Bunny Hill Ski
10x+35
Diamond Ski
5x+40
To find when both resorts cost the same prices set them equal to each other
10x+35= 5x+40
Minus 35 over
10x = 5x +5
Minus 5x over
5x = 5
X= 1
When x= 1 both of the resorts will cost the same price. You can check by substitute x with 1. Hope this helps!
Answer:
51.
Step-by-step explanation:
f(x) = x^2 + 2x + 3 and g(x) = x + 4.
f(g(x)) = (x + 4)^2 + 2(x + 4) + 3
= x^2 + 4x + 4x + 16 + 2x + 8 + 3
= x^2 + 8x + 16 + 2x + 11
= x^2 + 10x + 27.
x = 2.
f(g(2)) = 2^2 + 10 * 2 + 27
= 4 + 20 + 27
= 31 + 20
= 51.
Hope this helps!
1/4^-2 can also be written as 4^2 = 16
Answer:
first is a) option and second is b) option
Answer:
x = (-9)
Step-by-step explanation:
From the diagram, we see that the triangle is an isosceles triangle. Since it is an isosceles triangle we know that the angles at the base of an isosceles triangle are equal to each other, so the angles that is not marked will be equal to m∠2. Since now we know that, we can make the following equation...
m∠2 + m∠2 + 84 = 180
Now we solve it and get...
2(m∠2) = 180 - 84
2(m∠2) = 96
m∠2 = 48
Now we substitute m∠2 with x + 57, and get...
m∠2 = 48
x + 57 = 48
x = 48 - 57
x = (-9)
