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Answer: Choice D. (3p, 3p+4) </h3>
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Work Shown:
f(x) = x+4
y = x+4 ..... since y = f(x)
y = 3p+4 .... replace x with 3p, because x = 3p
(x,y) = (3p, y) .... replace x with 3p
(x,y) = (3p, 3p+4) ... replace y with 3p+4
Answer:
-4
Step-by-step explanation:
x³ + cx + 4 divided by x + 2 has a remainder of 4, so:
(x³ + cx + 4) / (x + 2) = ax² + bx + d + 4 / (x + 2)
Multiply both sides by x + 2:
x³ + cx + 4 = (ax² + bx + d) (x + 2) + 4
Distribute:
x³ + cx + 4 = ax²(x + 2) + bx(x + 2) + d(x + 2) + 4
x³ + cx + 4 = ax³ + 2ax² + bx² + 2bx + dx + 2d + 4
x³ + cx + 4 = ax³ + (2a + b)x² + (2b + d)x + 2d + 4
Match the coefficients.
a = 1
2a + b = 0
2b + d = c
2d + 4 = 4
Solving, a = 1, b = -2, and d = 0. So c = -4.
We can also solve this using long division (see picture).
Answer:
I think the correct answer would be y =x^3+2x^5-4
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
42-16=26 because Pi is a number - approximately 3.142. It is the circumference of any circle divided by its diameter. The number Pi, denoted by the Greek letter π - pronounced 'pie', is one of the most common constants in all of mathematics. It is the circumference of any circle, divided by its diameter.
The required composite value f(g(-8) is 28
A composite function is a function inside another function. Given the following functions
f(x) = x² - 3x - 12
g(x) = -x - 12
Required composite function is f(g(-8))
First we need to get f(g(x))
f(g(x)) = f(-x-12)
f(-x-12) = (-x-12)² - 3x - 12
Expand
f(-x-12) = x² +24x + 144 - 3x - 12
f(-x-12) = x² +21x + 132
f(g(x)) = x² +21x + 132
Substitute x = -8 into the result
f(g(-8)) = (-8)² +21(-8) + 132
f(g(-8)) = 64 - 168 + 132
f(g(-8)) = 28
Hence the required composite value f(g(-8) is 28
Learn more here : brainly.com/question/3256461