Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
35 toes? 5 toes on each foot
35 divided by 5=7
7 feet…?
Answer:
17.) x = 3
18.) x = -5
I couldn't do 19.) and 20.) for you because there are weird symbols that I believe you mistakenly input. But I'm sure you now get the gist of how to solve such problems. Peace <3
Step-by-step explanation:
All you really have to do for all of the problems is substitute your value of "x" for the function.
17.) f(x) = 8x - 7; f(x) =17
17 = 8x -7 ---- substitute 17 for f(x), add 7 on both sides
24 = 8x ------ divide 8 on both sides
x = 3
18.) g(x) = -4x + 7; g(x) = 27
27 = -4x + 7 substitute 27 for g(x), subtract 7 on both sides
20 = -4x
x = -5
On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.
<h3>What is the linear system?</h3>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The linear equation is shown below.
The equation can be written as
For y = 15, the value of x will be.
The value of x is 200.
Thus, option D is correct.
More about the linear system link is given below.
brainly.com/question/20379472
Answer:
A≈12.57cm²
Step-by-step explanation:
A=1
4πd2=1
4·π·42≈12.56637cm²
