10
Velocity (m/s)
8-
6-
4
2-
of
0-
0 2 4 6 8 10
10 12 14 16 18 20
Time (seconds)
a) Work out the total distance travelled on the cycle.
b) Work out the acceleration in the last 8 seconds.
Answers
The total distance travelled on the cycle is 30.46m and the acceleration is the last 8 seconds is 0.85 m/s².
What is acceleration?"Acceleration is the measure of the speed at which velocity changes."
OR "Acceleration depends upon the velocity if the velocity continously increases or decreases the acceleration will be produced."
Positive acceleration results from continuously increasing velocity.
Negative acceleration will be negative if the velocity is continuously decreasing.
FORMULA
Acceleration is defined as a change in velocity divided by time, or a = (Vf-Vi)/t UNIT.
Meter/second+square, or m/S², is the SI unit of velocity in the MKS system.
a. Total distance = Hypotenuse₁ + mid distance + Hypotenuse₂
Hypotenuse₁ = [tex]$ \sqrt{10^2 + 6^2} $[/tex]
Hypotenuse₁ = 11.66m
mid distance = 12 - 6
= 6m
Hypotenuse₂ = [tex]$ \sqrt{10^2 + (20-12)^2} $[/tex]
Hypotenuse₂ = [tex]$ \sqrt{10^2 + (8)^2} $[/tex]
Hypotenuse₂ = 12.80m
Total distance = 11.66m + 6m + 12.80m
Total distance = 30.46m
b. Acceleration [tex]{\displaystyle ={\frac { \text{v - u} }{t}}[/tex]
[tex]\displaystyle = {\frac { \text{12.80 - 6} }{8}[/tex]
[tex]\displaystyle = {\frac { 6.80 }{8}[/tex]
0.85 m/s²
Thus, the total distance travelled on the cycle is 30.46m and the acceleration is the last 8 seconds is 0.85 m/s².
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Related Questions
please help me answer this ty :)
Answers
to change the weight of kilograms into pounds, multiply the weight in kilograms by ____________
Answers
1 kilograms is equal to 2.205 pounds, which leads to the conversion factor of 2.205. The conversion factor is based on both the Avoirdupois system of measurement, which is used in the United States and the United Kingdom to measure weight or mass, and the International System of Units (SI).
The basis for the Avoirdupois system is the pound, which is equal to 0.45359237 kilos. Consequently, 0.45359237 kilograms equal one pound.
Finding the weight in pounds of 1 kilograms is necessary to convert kilograms to pounds. We can divide 1 kilograms by 0.45359237 kilograms/pound to get this equivalent weight.
1 kg / 0.45359237 kg/lb = 2.20462262 lb
This is the kilograms to pound conversion factor. The value is rounded to the widely regarded and employed value of 2.205.
Therefore, to convert kilograms to pounds, we multiply the weight in kilograms by 2.205.
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what is the sum of the measures of the interior angles, in degrees, of a decagon (10-sided polygon) ?
Answers
The sum of the measures of the interior angles, in degrees, of a decagon (10-sided polygon) is 1440°
A polygon having ten sides (or a ten-sided polygon) is called a decagon or ten-gon, in geometry. Also, it has ten vertices and ten angles.
The summation of the interior angles of a polygon is ( n - 2 ) x 180 where n is the number of sides.
The sum of interior angles = (10 - 2) x 180
The sum of interior angles = 1440º
Therefore the measure of each angle is
10 angles = 1440
1 angle = 1440 ÷ 10 = 144º
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a teacher has two large containers filled with blue, red, and green beads. he wants his students to estimate the difference in the proportion of red beads in each container. each student shakes the first container, randomly selects 50 beads, counts the number of red beads, and returns the beads to the container. the student repeats this process for the second container. one student sampled 13 red beads from the first container and 16 red beads from the second container. assuming the conditions for inference are met, what is the 95% confidence interval for the difference in proportions of red beads in each container?
