F (x) =3(x-2) given that f(t) =6, find t
Answer:
[tex]\qquad{:}\longrightarrow\tt f (x)=3 (x-2)[/tex]
[tex]\qquad{:}\longrightarrow\tt f (t)=3 (t-2)[/tex]
ATQ[tex]\qquad{:}\longrightarrow\tt f(t)=6 [/tex]
[tex]\qquad{:}\longrightarrow\tt 3 (t-2)=6 [/tex]
Simplify[tex]\qquad{:}\longrightarrow\tt 3t-2=6[/tex]
[tex]\qquad{:}\longrightarrow\tt 3t=6+2 [/tex]
[tex]\qquad{:}\longrightarrow\tt 3t=8 [/tex]
[tex]\qquad{:}\longrightarrow\tt t=\dfrac{8}{3}[/tex]
[tex]\therefore\sf t=\dfrac{8}{3}[/tex]
Answers please quickk
Answer:
Step-by-step explanation:
1 is addition
2 is subtraction
3 is division
The Great Pyramids of Giza are named the Pyramid of Menkaure, the Pyramid of Khafre and the Pyramid of Khufu. The height and base of each of these pyramids are: 65.5 m by 103.4 m2, 136.4 m by 215.25 m2, 138.8 m by 230.4 m2 respectively. What is the volume of each of the Great Pyramids of Giza?
Step-by-step explanation:
The volume of a pyramid is equal to one third the product of the area of the base and the height.
Pyramid of Menkaure
Area of Base, B = 103.4 m2
Height, H = 65.5 m
Volume = 1/3 * BH
Volume = 1/3 * 103.4 * 65.5 = 2257.56 m3
Pyramid of Khafre
Area of Base, B = 215.25 m2
Height, H = 136.4 m
Volume = 1/3 * BH
Volume = 1/3 * 215.25 * 136.4 = 9786.7 m3
Pyramid of Khufu
Area of Base, B = 230.4 m2
Height, H = 138.8 m
Volume = 1/3 * BH
Volume = 1/3 * 230.4 * 138.8 = 10598.4 m3
Solve 20/420 and remember to add the partial quotients to find the actual quotient.
Answer:
0.0476
Step-by-step explanation:
To solve 20/420,
We first reduce the numerator and denominator to its lowest terms(we are not using long division method) :
In the fraction 20/420, we cancel out the zeros =2/42
In the fraction 2/42, 2 will divide numerator and denominator so =1/21
To find the actual quotient, we are sure to get a result of decimal number since numerator is already smaller than denominator,
Therefore 1/21= 0.0476 to 4 decimal places
Note : we add zero to the numerator till it can be divided by 21(even with a remainder) hence the "0.0" before 4
Is this a cubic graph?
Is it a reflection of its parent graph?
This graph shifted _ by _ units
Answer:
we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.
Thus, the graph is shifted left by 2 units.
The graph of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown below.
Step-by-step explanation:
If we carefully analyze the given graph, it is clear that the given graph is the transformed image of form f(x+b) of parent cubic graph f(x) = x³.
In this graph, the function f(x) has been moved over 2 units to the left.
In order to shift a function 2 units to the left, we need to add '2' inside the function's input.
In other words,
f(x+2) = f(x+2)² means the function f(x) is shifted 2 units to the left.
Therefore, we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.
Thus, the graph is shifted left by 2 units.
The graph diagram of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown
below.
The red graph is representing f(x)=x³The blue graph is representing f(x+2) = f(x+2)²220 cm
110 cm
34 cm
22 cm
What is the area of this trapezoid?
square centimeters
Answer:
dunno
Step-by-step explanation:
A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and denominator , the fraction becomes 1÷2. Find tge fraction by using crammer rule.
Answer:
[tex]\dfrac{7}{9}[/tex]
Step-by-step explanation:
[tex]\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1[/tex]
[tex]\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5[/tex]
Putting it in matrix form
[tex]\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}[/tex]
From Cramer's rule we have
[tex]x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7[/tex]
[tex]y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9[/tex]
Verifying the results
[tex]\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}[/tex]
[tex]\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Hence, the fraction is [tex]\dfrac{7}{9}[/tex].
Bob's pet snake is 10 inches shorter than three times the length of Mary's pet snake. If both their snakes laid together end to end measure 110 inches, how long is Bob's snake? Which equation would NOT solve this problem?
