Which of the following rules could represent the function shown in the table?
Answers
Answer:
f(x) = 2x + 1.
Step-by-step explanation:
In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (1, 3)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (3 - 1)/(1 - 0)
m = 2/1 = 2
Therefore, the slope of the function is, m = 2.
Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.
Therefore, the function rule that represents the given table of values is:
f(x) = 2x + 1.Related Questions
for each of the solutions of the equations find two consecutive integers between which the solution is located.
x²=3
Answers
Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.
The equation given is:
[tex]x^2 = 3[/tex]
The solution of the equation given is:
[tex]x = \sqrt{3}[/tex]
The squares of the integers numbers until the square root of 3 are:
[tex]1^2 = 1[/tex]
[tex]2^2 = 4[/tex]
Since [tex]1 < 3 < 4[/tex], the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.
A similar problem is given at https://brainly.com/question/3729492
10p^8 divided by 5p^4
Answers
Answer:
[tex]\sf \cfrac{10p^8}{5p^4}[/tex]
Factor: [tex]\sf 10= 5\times 2[/tex]
[tex]\sf \cfrac{5\times \:2p^8}{5p^4}[/tex]
Cancel common factor:- 5
[tex]\sf \cfrac{2p^8}{p^4}[/tex]
Use the Quotient Rule:
[tex]\sf 8-4=4[/tex]
[tex]\boxed{\sf 2p^4}[/tex]
If Kevin has 3/4 of a rope in needs 4/8 of a rope how much more rope does he need.
Answers
If he needs 4/8 then he doesn't need anymore rope because 3/4 is equal to 6/8
Umm is this right or wrong and if it's wrong can you tell me the right answer?
Answers
Answer:
30
Step-by-step explanation:
d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30
help pleaseeeeeeeeeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
ford would be 250 in metres and the decimal would be the smallest
jerry, Simon, curst, carl, ford
What is 2 and 2/3 x 5
Answers
Answer:
13 and 1/3
Step-by-step explanation:
2×5=10
2/3 ×5 =10/3
10/3 simplifies to 3 and 1/3
Add them together to get 13 and 1/13
1. Subtract the linear expressions.
(45x−5)−(13x+4)
What is the difference?
Enter your answer in the box. Enter fractions as simplified fractions.
2. Add the two expressions.
−2.4n−3 and −7.8n+2
Enter your answer in the box.
3. Subtract the linear expressions.
(−3.6x+9.4)−(1.9x+3.6)
What is the difference?
Enter your answer in the box.
4. Subtract 5x−2 from −3x+4 .
A.2x + 2
B.8x−6
C.−8x+6
D.−8x+2
Please try and put the correct answers.
If all correct I will mark them brainilest
Answers
[tex](1)\\\\(45x -5) -(13x +4) = 45x-5-13x -4 = 32x -9\\\\\\(2)\\\\-2(4n) -3 + (-7)(8n) +2 = -8n-56n -1 = -64n -1 = -(64n+1)\\\\(3)\\\\(-3.6x+9.4) - (1.9x +3.6) = -3.6x +9.4 -1.9x -3.6 =-5.5x+5.8\\\\\\(4)\\\\-3x+4-(5x-2) = -3x+4-5x +2=-8x +6[/tex]
(High School Geometry) What is the minimum number of regions that are formed by 100 distinct lines in a plane? What is the maximum number of regions formed by 100 lines in the plane?
Answers
Answer:
101 - min, 5051 - maxStep-by-step explanation:
Minimum number of regions
You may have 100 parallel lines. This will give us 101 regions
Use following formula to find the maximum possible number of regions:
R(n) = 1 + n(n + 1)/2, where n is the number of linesR(100) = 1 + 100*101/2 = 5051What’s the answer to -4/4+160%+1/5=
Answers
Answer:
I think it is 1 4/159
Step-by-step explanation:
Ella buys a computer for $785 her local tax rate is 7% how much does Ella pay for the computer
Answers
Answer:
$839.95
Step-by-step explanation:
There are 2 ways to go about this. First, the logical method is to calculate the tax and then add it to the price:
7%=7/100=0.07
7% “of” the amount says to multiply. The word “of” in maths means multiply:
0.07×$785=$54.95. The tax is $54.95
The computer costs $785. Plus the tax $54.95: $785+$54.95=$839.95
She pays $839.95 for the computer, including tax.