Answers
Answer: Assuming the conditions for inference are met, we can use the difference in proportions of red beads in the two samples to estimate the difference in proportions of red beads in the population. The 95% confidence interval for the difference in proportions of red beads in the two containers is calculated as follows:
Difference in sample proportions = p1 - p2 = (13/50) - (16/50) = -0.03
Standard error of the difference in sample proportions = sqrt{(p1*(1-p1)/n1) + (p2*(1-p2)/n2)} = sqrt{(13/50)(37/50)/50 + (16/50)(34/50)/50} = 0.079
Margin of error = z* * standard error of the difference in sample proportions = 1.96 * 0.079 = 0.155
95% Confidence interval for the difference in proportions of red beads in the two containers = (difference in sample proportions - margin of error, difference in sample proportions + margin of error) = (-0.03 - 0.155, -0.03 + 0.155) = (-0.185, 0.125)
So, we can be 95% confident that the difference in the proportion of red beads in the two containers is between -0.185 and 0.125.
Step-by-step explanation:
what is the answer to 15/4 + 7/12 x 3/28
Answers
The ratio of 2 or more integers is known as fraction. The answer to the given expression is 3 13/16
Solving and simplifying rational expressionsFractions are written as a ratio of two integers. Fractions are written in the form a/b
Given the expression below:
15/4 + 7/12 x 3/28
Required
Simplified form of the expression
On solving, we will have;
15/4 + (7/12 x 3/28)
15/4 + (1/4 x 1/4)
15/4 + 1/16
Find the LCM of the resulting sum
15/4 + 1/16= [4(15)+1]/16
15/4 + 1/16 = 61/16
15/4 + 1/16 = 3 13/16
Hence the answer to the given expression is 3 13/16
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Please Help me out with precal
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a vacant lot measures 50' x 102'. if the lot sold for $108,250, what was the price per square foot...?
Answers
The price per square foot of a vacant lot that measures 50' x 102' and sold for $108,250 is $21.23.
To find the price per square foot of the vacant lot, we need to divide the total price by the total area of the lot.
We can find the area of the lot by multiplying the length by the width:
Area = 50' x 102' = 5100 sq.ft
Then, we can divide the total price by the total area to find the price per square foot:
Price per sq.ft = Total Price / Total Area
Price per sq.ft = 108,250 / 5100
Price per sq.ft = 21.23
Therefore, the price per square foot of the vacant lot is $21.23.
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Solve the following system of Linear Equations:
Answers
Answer:
1.) x=1; y=1
2.) x=1; y=5
3.) No solution
Step-by-step explanation:
1.) To start off with number one, we see that in both equations the x and y are positive, and the sums aren't equal to each other, this means we have to do something to make them equivalent. For example, we can multiply the top equation by 8 and the bottom equation by 7, so we get the equations 32x + 24y = 56 and the bottom equation to be 21x+35y=56. From here we can just make the equations equal each other to get 32x+ 24y = 21x +35y. From here we can just get a certain amount of x to equal certain amount of y by taking away the smaller amount of each and bringing it to the other side by subtracting. From that we get 11x = 11y. We can simplify this to be x=y. Now we can substitute either x or y in either equation to get 4x + 3(x) = 7. Then you solve algebraically and you get x=1. Now since we established that x was already equal to y, both x AND y are equal to 1.
2.) For this problem, we have an x that is negative in one equation and positive in the other. This means we can use the method of multiplying the bottom equation by 3 to get 3x +3y = 18. Now we are able to add both equations to each other crossing out the x's because they cancel out. From this we get 4y=20, Which means y=5. We can now plug this back into the equation to get x+(5) = 6. Which means y=5 and x=1.
3.) For this problem, we have both equations equal to y. However the x's are also equal to each other. Meaning if we were to solve them like in problem one, we would get the issue of cancelling the x's out and just getting 13/2=9/2 which is a problem because they do not equal each other. But, we can notice that both of the given systems are linear lines, meaning we could plot them off a graph. But to save time, we can notice that both equations have the exact same slope but different starting positions. Meaning that both lines would be parallel to each other. Since both lines are parallel to each other, There will never be an intersection, or answer between them. Making x and y null (no answer)
Over the summer, for every 13 orka seeds Dana planted, 8 grew into plants. if he planted 130 orka seeds, how many grew into plants
Answers
Answer:
80 grow into plants
Step-by-step explanation:
Fraction word problems:
Out of 13 seeds, 8 grew into plants.
[tex]\sf \text{Number of seeds grown out of 130 okra seeds} = \dfrac{8}{13}*130[/tex]
= 8 * 10
= 80
Out of 130 seeds, 80 grow into plants.
If A and B are mutually exclusive, then P(A\capB) = 0.