Answer:
The length of Bob's snake = x = 80 inches
The length of Mary's snake = y = 30 inches
Step-by-step explanation:
Let the length of Bob's snake = x
the length of Mary's snake = y
From the above question:
Bob's pet snake is 10 inches shorter than three times the length of Mary's pet snake.
x = 3 × y - 10
x = 3y - 10
If both their snakes laid together end to end measure 110 inches, how long is Bob's snake?
x + y = 110 inches
Substance 3y - 10 for x
3y - 10 + y = 110
Add 10 to both sides of the Equation
3y + y -10 + 10 = 110 + 10
4y = 120
y = 120/4
y = 30 inches
x + y = 110 inches
x + 30 inches = 110 inches
x = 110 inches - 30 inches
x = 80 inches
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.
x+6-5=8-2
what is the answer to this question?
Answer:
The red one, or the one all the way to the right, or the last one
what is the percentage? and is it growth or decay
Answer:
The general form equation is: y(x)= a(1-r)^x such that r is the decay percent. Then, the decay percent is 75%. The equation represents exponential growth because the growth factor is greater than 1.
Answer:
use calculator
Step-by-step explanation:
but I think the answer is 75%
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of pp pennies and dd dimes?
Answer:
17 cents
Step-by-step explanation:
what is pp and dd tho
Penny is one cent
Dime is ten cents
1 pp = $0.01
1 dd = $0.10
2 pp = $0.02
3 dd = $0.30
2 pennies and 3 dimes is equal to $0.32 in dollar value.
Estimate 183 to the nearest integer.
Answer:
Step-by-step explanation:
1,83 x 10^2
6 G
[tex]21x4[/tex]
what is it? brainiest to to who gets it
Answer:
21 x 4 is 84
Step-by-step explanation:
6G (sixth-generation wireless) is the successor to 5G cellular technology -- 6G networks will be able to use higher frequencies than 5G networks and provide substantially higher capacity and much lower latency.
Find the square root.
9
25
0.12
Plz need help asap
Answer:
the square root of 9 is 3
the square root of 25 is 5
the square root of 0.12 is 0.346
Answer:
exact form is 3/5 and dcimal form is 0.6.
Step-by-step explanation:
simplify the radical by breaking the radicand up into a product of nown factors,assuming positive real numbers.
Please help me!! 15 pts and Brainliest!
Question and graph is in image, thanks and please answer correctly!
Answer:
the measure of angle sbt is 95 degrees
Step-by-step explanation:
50+35=85
180-85+95
A study by Great Southern Home Insurance revealed that none of the stolen goods were recovered by the homeowners in 80 percent of reported thefts: [ 6 marks] a. During a period in which 200 thefts occurred, what is the probability that no stolen goods were recovered in 170 or more of the robberies? b. During a period in which 299 thefts occurred, what is the probability that no stolen goods were recovered in 150 or more robberies?
Solution :
Given :
n = 200, p = 80% = 0.8, q = 1 - p = 0.2
[tex]$\mu = np$[/tex]
[tex]$= 200 \times 0.8 = 160$[/tex]
[tex]$\sigma= \sqrt{npq}$[/tex]
[tex]$\sigma= \sqrt{200 \times 0.8 \times 0.2}$[/tex]
= 5.6569
a). x = 169.5
∴ [tex]$z = \frac{x- \mu}{\sigma}$[/tex]
[tex]$z = \frac{169.5- 160}{5.6569}$[/tex]
= 1.6794
[tex]$P(x \geq 170) = P(z>1.6794) = 0.0465$[/tex]
Therefore, probability that the stolen goods were not recovered in 170 robberies or more is = 0.0465
b). x= 149.5
[tex]$z = \frac{x- \mu}{\sigma}$[/tex]
[tex]$z = \frac{149.5- 160}{5.6569} = -1.8561$[/tex]
[tex]$P(x \geq 150) = P(z>-1.8561) = 0.9683$[/tex]
Therefore the probability that the stolen goods were not recovered in the 150 or in more robberies is = 0.9683
2/3 divided by 3/4
Please help
Hey,
[tex] \frac{2}{3} \div \frac{3}{4} = \frac{2}{3} . \frac{4}{3} = \frac{8}{9} [/tex]
`Sorry if it's wrong
Good luck :)
PLS HELP MEEE ILLL GIVE BRAINLEST
Answer:40
Step-by-step explanation:
Smaller than 60 and 80.
Answer:
B
Step-by-step explanation:
Because I did this test before and I got this right :)
Some one plz i need this
Answer:
-1/2
Step-by-step explanation:
just flip the M
Answer:
-1/2
Step-by-step explanation:
what is the probability of you picking a red apple from a bag of green apples
Answer:
0%
Step-by-step explanation:
0% because there are no red apples in a bag of green apples.
Therefore it is impossible to pick a red apple.
a worker can complete the assembly of 15 chairs in 6 hours. At the rate,how many can the worker complete in a 40-hour work week?
