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3 years ago

Tamir wants to build a square wooden stage. His original pin for a stage x

Mathematics

1 answer:

shepuryov [24]3 years ago

6 0

Answer:

b .

Area=(x-5) (x-3)

Area = x^2 -8x+15

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle = width x length

The original length and width was x, so if the stage needs to be 5 feet narrower and 3 feet shorter.

x-5

The formula is:

A=(x-5) (x-3)

Solving:

A = (x.x) + (x.-3) + (-5.x)+ (-5.-3)

A = x^2 -3x -5x+15

A = x^2 -8x+15

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Factor completely 4x2 − 8x − 60. (4x − 20)(x + 3) 4(x − 5)(x + 3) (4x − 4)(x + 15) 4(x − 1)(x + 15)

katovenus [111]

after complete factorization of $4x^2-8x-60$ the answer is $4(x+3)(x-5)$

Step-by-step explanation:

We need to factor $4x^2-8x-60$

Taking 4 common and factorizing:

$=4(x^2-2x-15)\\=4(x^2+3x-5x-15)\\=4(x(x+3)-5(x+3))\\=4(x+3)(x-5)$

So, after complete factorization of $4x^2-8x-60$ the answer is $4(x+3)(x-5)$

Keywords: factorization, factors

Learn more about factors at:

#learnwithBrainly

3 0

3 years ago

A recipe for 24 cookies calls for 6 tablespoons of sugar. Which of the amounts below would be a correct ratio of cookies to suga

Y_Kistochka [10]

Answer:

1:4

Step-by-step explanation:

0.25 tablespoons of sugar will be used per cookie

6 0

3 years ago

Read 2 more answers

What is 620,000 nearest 10 thousand

FinnZ [79.3K]

Here first we have to understand which place is 10 thousand.

6- hundred thousand

2- ten thousand

0- thousand

0- hundred

0- ten

0- one

so as we can see 2 is in ten thousands place.

Now rounding ten thousands place is done by looking up to thousands place.

If the digit at thousands place is 5 or greater than 5 then we change our ten thousands value to one digit higher else it remains same.

Here we have 0 at thousands place , which is less than 5 , so we keep the number as it is.

Answer: 620, 000

5 0

3 years ago

Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best

Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817

3 0

3 years ago

What is the ratio Between 113 and165

Harlamova29_29 [7]

A ratio between is like 52

5 0

3 years ago