Answer:
D. 80
Step-by-step explanation:
Given:
f(x) = 5x - 4,
g(x) = x² - 1
Required:
(g o f)(-1)
SOLUTION:
(g o f)(-1) = g(f(-1))
Plug in -1 for x into the function, f(x) = 5x - 4:
g(f(-1)) = g(5(-1) - 4)
= g(-5 - 4)
= g(-9)
Plug in -9 for x in the function, g(x) = x² - 1
g(-9) = (-9)² - 1
= 81 - 1
= 80.
Therefore, (g o f)(-1) = g(f(-1)) = 80
D. 80 is the correct answer.
Answer:
AC = 38
Step-by-step explanation:
A mid point divides a line in 2 equal parts. That means that one segment is equal to the other.
6x + 1 = 3x + 10 Subtract 3x from both sides
6x-3x + 1 = 3x -3x + 10 Combine
3x + 1 = 10 Subtract 1 from both sides
3x + 1 -1 = 10 - 1
3x = 9 Divide by 3
3x/3 = 9/3
x = 3
6x + 1 = 6*3 + 1 = 19
3x +10= 3*3 + 10 = 19
Both segments are 19 units long
AC = 19 + 19 = 38
Answer:
yes. I dont remember what its called but input y as 0 to find x and input x as 0 to find y. I think
Option B and D are your answers
So we are dealing with a 30-60-90 triangle obviously. This is one of those triangles that always has the same ratio of their sides which means if you know one side length of a 30-60-90 you know all the sides.
I have attached a diagram of a 30-60-90 triangle below, we can use it to find the different sides
.
1. 2x =AB and x = BC, we know AB=14, since AB is two times as big as BC we know that BC = 7
2. Knowing BC equals 7 we can also say that x=7, since the diagram shows us AC = x times the square root of three we know that AC = 7 times the square root of 3.
3. If AB =16, 16 = 2x, and x=8, plug this into x times the square root of three to get AC, which equals 8 times the square root of three.
4. If AC equals 9 times the square root of three, we know that x=9. Side BC is simply x so BC = 9