Answer:
f(g(x)) = 10x + 7
Step-by-step explanation:
(f . g)(x) = f(g(x)) is the composition of the functions f(x) and g(x).
f(g(x)) means that g(x) becomes the input for f.
Now, f(x) = 2x - 3 and g(x) = 5x + 5.
f(g(x)) = f(5x + 5)
= 2((5x + 5) - 3)
= 10x + 10 - 3
= 10x + 7
f(g(x)) = 10x + 7 is the required answer.
Answer:
After 5 hours the two would charge the same amount of money.
Step-by-step explanation:
Designer A: $450 + ($105/hr)x, where x is the number of hours worked;
Designer B: $725 + ($50/hr)x
Equating these two formulas, we get:
$450 + ($105/hr)x = $725 + ($50/hr)x
Subtracting $450 from both sides: ($55/hr)x = $275
Dividing both sides by $55 yields the number of hours worked:
x = $275/$55 = 5
After 5 hours the two would charge the same amount of money.
Hidden right triangle
28 feet tall (1 leg)
the piece that fell over is the hypotonuse
last leg is what we need to find
81-28=53
a²+b²=c²
a and b are legs and c is the hypotonuse
given
on leg is 28 and the hypotonuse is 53
th othe leg is b
28²+b²=53²
784+b²=2809
minus 784 from both sides
b²=2025
sqrt both sides
b=45
answer is 45ft