A and B are independent if and only if P(A\capB) = P(A)P(B)
If A and B are two events with P(A) = 0.4, P(B) = 0.2, and P(A B) = 0.5. Find the following:
(a) P(A \cap B) (b) P(A?\cap B) (c) P(A?\cup B?) (d) P(A|B)
If A and B are independent events with P(A) = 0.4 and P(B) = 0.2. Find the
following:
(a) P(A \cap B) (b) P(A?\cap B) (c) P(A? \cup B?) (d) P(A|B)
If A and B are mutually exclusive events with P(A) = 0.4 and P(B) = 0.2. Find the following:
(a) P(A\cap B) (b) P(A?\cap B) (c) P(A? \cup B?) (d) P(A|B)
Roll a die once. The event of getting a "2" and the event of getting a "5" are (a) independent;
(b) mutually exclusive;
(c) Neither
Roll a die twice. The event of getting a "2" on the first roll and the event of getting a "5" on the second roll are
(a) independent;
(b) mutually exclusive;
(c) Neither
Answers
(A) P(AB) = P(A B) = 0.5 denotes that there is a 0.5 chance that occurrences A and B will occur simultaneously. We cannot tell whether this relationship holds true for these specific events because the provided information does not specify whether A and B are independent or mutually exclusive.
(b) P(A'B) = P(A') + P(B') - P(A'B') = 0.6 denotes that there is a 0.6 chance that events A and B will occur together.
(c) The chance that either the complement of event A or the complement of event B will occur is 0.5. P(A'B') = 1 - P(AB) = 1 - 0.5 = 0.5.
(d) P(A|B) = P(AB) / P(B) = 0.5 / 0.2 = 2.5 denotes that there is a 2.5 percent chance that event A will occur provided that event B has already occurred.
If P(A) = 0.4 and P(B) = 0.2, respectively, then A and B are independent events.
(a) P(AB) is the probability that both occurrences A and B will occur at the same time. It is calculated as P(A) * P(B) = 0.4 * 0.2 = 0.08. The likelihood that A will occur is independent of the likelihood that B will occur since the two events are unrelated.
(b) P(A'B) = P(A') * P(B) = (1-0.4) * 0.2 = 0.12 is the likelihood that events A and B will occur in complement.
(c) The probability that either the complement of event A or the complement of event B will occur, or both, is given by P(A'B') = 1 - P(A'B) = 1 - 0.08 = 0.92.
(d) P(A|B) = P(AB) / P(B) = 0.08 / 0.2 = 0.4, which represents the likelihood that event A will occur in the absence of event B.
if P(A) = 0.4 and P(B) = 0.2, respectively, and A and B are events that cannot coexist.
(a) P(AB) = 0 (by definition of mutual exclusion), indicating that there is no chance that events A and B will occur simultaneously.
(b) The probability that event A's complement, event B, will occur is P(A'B) = P(B) = 0.2.
(c) The probability that either the complement of event A or the complement of event B will occur, or both, is P(A'B') = P(A') + P(B') = 0.6.
(d) Since P(AB) = 0, the probability of event A occurring provided that event B has already occurred is undefined. P(A|B) = P(AB) / P(B) = 0 / 0.2 = undefined.
Roll a die once. The event of getting a "2" and the event of getting a "5" are mutually exclusive.
Roll a die twice. The event of getting a "2" on the first roll and the event of getting a "5" on the second roll are independent events.
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What is the perimeter of the triangle? base is 20 units
Answers
Answer:
60
Step-by-step explanation:
there are three sides to a triangle so 20x3 is 60 which is the perimeter
Find the volume of this shape
Answers
Answer:
410cm^3
Step-by-step explanation:
The Volume of the upper rectangular prism is 10x3x8 which is 240
The volume of the middle prism is 6x5x3 which is 90
And the volume of the bottom prism is 8x2x5 which is 80
If you add them all up, the total volume is 410
Note(The volume of a rectangular prism is base x height x width)
work out the area of this shape
Answers
Answer:
it is 28 cm^2 ig
you got to solve it in the same way as the first question ( divide the shape into rectangles and find the area of each then add them )
in response to the increasing weight of airline passengers, the federal aviation administration (faa) told airlines to assume that passengers average 190 pounds in the summer, including clothes and carry-on baggage. but passengers vary, and the faa did not specify a standard deviation. a reasonable standard deviation is 35 pounds. a commuter plane carries 30 passengers. find the probability that the total weight of 30 randomly selected passengers exceeds 6000 pounds. (hint: to calculate this probability, restate the problem in terms of the mean weight.)
