You just need to solve for x in the equation:
–0.01x^2 + 0.32x + 4 = <span>–0.01x^2 + 0.18x + 5
0.18x=1
x= 5.55
h(5.55) = -0.01*30.86+0.18*5.55+5 = -0.3086+1+5=5.6914
The intersection point is (5.55, 5.69).
I hope that this is the answer that you were looking for and it has helped you.
</span>
Answer:
The value of g[f(2)] = 13
Step-by-step explanation:
Given functions:
f(x) = x²
g(x) = 3x + 1
Find:
The value of g[f(2)]
Computation:
f(x) = x²
By putting x = 2 in f(x)
f(x) = x²
f(2) = 2²
f(2) = 2 × 2
f(2) = 4
So the value of f(2) = 4
Value of f(2) putting in g(x)
g(x) = 3x + 1
g(x) = 3x + 1
g[f(2)] = 3[f(2)] + 1
We know that f(2) = 4
So,
g[f(2)] = 3[f(2)] + 1
g[f(2)] = 3[4] + 1
g[f(2)] = 12 + 1
g[f(2)] = 13
The value of g[f(2)] = 13
Answer:
2.30
Step-by-step explanation:
The side of interest is opposite the given angle, and the hypotenuse is given. The sine relation tells you ...
sin(A) = a/c
a = c·sin(A) = 3·sin(50°)
a = BC ≈ 2.2981 ≈ 2.30
When increasing a percentage I usually just turn the percentage to a decimal. So, let's say you have 100 gallons of gas and it'll get an increase by 20%, just multiply 100 by .20 and you'll get 20, then add 20 to 100 to see what you'll have after. In this case, 15% would be .15, just multiply 22 by .15 to see how much the increase is, then add what you get to 22.
