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
The answer is (4x+3y=4 2x-7=7: 5/2 and y=-2) hope it helps and have a good day!
Using translation concepts, the coordinates that will best represent point E′ are given by:
D. (11, 1).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the rule to find the image of a point (x,y) is given by:
(x, y) → (x + 8, y + 5).
Then, the rule to find the image E' of point E(3,-4) is given by:
(3,4 -> (3 + 8, -4 + 5) = (11,1).
Hence option D is correct.
More can be learned about translation concepts at brainly.com/question/4521517
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It will be: D
-3 x -5/2 = 15/2, which is 7 1/2