Answer:
D
Step-by-step explanation:
When a polynomial f(x) is divided by (x - a) then remainder is f(a)
A
divided by (x + 4 ), then a = - 4
- 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20
B
divided by (x - 2), then a = 2
3(2)³ + 7(2)² + 5(2) + 2
= 3(8) + 7(4) + 10 + 2
= 24 + 28 + 12 = = 64 ≠ 20
C
divided by (x + 5) , then a = - 5
(- 5)³ + 5(- 5)² - 4(- 5) + 6
= - 125 + 125 + 20 + 6 = 26 ≠ 20
D
divided by (x - 2), then a = 2
3
- 5(2)³ + 5(2) + 2
= 3(16) - 5(8) + 10 + 2
= 48 - 40 + 12 = 20 ← Remainder of 20
Answer:
y= -1/2x + 3
Step-by-step explanation:
A line perpendicular will have the reciprocal slope.
First you need to find the slope of the line given.
m= rise/ run
m= -2
Now flip for the reciprocal.
The perpendicular line will have a slope of -1/2
Answer: 1
Step-by-step explanation:
Answer:
Not a function.
Does not pass vertical line test.
B.
Step-by-step explanation:
Something called a vertical line test is used to determine if a relation that has been graphed is a function or not.
We say if it passes then it is a function.
It will pass if you are able to draw infinitely many vertical lines covering the whole graph and each vertical line either touches your relation once or none.
If a single vertical line that you draw touches more than once, then it isn't a function.
When I say draw, I don't mean you should physically do it, but more so imagine it.
Now this particular relation is not a function because I can find a vertical line that touches more than once. Take the vertical line x=5 for example.
It will touch at (5,-6) and (5,6). You cannot have an x assigned to more than one y.
