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ICE Princess25 [194]
3 years ago
6

What are two different ways of factoring –3x – 9? Select all that apply. A. –3(x + 3) B. 3(x + 3) C. 3(–x – 3) D. –3(x – 3)

Mathematics
1 answer:
Shalnov [3]3 years ago
3 0
A. and C. Are both correct
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Please help fast!!!!!!!
aivan3 [116]

Answer:

A

Step-by-step explanation:

because 1/9^2 is also 9^-2 because when it is a negative exponent it turns into a fraction. it does this because it is negative and the negative is equal to the number of one with the exponent positive

8 0
3 years ago
A soup can in the shape of a right circular cylinder is to be made from two materials. The material for the side of the can cost
Advocard [28]

Answer:

Radius = 1.12 inches and Height = 4.06 inches

Step-by-step explanation:

A soup can is in the shape of a right circular cylinder.

Let the radius of the can is 'r' and height of the can is 'h'.

It has been given that the can is made up of two materials.

Material used for side of the can costs $0.015 and material used for the lids costs $0.027.

Surface area of the can is represented by

S = 2πr² + 2πrh ( surface area of the lids + surface are of the curved surface)

Now the function that represents the cost to construct the can will be

C = 2πr²(0.027) + 2πrh(0.015)

C = 0.054πr² + 0.03πrh ---------(1)

Volume of the can = Volume of a cylinder = πr²h

16 = πr²h

h=\frac{16}{\pi r^{2}} -------(2)

Now we place the value of h in the equation (1) from equation (2)

C=0.054\pi r^{2}+0.03\pi r(\frac{16}{\pi r^{2}})

C=0.054\pi r^{2}+0.03(\frac{16}{r})

C=0.054\pi r^{2}+(\frac{0.48}{r})

Now we will take the derivative of the cost C with respect to r to get the value of r to get the value to construct the can.

C'=0.108\pi r-(\frac{0.48}{r^{2} })

Now for C' = 0

0.108\pi r-(\frac{0.48}{r^{2} })=0

0.108\pi r=(\frac{0.48}{r^{2} })

r^{3}=\frac{0.48}{0.108\pi }

r³ = 1.415

r = 1.12 inch

and h = \frac{16}{\pi (1.12)^{2}}

h = 4.06 inches

Let's check the whether the cost is minimum or maximum.

We take the second derivative of the function.

C"=0.108+\frac{0.48}{r^{3}} which is positive which represents that for r = 1.12 inch cost to construct the can will be minimum.

Therefore, to minimize the cost of the can dimensions of the can should be

Radius = 1.12 inches and Height = 4.06 inches

5 0
3 years ago
Select the term that best describes the statement.
Ipatiy [6.2K]
The statement is a conditional statement.
5 0
2 years ago
What is 5/16 x 246/1000
rosijanka [135]
Fraction form 41/400
decimal form .1025
8 0
2 years ago
7m -- 4 for m = 8<br> Evaluate the following algebraic expression
arsen [322]
I don’t understand the question
If you mean
7m-4
M=8, this is the solution
7(8)-4
56-4
=52
But if you mean
7m- - 4
As in - + - = +
Then this is your answer
7(8)+4
56+4
=60
7 0
2 years ago
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