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3 years ago

What is the completely factored form of 8 x square minus 50

1 answer:

8 0

Lets factor first to see if we can make the problem simple
2(4x^2-25)
now we see that in parenthesis we have 2 square numbers
4x^2=(2x)^2
25=(5)^2
our expression is now
2(2x+5)(2x-5)

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PLEASE HELP ASAP: <br> What is the exact volume of the cone?

qwelly [4]

Answer:

Step-by-step explanation:

second option 400/3

6 0

2 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

a bag of peaches has 3 more than 2 times the number of bananas in a bag of bananas. if there are 17 peaches in a bag, how many b

Harlamova29_29 [7]

this can be turned into an equation to be solved more easily. so the amount of bananas can be x. there are 17 peaches. So the equation would be:

(17 - 3) ÷ 2 = x

you begin with what's inside the parenthesis

17 - 3 = 14.

14 ÷2 = 7

x = 7

there are 7 bananas in the bag of bananas

7 0

3 years ago

4 people share a gallon of tea they each get 1/8 of the gallon how much do each of them get?

77julia77 [94]

Answer:

2/8

Step-by-step explanation:

2/8 x 4 is 8. That means each person gets 2/8 of the gallon.

4 0

2 years ago

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hou

blagie [28]

Formula: Distance = rate * time

570 = (R+(R-18))*3

570 = (2R - 18)*3

190 = 2R-16

208 = 2R

R = 104

Eastbound Train: 86mph

Westbound Train: 104mph

3 0

2 years ago