Answers
The probability of 30 random people having weight more than 6000 pounds is 0.3134 or 31.34%.
To find the probability that the total weight of 30 randomly selected passengers exceeds 6000 pounds, we can use the Central Limit Theorem (CLT) which states that the sum of a large number of independent and identically distributed random variables will tend to be normally distributed, regardless of the underlying distribution of the individual variables.
Since we know the average weight of a passenger (190 pounds) and a reasonable standard deviation (35 pounds), we can use this information to calculate the mean and standard deviation of the total weight of 30 passengers.
The mean weight of 30 passengers is:
30*190 = 5700 pounds
The standard deviation of the weight of 30 passengers is:
sqrt(30)*35 = 59.8076211353316
Now we can use the standard normal distribution table, or z-score formula to find the probability that the total weight of 30 randomly selected passengers exceeds 6000 pounds.
z = (6000-5700)/59.8076211353316
z = 0.50251572
The probability of a z-score being greater than 0.50251572 is 0.3134, this means that there is a 31.34% chance that the total weight of 30 randomly selected passengers will exceed 6000 pounds.
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sin^2A.cos2B- sin^2B.cos2A= cos^2B-cos^2A
show in step by step explanation
Answers
Answer: hoped this help. bye.:)
How much does 1 kg of butter cost at the rate shown in the picture? Butter: 454 kg & $3.39
Answers
Answer:
0.00746696035
Step-by-step explanation:
3.39/454 = 0.00746696035
Rounded that would only be 1 cent per kg. Hummmppp....
quadrilateral GHIJ is similar to quadrilateral KLMN. Find KL. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answers
Length of KL is 31.5 unit.
What is quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.
Given in the figure
GJ = 15
GH = 8
KN = 59
KL = x
GHIJ and KLMN are similar
therefore, ratio of the sides will be equal
GJ/GH = KN/KL
15/8 = 59/x
x = 59 × 8/15
x = 472/15
x = 31.4667
Hence,31.5 is length of KL.
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A car costs £12000 when bought. It's value depreciates by 10% of the previous years value for 1 year and then at 7.2% for the next 10 years. How much will the car be worth in 5 years time?
Answers
Therefore ,on solving the provided question we can say that - Simple Interest after 5 year the car value is £7,689.6
what is interest ?Simple interest is calculated by dividing the principal by the interest rate, the passage of time, and other elements. The formula used in marketing is simple return = principal + interest + hours. Using this approach, interest may be calculated most easily. The most common way to calculate interest is as a percentage of the principal balance. If he borrows $100 from a friend and agrees to pay it back with 5% interest, for instance, he will only pay his proportion of the 100% interest. $100 (0.05) = $5. You must pay interest when you borrow money and charge interest when you lend it.
here,
rate = 10%
Time = 1 year
Principle = 12000
=>SI = PRT/100
=> SI = 10*1*12000/100
=> SI = 1200
and
=> After 1 year = 12000 -1200 = 10800
and
for five years
=> SI = PRT/100
=> SI = 10800 * 7.2 * 4 / 100
=> SI = 3110.4
After 5 year = 10800 - 3110.4 = 7,689.6
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. In order to have a negative correlation between two variables, which of the following is most accurate? A. The covariance must be negative. B. Either the covariance or one of the standard deviations must be negative. C. The covariance can never be negative
Answers
In order to have negative correlation between two variables the covariance must be negative.
What is correlation?
The degree to which two variables are linearly related is expressed by the statistical concept of correlation (meaning they change together at a constant rate). It is a typical technique for outlining straightforward connections without stating cause and effect.
The correlation between two variables x and y is,
[tex]r = \frac{Cov(x, y)}{S_x*S_y}[/tex]
where,
Cov(x, y) is the covariance between x and y.
[tex]S_x[/tex] and [tex]S_y[/tex] respectively denotes the standard deviation of x and y.
If the correlation is negative then r < 0.
Now r < 0
[tex]\frac{Cov(x, y)}{S_x*S_y} < 0\\Cov(x, y) < 0\\Sx > 0, S_y > 0[/tex]
If r < 0 the Cov(x, y) < 0.
In order to have negative correlation between two variables the covariance must be negative.
Hence, in order to have negative correlation between two variables the covariance must be negative.
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If 2xsquare - 2ysquare=125 and x-y= 2.5 find the value of x + y
Answers
The value of (x + y) is 25.
What is solving an equation?
We must use arithmetic operations to separate the variables in order to solve any equation.
The same number is added on both sides.
Taking away the same number from both sides.
using the same number on both sides of the multiplication.
using the same number on both sides to divide.
Consider, the given equations
2x^2 - 2y^2 = 125 ..(1)
x - y = 2.5 ..(2)
From equation (1)
x^2 - y^2 = 125/2
By using: [tex]a^2 - b^2 = (a - b)(a + b)[/tex]
⇒ (x - y)(x + y) = 125/2
Given: (x - y) = 2.5
⇒ 2.5*(x + y) = 125/2
(x + y) = 125/(2*2.5)
x + y = 125/5
x + y = 25
Hence, the value of (x + y) is 25.
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Show your work to receive full credit. Find the solution to the system of equations.
3x+6y=18
X-12y=31
Answers
The solution to the system of equations for 3x+6y=18 and X-12y=31 are:
X=37/7 and Y=25/14
A system of equations is a set of one or more equations involving a number of variables.
A system of equations is also known as a set of simultaneous or equation systems.
Now, consider the given equations:
3x+6y=18--------(1)
X-12y=31---------(2)
the equation can be rewritten as 3x+6y-18=0, by taking the common number in the equation we get:
x+2y-6=0 as x+2y=6----(3)
To solve the equations add them (2)+(3)
X-12y=31
X+2y=6
changing the signs we get
14y=25
y=25/14
Now substitute y value equation(3)
X+2(25/14)=6
7X+25=42
7X=37
X=37/7
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a collector offers to buy state quarters for $2000\%$ of their face value. the face value of each quarter is $25$ cents. at that rate how many dollars will bryden get for his four state quarters?
Answers
A collector offers to buy state quarters for 2000% of their face value. The face value of each quarter is 25 cents. At that rate 20 dollars Bryden will get for his four state quarters.
In the given question, a collector offers to buy state quarters for 2000% of their face value.
The face value of each quarter is 25 cents.
We have to find at that rate how many dollars Bryden will get for his four state quarters.
As given that,
Collector buy state quarters = 2000% of their face value
We can write 2000% as 20×100%.
It means that state quarters is 20 times of their face value.
As we know that, 4 quarter is equal to the one dollar. So,
Bryden get for his four state quarters = 20×1 dollars
Bryden get for his four state quarters = 20 dollars
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A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is given by a(t) = cos t . At time t = 0, its position Is x = 3.
(a) Find the velocity and position functions for the particle.
(b) Find the values of t for which the particle is at rest.
Answers
a) The velocity and position functions are given as follows:
Velocity: v(t) = sin(t).Position: s(t) = -cos(t) + 3.b) The particle is at rest when: t = kπ, k = ± 1, ± 2, ± 3, ...
How to obtain the functions?The acceleration function for this problem is defined as follows:
a(t) = cos(t).
The velocity function is the integral of the acceleration function, hence it is given as follows:
v(t) = sin(t).
(as the integral of cos(t) is sin(t).)
The particle will be at rest when:
v(t) = 0.
Hence:
sin(t) = 0
t = arcsin(0)
t = kπ, k = ± 1, ± 2, ± 3, ...
The position function is the integral of the velocity function, hence it is given as follows:
s(t) = -cos(t) + 3.
As:
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Okay so like yeah can u help me
Answers
Answer:
1.2
Step-by-step explanation:
[tex]\frac{v}{5}[/tex] = [tex]\frac{3}{13}[/tex] Cross multiply and solve for v
13v = 15 Divide both sides by 13
[tex]\frac{13v}{13}[/tex] = [tex]\frac{15}{13}[/tex]
v = 1.2 rounded to the nearest tenth
Why this works
[tex]\frac{v}{5}[/tex] = [tex]\frac{3}{13}[/tex] we can clear the fraction by multiplying both sides of the equal sign by (5·13)
[tex]\frac{(5x13)}{1}[/tex] · [tex]\frac{v}{5}[/tex] = [tex]\frac{(5x13)}{1}[/tex] ·[tex]\frac{3}{13}[/tex] On the left of the equal sign the 5's cancel out and the on the right of the equal sign the 13's cancel out.
13v = 5(3)
13v = 15
my three-digit code is . reckha can't choose a code that is the same as mine in two or more of the three digit-positions, nor that is the same as mine except for switching the positions of two digits (so and , for example, are forbidden, but is fine). reckha can otherwise choose any three-digit code where each digit is in the set . how many codes are available for reckha?
Answers
9,900 codes that are available for reckha.
There are a total of 10,000 possible three-digit codes when each digit is in the set {0,1,2,3,4,5,6,7,8,9}. Since each digit can take 10 different values, we can use the formula 10^3 = 1000 to calculate the total number of codes.
However, since reckha cannot choose a code that is the same as yours or one that is the same as yours except for switching the positions of two digits, we have to subtract these possibilities from the total. We can calculate the number of codes forbidden by subtracting the number of codes with the same digits in all three positions (10) and the number of codes with the same digits but different positions (90) from the total. This leaves us with 10,000 - (10 + 90) = 9,900 codes that are available for reckha.
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- square root of 16y^2 if y<0
Answers
By square root, power and sign properties, the expression - 16 · y is the square root of 16 · y² for y < 0.
How to find the square root of an algebraic expression
Let be n a real number, x is the square root of n if and only if n = x², that is:
x = √n
In addition, we find by sign properties the following two cases according to sign of variable y:
If x < 0, then x = - √n.If x > 0, then x = + √n.Now we proceed to find the square root of 16 · y² for y < 0. First, write the square root described in statement:
√(16 · y²)
Second, use square root and power properties:
√16 · √y², where y < 0.
- 16 · y
In conformity with square root, power and sign properties, the square root 16 · y² for y < 0 is the expression - 16 · y.
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Susan used a thermometer to record temperatures of -7.4 degrees celsius and 1.8 degrees celsius. which temperature in degrees celsius is less than the temperatures susan recorded?
Answers
-7.4 degrees celsius is less than the temperatures Susan recorded.
To explain, temperatures are measured on a scale, with 0 degrees celsius being the point at which water freezes and 100 degrees celsius being the point at which water boils. A temperature of -7.4 degrees celsius is therefore less than the recorded temperatures of -7.4 and 1.8 degrees celsius.
The temperature is a measure of the thermal energy of a substance or system, and is typically measured on a scale, such as the Celsius scale or the Fahrenheit scale.
In other words, the number -7.4 is less than 1.8 and -7.4 on the scale of temperature, meaning that -7.4 degrees celsius is less than the temperatures Susan recorded.
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[I WILL GIVE BRAINLIEST] This shape is made up of one half-circle attached to an equilateral triangle with side lengths of 8 inches. You can use 3.14 as an approximation for π. What is the approximate perimeter of the entire shape?
Answers
The solution is, The perimeter is 37inches.
How to find the perimeter of a figure?The perimeter of a figure is the sum of the whole sides of the figure.
Therefore, the perimeter of the entire shape can be calculated as follows:
The shape is made of one half-circle attached to an equilateral triangle
Therefore,
circumference of the semi-circle = πr
r = 8 / 2 = 4 inches
circumference of the semi-circle = 4π
Hence,
perimeter of the shape = 8+8+8+4π
perimeter of the shape = 24+ 4(3.14)
perimeter of the shape = 24 + 12.56
= 36.56
Therefore, perimeter of the shape = 37 inches (approx)
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Write the transformation of the function in algebraic form. Then graph the function and its parent function, and describe the transformations .
Answers
The transformation for the graph f(x) to h(x) is a vertical transformation of 2 units.
The graph is given below.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
f(x) = x
h(x) = x + 2
h(x) = f(x) + 2
Now,
f(x) → h(x)
The transformation from f(x) to h(x) is a vertical translation of 2 units.
i.e
f(x) → f(x) + 2
The graph is given below.
The blue line is the function.
The red line is the parent function.
Thus,
The transformation of the function is f(x) → f(x) + 2.
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Carol has three times as many 10 dollar bills as 5 dollar bills. she has a total of $350.
how many five dollar bills does carol have? how many 10 dollar bills?
Answers
3f represents the number of tens
5f + 10(3f) = 350
