Answer:
The total amount of floor space in the building is
Step-by-step explanation:
we know that
A building has 217 floors. Each floor has 505 square feet of floor space
so
To find out the total amount of floor space in the building, multiply the area of one floor by the number of floors of the building
Let
x ------> area of one floor of the building in square feet
y -----> number of floors of the building
z -----> the total amount of floor space in the building in square feet
we have
substitute
Step-by-step explanation:
Did you mean
h(x) = x² + 11
g(x) = √(x - 2)
= (hog)(x)
= h( g(x) )
= (√(x - 2) )² + 11
= x - 2 + 11
= x + 9
(hog)(x) = x + 9
Answer:
Its A i just took the test
Step-by-step explanation:
Answer:
(-2 -2sqrt(2/3),0)
(-2 +2sqrt(2/3),0)
Step-by-step explanation:
The vertex form of a parabola is
y= a(x-h)^2 +k
where (h,k) is the vertex
y = a(x--2)^2 -8
y = a(x+2)^2 -8
We can substitute the other point in to find a
4 = a(0+2)^2 -8
4 = a(2)^2 -8
4 = 4a-8
Add 8 to each side
4+8 = 4a-8+8
12 = 4a
Divide by 4
12/4 =4a/4
a=3
y = 3(x+2)^2 -8
To find the x intercepts, set y =0 and solve for x
0 = 3(x+2)^2 -8
Add 8 to each side
8 =3(x+2)^2 -8+8
8 =3(x+2)^2
Divide by 3
8/3 =3/3(x+2)^2
Take the square root of each side
±sqrt(8/3) = sqrt((x+2)^2)
±sqrt(8/3) = (x+2)
We know that sqrt(ab) = sqrt(a)sqrt(b)
±sqrt(4) sqrt(2/3) = (x+2)
±2 sqrt(2/3) = (x+2)
Subtract 2 from each side
-2 ±2sqrt(2/3) = (x+2)-2
-2 ±2sqrt(2/3) = x
(-2 -2sqrt(2/3),0)
(-2 +2sqrt(2/3),0)