A function is an equation or graph where each x value only has one y value. In the first image you can use the vertical line test. Take your pencil and lay it on the paper vertically. Move it across the graph. Basically if an x value has multiple y value it is not a function. The first image is not a function because all x values past zero have multiple y values for each x value. In the second image it is not A because in A the x value of 2 has a y value of 1 and 8. It is not B because the 5 has a y value of 3 and 7. It’s is not D because of the 5 again. It is C because all x values are unique.
Hope that helps
Answer:5(5x-1)
Step-by-step explanation: for a product the equation above
25x-5
Since 5 is divisible by 25
25/5=5
5/5=1
5(5x-1)
X + y = 23000
x.08 + y.09 = 2040
x = 23000 - y
(23000 - y) .08 + y.09 = 2040
1840 - .08y + .09y = 2040
Simplify
.01y = 200
Simplify
Y = 20000
X + 20000 = 23000
X = 3000
CHECK: .08x + .09(20000) = 2040
.08x + 1800 = 2040
Simply .08x = 240
X = 3000
Answer:
Step-by-step explanation:
(f*g)(x) = (-5x² + 2x + 7) (x +1)
= x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)
= x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7
= -5x³ + 2x² + 7x - 5x² + 2x + 7
= - 5x³ + <u>2x² -5x²</u> <u>+ 7x + 2x </u>+7 {Combine like terms}
= -5x³ - 3x² + 9x + 7
4) (f*g)(x) = (x² + 2x + 4)(x - 2)
= x*(x² + 2x + 4) - 2*(x² + 2x + 4)
= x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4
= x³ + 2x² + 4x -2x² -4x - 8
= x³ - 8


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