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crimeas [40]
3 years ago
12

Re-write the quadratic function below in Standard Form y = -9(x + 1)(x – 7)

Mathematics
2 answers:
koban [17]3 years ago
6 0

Answer:

y=-9x²+54x+63

Step-by-step explanation:

y=-9(x²-7x+x-7)

y= -9(x²-6x-7)

y=-9x²+54x+63

scZoUnD [109]3 years ago
3 0
Y=-9(x^2-7x+x-7)
y=-9(x^2-6x-7)
y=-9x^2+6x+63
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Answer:

a= \frac{k}{9b+4}

Step-by-step explanation:

In this question, you would solve for "a".

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K = 4a + 9ab

Since we have our "a" on the same side, we can factor it out from the variables:

K = a(9b + 4)

To get "a" by itself, we would have to divide both sides by 9b + 4:

K/9b+ 4 = a

Your answer would be K/9b+ 4 = a

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3 years ago
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Which value is a solution of the equation 8y=56?
Korvikt [17]

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7

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3 0
3 years ago
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

7 0
3 years ago
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