You can do this calculation in 1 step. If you are like me, I like to do my math as quickly and as efficiently as possible. What we did above is this:
100% of the computer price plus 7% of the computer price to get the total cost taxes in.
100% + 7% = 107%. And 107% = 1.07
So we have the following:
$785×1.07=$839.95
Hope this helps :)
Answer:
$839.95
Step-by-step explanation:
From the question, we are informed that Ella buys a computer for $785 and that her local tax rate is 7%. The amount that Ella pay for the computer, including tax will be:
= $785 + (7% × $785)
= $785 + (0.07 × $785)
= $785 + $54.95
= $839.95
Question is on picture attached
Answers
Answer:
Both triangles are congruent.
so 30/36 = 5/6 = 0.83333333333...
35/x should also be 0.83333333333.. so 35/0.83333333333.. is x
x = 42
Sin x= cos y show that x+y=90
Answers
Answer:
just do sinx and cos y equal when x=y= multiple of pie by 4
Step-by-step explanation:
pie by 4 plus pie by 4 = 90
If I helped please mark brainliest it means a lot to my progression! <3 Thanks!
(Picture provided)
Helppppppp plsss
Answers
Answer:
100 degrees
Step-by-step explanation:
at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.
5
x
:
8
=
7
:
2
Calculate the value of x
.
Give your answer in its simplest form.
Answers
Answer:
Step-by-step explanation:
5x:8=7:2
5x/8=7/2
By Cross Multiplication:
10x=56
x=56/10
x=28/5
If you need to ask any question,please let me know.
What is the slope of the line that passes through (0, 7) and (3, 10)?
Answers
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )
m = [tex]\frac{10-7}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1
pls help with this question asap!
Answers
Answer:
ggggggggggggggggggggg
A wooden beam is (3y2 + 7y+1) meters long. If a piece of length (y2 - 10) meters is cut off, express the length of the
remaining piece of beam as a polynomial in y.
Answers
Answer:
2y^2 +7y +11
Step-by-step explanation:
The remaining length is the difference between the original and the length cut off:
remaining = whole length - piece length
remaining = (3y^2 +7y +1) -(y^2 -10)
= 3y^2 +7y +1 -y^2 +10 = (3 -1)y^2 +7y +(1 +10)
remaining = 2y^2 +7y +11
6. Calculate the compound interest on investing $600.00 for 2 years at 7% per year.
Answers
Answer:
686.94
Step-by-step explanation:
first year, 42 interest
second year, 44.94 interest
Total=686.94
Work out the midpoint A of the line segment B, where A(3,10) and B(5.8).
Answers
Answer:
Midpoint of (3,10) & (5,8) is (4,9)
Examine the following table, which represents some points on a line.
x 3 0 −3 −6 −9
y −3 −2 −1 0 1
What is the equation for the line in slope-intercept form?
y=−3x−2y is equal to negative 3 x minus 2, , ,
y=3x−2y is equal to 3 x minus 2, , ,
y=−13x−2y is equal to negative 1 third x minus 2, , ,
y=−13x−6y is equal to negative 1 third x minus 6, , ,
y=−3x−6
Answers
Answer:
(c) y = −1/3x −2
Step-by-step explanation:
We notice two things in the table.
y goes up by 1 when x goes down by 3.y = -2 when x = 0 (this is the y-intercept__
The slope of the line is ...
m = (change in y)/(change in x) = +1/-3 = -1/3
Then the slope-intercept equation is ...
y = mx +b . . . . . . slope m, y-intercept b
y = -1/3x -2
Answer is C
Step-by-step explanation:
math
Hi I really need help with this please 25POINTS!!!