Answer:
ooo
Step-by-step explanation:
oooo
The perimeter of a square is equal to the perimeter of an equilateral triangle. The length of a side of the square is given by x, and the length of a side of the equilateral triangle is given by x + 1. Which equation can be used to find the value of x?
x = 3 (x + 1)
3 x = 4 (x + 1)
4 x = 3 (x + 1)
x = x + 1
Answer:
4x=3(x+1)
Step-by-step explanation:
Find the slope and type the correct code.
Answer:
-5, 9, - 1/3, 3
Step-by-step explanation:
a.) (-5, 28) ; (-4, 23)
(23 - 28) / (-4 - (-5))
-5 / 1
= - 5
b.) (-3, - 27) ; (1, 9)
(9 - (-27)) / (1 - (-3))
(9 + 27) / (1 + 3)
36 / 4
= 9
C.)
(1 - 0) / (0 - 3)
1 /-3
-1/3
D.) (-5, - 7) ; (-4, - 4)
(-4 - (-7)) / (-4 - (-5))
(-4 + 7) / (-4 + 5)
3 / 1
=3
The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below.
On a coordinate plane, a function is shown. The function starts from the bottom of quadrant 3 and goes up through the x-axis at (0, negative 0.25) and then through the y-axis at (0, 2). It then starts to curve down at (0.5, 4) until it reaches (1.75, negative 0.5). It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3.
How many roots of f(x) are rational numbers?
0
1
2
3
Answer:
3
Step-by-step explanation:
f(x) = 4x^3 – 13x^2 + 9x + 2
This looks complicated but all we need to find are the Roots
We are looking for when y=0
So given each part of the information, we can label how many times it happens
The function starts from the bottom of quadrant 3: Starts lower left
and goes up through the x-axis at (0, negative 0.25) : This is ONE ROOT
and then through the y-axis at (0, 2). : It's now on the 2nd quartile
It then starts to curve down at (0.5, 4): It's moving towards y=0
until it reaches (1.75, negative 0.5).: It has now passed y=o and there are TWO ROOTS
It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: It has passed y=0 again, so there are THREE ROOTS
This polynomial function has 3 ROOTS
Answer: D. 3
Step-by-step explanation:
EDGE 2023
pls help me with this question..... if right I will follow u.... and give u brainliest ......pls it's urgent......
Answer:
Step-by-step explanation:
(a) Since values 5 or up go up and 4.9 and under go down, Naomi could have gone 4555 to 4564.9, as 4555 rounds up to 4560 (and is the largest number that does so) and vice versa for 4564.9
Similarly, Peta could have went from 4550 to 4649.9.
(b)
Peta could have walked 4550 and Naomi 4564.9, so this could be true
Peta could have walked 4649.9 and Naomi 4555, so this could be true
Peta could have walked 4555 and Naomi 4555, so this could be true.
All values here are in the ranges of (a)
(a)
155 to 124.9
1.235 to 1.244
0.01235 to 0.01244
Solve the system by the method of your choice. Write your answer as a coordinate point (x, y). -6 + 5y =-27 -3 + 3y = -15
The shape is composed of squares and quarter circles. Select all the expressions that represent its perimeter. (Select all that apply.) 42+14 7+7+7+7+7+7+3.5+3.5+3.5+3.5 91+14 147+49 7+7+7+7+7+7+7+7+7+7
Answer:
91+14π
Step-by-step explanation:
The question is incomplete. Find the complete question attached.
From the diagram shown;
It contains 4 quarter circles which is equal to a circle.
Perimeter of a circle = 2πr
r is the radius = length of one side of the square =7
Perimeter of the circle = 2πr
Perimeter of the circle = 2π(7)
Perimeter of the 4 quarter circles = 14π
Also in the diagram, there are 13 sides of the square present.
Perimeter of the squares = 13×length of one side of the square (Sum of all the sides)
Perimeter of the squares = 13×7 =91
Perimeter of the figure = Perimeter of the 4 quarter circles + Perimeter of the squares
Perimeter of the figure = 91+14π
Answer:
The other guy who answered this is wrong
Step-by-step explanation:
Your welcome
1 pts
Identify the ordered pair (point) and the slope for the point-slope form Y-3 = 7(2 – 4).
[Type in integers only.]
Point:(
I
Slope:
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Every 3 days Ronnie spends 1.5 hours on homework and 2.25 hours on chores. At this rate how many total hours will he spend on homework and chores in 9 days
Answer: 11.25 hours
Step-by-step explanation:
From the question, we are informed that every 3 days Ronnie spends 1.5 hours on homework and 2.25 hours on chores.
At this rate number of hours that he will spend on homework and chores in 9 days will be:
= 9/3 [1.5 hours on homework + 2.25 hours on chores]
= 3 [1.5 hours on homework + 2.25 hours on chores]
= 4.5 hours on homework and 6.75 hours on chores]
Total hours = 4.5 + 6.75 = 11.25 hours
Answer:
11.25
Step-by-step explanation:
