Answer:
f(x) = x³ + 3x² - 6x - 8
Step-by-step explanation:
given the zeros of a polynomial x = a, x = b, x = c then
(x - a), (x - b), (x - c) are the factors of the polynomial and f(x) is the product of the factors
here x = - 1, x = 2 and x = - 4 are the zeros, hence
(x + 1), (x - 2) and (x + 4) are the factors
f(x) = a(x + 1)(x - 2)(x + 4) ← a is a multiplier
let a = 1, then
f(x) = (x + 1)(x - 2)(x + 4)
= (x² - x - 2)(x + 4)
= x³ - x² - 2x + 4x² - 4x - 8
= x³ + 3x² - 6x - 8
Answer:
133m
Step-by-step explanation:
Rate can be defined as the measure of a quantity with time
Rate the professional cyclist travels =380/20
To know the rate rate, in meters will the cyclist travel in 7 seconds then we equate the rate above as
380/20= x/7
Cross multiply
380×7=20X
2660= 20x
X=133m
Hence, the rate rate, in meters will the cyclist travel in 7 seconds is 133m
It is more expensive to call him back two times for three hours.
2
A whole pizza has 8 slices. 1/4=25%. 25% of 8 is 2.
The correct answer is:
b.) f(n) = 3 • (-2)^(n-1)
Further explanation:
Given sequence is:
3, -6, 12, -24, ...
We have to find the common ratio first.
Common ratio is the ratio between two consecutive terms of a geometric sequence.
It is denoted by r.
So,

General formula for geometric sequence is:

Putting the values of a1 and r

Hence,
The correct answer is:
b.) f(n) = 3 • (-2)^(n-1)
Keywords: Geometric Sequence, Explicit formula
Learn more about geometric sequence at:
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