<span>f(x) = 4x + 3
g(x) = -2x + 5
(f o g) (5) means the function of g when g is a function of 5
(the function of the function concept)
so we need to get g(5) firstly
</span>
<span>g(x) = -2x + 5
g(5)= -2(5) + 5 = -5
After that, f(g(5)) = f(-5) = 4(-5) + 3 = -20 + 3 = -17
I hope that helps
</span>
Answer:
John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
Step-by-step explanation:
Let the number of grams of the 30% solution = x
Let the number of grams of the 60% solution = y
John needs 20 grams of 54% acid solution for his science project.
Hence,
x + y = 20 grams..... Equation 1
x = 20 - y
His school's science lab has bottles of 30% solution and bottles of 60% solution.
30% × x + 60% × y = 54% × 20
0.3x + 0.6y = 10.8......Equation 2
We substitute 20 - y for x in Equation 2
0.3(20 - y) + 0.6y = 10.8
6 - 0.3y + 0.6y = 10.8
- 0.3y + 0.6y = 10.8 - 6
0.3y = 4.8
y = 4.8/3
y = 16 grams
x = 20 - y
x = 20 - 16
x = 4 grams
Therefore, John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
Answer:

Step-by-step Explanation:
Angle of depression is congruent to angle of elevation.
Therefore, angle of elevation of the given figure, which is opposite to x is 25°.
Adjacent length = 11 yd
Opposite length = x
Trigonometric ratio formula for finding x is shown below:


Multiply both sides by 11 to solve for x


(to the nearest tenth)
Answer:
12
Step-by-step explanation:
Area = length * width
length = area ÷ width
Answer:
m= rise/run = y2-y1/x2-x1