The answer to this question is 7
Direct variation is y=kx, inverse variation is y=k/x....
-5y=-2x divide both sides by -5
y=2.5x
So this is a direct variation with a constant of 2.5
The exponential function that describes the graph is 
The standard form of an exponential function is expressed as 
a is the y-intercept
(x, y) is the point on the graph
Given the following expression
a = 7
(x, y) = (4, 112)
Substitute the given values into the exponential equation
![y = ab^x\\112=7\cdot b^4\\b^4 = \frac{112}{7}\\b^4= 16\\b =\sqrt[4]{16}\\b = 2](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex%5C%5C112%3D7%5Ccdot%20b%5E4%5C%5Cb%5E4%20%3D%20%5Cfrac%7B112%7D%7B7%7D%5C%5Cb%5E4%3D%2016%5C%5Cb%20%3D%5Csqrt%5B4%5D%7B16%7D%5C%5Cb%20%3D%202)
Get the required exponential equation
Recall that
, hence the required equation will be 
Learn more here: brainly.com/question/19245707
The equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3
<h3>How to determine the equivalent expression?</h3>
The expression is given as:
x^3 (x^2 + 5x + 7)
Expand the expression
x^3 * x^2 + x^3 * 5x + x^3 * 7
Evaluate the product
x^5 + 5x^4 + 7x^3
Expand the expression
x^5 + 4x^4 + x^4 + 8x^3 - x^3
Hence, the equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3
Read more about equivalent expression at:
brainly.com/question/27911936
#SPJ1