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3 years ago

G(x)=27x^3+125

Mathematics

1 answer:

Darya [45]3 years ago

8 0

Answer:

The answer to your question is: (3x + 5)(9x² - 15x + 25)

Step-by-step explanation:

Data

G(x) = 27x³ + 125

This is a sum of cubes

Process

$\sqrt[3]{27} = 3$

$\sqrt[3]{125} = 5$

27x³ + 125 = (3x)³ + (5)³ = (3x + 5)(9x² - 15x + 25)

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The width of a rectangle is 6n - 2.5 feet and the length is 2.5 + 8 feet. Find the perimeter of the rectangle.

ludmilkaskok [199]

I was thinking the measurement for ;length should be 2.5n + 8 feet since width is 6n -2.5 feet , but you gave 2.5+ 8 feet, so i will solve it in both ways

Answer: Perimeter = 5 + 12n + 11 feet ; Perimeter = 17n+ 11 feet

Step-by-step explanation:

Using Length = 2.5+ 8 feet,

Perimeter of a rectangle is calculated as 2( l+ b)

Given that width=6n - 2.5 feet

length =2.5 + 8 feet

Perimeter =2( l+ b)= 2L + 2B

Perimeter= 2(2.5 + 8feet ) + 2( 6n - 2.5 feet)

Perimeter = 5 + 16feet + 12n - 5feet

Perimeter = 5 + 12n + 11 feet

Using Length = 2.5n+ 8 feet,

Perimeter of a rectangle is calculated as 2( l+ b)

Given that width=6n - 2.5 feet

length =2.5n+ 8 feet

Perimeter =2( l+ b)= 2L + 2B

Perimeter= 2(2.5n + 8feet ) + 2( 6n - 2.5 feet)

Perimeter = 5n + 16feet + 12n - 5feet

Perimeter = 5n + 12n + 11 feet

Perimeter = 17n+ 11 feet

6 0

2 years ago

If two zeroes of the polynomial x4-6x3-26x2+138x-35 are x+3 and x-3. Find the other zeroes

ASHA 777 [7]

Answ

Step-by-step explanation:

5 0

2 years ago

Una ciudad tenía 8000 habitantes a final del año 2000. Cada año su población se incrementa en un 0.5 %

Digiron [165]

Answer:

The correct answer is 2030.

Step-by-step explanation:

To start we must analyze the information we have.

We know that a city has 8000 inhabitants and that each year this number increases by 0.5%. That means that <u>each year it has 40 more inhabitants</u>:

(8000 . 0,5) : 100 = 40

Having this information we could do a cross multiplication:

1 year ------- 40 inhabitants

x years ------- 81200

81200 = 40.x

x = 81200 : 40

x = 2030

In this way we can verify that the correct answer is 2030.

4 0

3 years ago

You want to buy an MP3 player. Your Aunt paid you $20 to mow her lawn and you earn $5 each week

natka813 [3]

Answer:

1. y = 5x + 20

2. $20 the amount you saved mowing your aunt's lawn.

3. 21 weeks

Step-by-step explanation:

1. 5 is the slope because it is the rate. 20 is the y-intercept because that is how much you already have.

2. 20 because that is how much you already have.

3. Since you already have $20, you need to subtract 125 by 20 to get 105. Then you divide 105 by 5 to get 21 weeks.

6 0

2 years ago

Read 2 more answers

one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units. are these two figures scaled versio

Amanda [17]

Answer: The both triangle are not scale version to each other.

Explanation:

It is given that the one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units.

The two shapes are scaled version of each other if their corresponding sides are in same proportion. In other words the if two shapes scaled version of each then the shapes are similar.

The sides or first rectangle are 2 and 7. The measures of second rectangle are 11 and 37.

The proportion of small side is,

$\frac{2}{11}$

The proportion of large side is,

$\frac{7}{37}$

So,

$\frac{2}{11}\neq \frac{7}{37}$

Since the proportion are not equal, therefore both triangle are not scale version to each other.

6 0

3 years ago