Answer:
15
Step-by-step explanation:

Solution:
<u>Note that:</u>
- Given angles: w + 8° and 48°
- w + 8 + 48 = 180
<u>Solve for w in the equation "w + 8 + 48 = 180".</u>
- => w + 8 + 48 = 180
- => 56 + w = 180
- => w = 180 - 56
- => w = 124°
The value of w is 124.
Answer:
f(g(x)) = 2(x^2 + 2x)^2
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Step-by-step explanation:
Given;
f(x) = 2x^2
g(x) = x^2 + 2x
To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).
f(g(x)) = 2(g(x))^2
f(g(x)) = 2(x^2 + 2x)^2
Expanding the equation;
f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)
f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)
f(g(x)) = 2(x^4 + 4x^3 + 4x^2)
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Hope this helps...
Start by writing what is said:
2x + 4 = -6
From there just solve for x:
Subtract 4 from both sides
2x + 4 - 4 = -6 - 4
2x = -10
Divide by 2 to get x by itself
2x/2 = -10/2
x = -5
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete, because the function for the profit is not given but I can show you how to calculate this.
Since Mr. Wilson has a bakery and a juice bar, his total profit earned in t months would be the sum of profit from the bakery with the profit from the juice bar within t months.
Let us assume that the profit from the bakery in t months is given by:
B(t) = 2t³
while the profit from the juice bar in t months is given by:
J(t) = 
Therefore the total profit is given by:
P(t) = B(t) - J(t) = 