For the functions f(x) = 4x + 7 and g(x) = -9x + 11, find f(g(0)). For the functions f(x) = 3x2 - 7 and g(x) = -3x2 + 4, find f(g(2)). (Do NOT put commas in large numbers.)
Answer:
The correct answer is B.12.2
Step-by-step explanation:
Answer:
x=1/5
Step-by-step explanation:
To solve this question we will have to open the bracket first
So let's go back to the given question
-2(5x-1)+7(5x-1)-3(-5x+1)
We can actually equate the equation to zero
Let's solve
-10x+2+35x-7+15x-3=0
Let's collect like terms
-10x+35x+15x=-2+7+3
40x=8
Let's make x the subject of formula by dividing both sides by 40
x=1/5
So the final answer is 1/5
Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
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The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
