Answer:
9/30 2021
Step-by-step explanation:
:) yw
Answer:
see explanation
Step-by-step explanation:
note that f ○ g = f(g(x))
To evaluate substitute x = x³ into f(x)
f(g(x)) = f(x³) = 5x³ - 8
In the same way
g ○ f = g(f(x))
To evaluate substitute x = 5x - 8 into g(x)
g(f(x)) = g(5x - 8) = (5x - 8)³
Answer:
A. 9
Step-by-step explanation:
F(-2) = 9
We are given the polynomial function;
F(x) = -2x3 + x2 + 4x-3
In order to determine F(-2) using the remainder theorem, we plug in -2 in place of x in the equation and simplify;
F(-2) = -2(-2)^3 + (-2)^2 + 4(-2) - 3
F(-2) = 9
Answer:
Step-by-step explanation:
<em>7).</em> x + y = 4 ⇒ y = 4 - x -----> xy = - 96
x(4 - x) = - 96 ⇔ x² - 4x - 96 = 0
D = ( - 4)² - 4(1)(- 96) = 400 = (20)²
= (- ( - 4) - 20) ÷ 2(1) = - 8
= ( - ( - 4) + 20) ÷ 2 = 12
Numbers are <em>- 8</em> and <em>12</em>
<em>8).</em> <em><u>It's your turn now. You can do it</u></em>
<em>9).</em> x² - 5x + 3 = 0
0 < < 1
4 < < 5
<em>10).</em> - x² + 3x + 1 = 0
-1 < < 0
3 < < 4
<em>11).</em> x² + 2x - 2 = 0
- 3 < < - 2
0 < < 1
Answer: Step 2
Step-by-step explanation:
The scale factor is defined as image/preimage, so since the image is circle F and the preimage is circle E, k should be equal to (radius of F)/(radius of E), or 1/2, not 2.
