Answer: f(x)= 2x -3
Step-by-step explanation:
Using the given information we can come up with two points that will be use to find the slope and y-intercept.
If you input 0 you get -3 so the point will be (0,-3)
If you input 7 you get 11 so the point will be (7,11)
Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.
y coordinates: -3 - 11 = -14
x coordinates: 0 - 7 = -7
-14/-7 = 2
Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.
Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.
-3= 2(0) +b
-3 = 0 + b
b = -3
f(x) is the same as y in the formula, meaning that the equation will be
f(x) = 2x -3
Remember that the area of a rectangle is the length of the rectangle multiplied by the width of the rectangle.
In this case, we could say (where 
is the area of the rectangle):
Substituting the values the problem gave us for 
and 
, we can find the formula for 
in terms of 
, which is:
The formula for the area of the rectangle would be A(x) = 10x³ - 20x² + 65x.
Answer:
The answer to your question is the second option 
Step-by-step explanation:
Expression
![[\frac{(x^{2}y^{3})^{-2}}{(x^{6}y^{3}z)^{2}}]^{3}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28x%5E%7B2%7Dy%5E%7B3%7D%29%5E%7B-2%7D%7D%7B%28x%5E%7B6%7Dy%5E%7B3%7Dz%29%5E%7B2%7D%7D%5D%5E%7B3%7D)
Process
1.- Divide the fraction in numerator and denominator
a) Numerator
[(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸
b) Denominator
[(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶
2.- Simplify like terms
a) x⁻¹²x⁻³⁶ = x⁻⁴⁸
b) y⁻¹⁸y⁻¹⁸= y⁻³⁶
c) z⁻⁶
3.- Write the fraction
Answer:
You distribute then combine
your answer is <u><em>-52u+16</em></u>
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Assuming that you mean that Simon is scaling Logan's build, the scale factor is 1.5.
To find this, you divide Simon's fort height by Logans.
7.5/5 = 1.5.