What is the Point of Maximum Growth of this function?
f(x)=(7)/(1+5e^(-0.9x)
Select the correct answer:
(0,7/6)
(0.39,3.5)
(-1.79,3.5)
(1.79,3.5)
Answers
Answer:
(0,7/6)
Step-by-step explanation:
Kelly runs a bakery that sells Chocolate Blizzards and Mint Breezes. The bakery must make at least 25 dozen and at most 45 dozen Chocolate Breezes. The bakery must make at least 2 dozen and at most 15 dozen Mint Breezes. Each dozen of Chocolate Blizzards requires 5 ounces of flour while each dozen of Mint Breezes requires 9 ounces of flour. The bakery only has 315 ounces of flour available. If a dozen Chocolate Blizzards generates $2.92 in income, and a dozen Mint Breezes generates $2.11 in income, how many dozen of each dessert should Kelly make to maximize profit? Show all work. I just need the equations I would need to get this answer.
Answers
-4x-3y=5 3x-2y=-8 Solve by substitution
Answers
Answer:
look at the picture ..........
Answer:
y=1
x=-2
Step-by-step explanation:
Lets use substitution for the first equation:
-4x=5+3y
Divide by -4 on both sides : x=-5/4-3/4y
Now we substitute x into the second equation:
3(-5/4-3/4y)-2y=-8
Simplify : -15/4-9/4y-2y=-8
Combine Like Terms : -15/4-17/4y=-8
Isolate the Variable : -17/4y=-17/4
y=1
Now we get that x is -5/4-3/4, which is -8/4=-2
x=-2
A bacterial culture starts with 3000 bacteria and grows to a population of 12 000 after 3h. Determine the number of bacteria after 8 h.
Answers
Answer: 32000
Step-by-step explanation:
12000 divided by 3 =4000
4000 x 8 =32000
Solve (MAFS.912.A-REI.2.3)
4
15= 2
+8
A. =1
2 B. =−1
2
C. =2 D. =−2
Answers
Answer:
c,=2d=-2
Step-by-step explanation:
Naomi has earned $81 mowing lawns the past two days. She worked 3
1
2
hours yesterday and 3
1
4
hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?
Answers
Answer:
She would of made $40.5 because of $81 divided between the 2 days that she worked
You have a jar of jolly ranchers that contains: 15 cherry, 10 blue raspberries, 6 green apples, and 4 grapes.
Without looking, what is the probability that you select a green apple jolly rancher, eat it, then select a cherry?
The probability that both events occur is
which is
%. Round percent to the nearest whole
number.
Done and Review
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INTI
O
Answers
Answer:
9 / 119 or 8%
Step-by-step explanation:
there are a total of 35 candies, of which 6 are green and 15 are cherry
P(Green) = 6/35
P(Cherry) = 15/35
P(Green,Cherry) = 6/35 · 15/34
= 9/119 or 7.6%
When 3(2x + 9) = 4x - 7 is solved for X, the solution is
1
3.
is 17
4
xs-17
Answers
[tex]\\ \sf\longmapsto 3(2x+9)=4x-7[/tex]
[tex]\\ \sf\longmapsto 6x+27=4x-7[/tex]
[tex]\\ \sf\longmapsto 6x-4x=-7-27[/tex]
[tex]\\ \sf\longmapsto 2x=-34[/tex]
[tex]\\ \sf\longmapsto x=17[/tex]
Name
Lily Daku November 17, 2021 pec
Common Core Standards Practi
Selected Response
co
1. Find the slope of the line that
passes through the points (-1,9)
and (3, 17).
Answers
Substitute
(9 - 17/-1 - 3) = 2
7: A flight lasting 3 hours and 45 minutes lands at 7:50
pm. What time did the flight take off?
Answers
4:05 pm
Step-by-step explanation:
take off time 7:50 - 3:45
= 4:05
