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2 years ago

Find the product. (2m+5)^3

Mathematics

2 answers:

dalvyx [7]2 years ago

7 0

Answer:

8m3+60m2+150m+125

Step-by-step explanation:

(2m+5)*(2m+5)*(2m+5)

=(2m+5)(4m2+20m+25)

=(2m)(4m2)+(2m)(20m)+(2m)(25)+(5)(4m2)+(5)(20m)+(5)(25)

=8m3+40m2+50m+20m2+100m+125

=8m3+60m2+150m+125

Savatey [412]2 years ago

3 0

Answer:

8m+125 because 2^3 is 8 and m just stays the same and 5^3 is 125 so it is 8m+125

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The car travels an average of 40km per litre of fuel, and the cost of fuel is £1.25 per litre. Calculate the cost of the fuel fo

Nuetrik [128]

$31075 \div 40 = 776.875 \\ 776.875 \times 1.25 = 971.09375$
The cost of fuel was £971.09

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3 years ago

A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbohydrates. A quarter pound of lean red meat provi

Tems11 [23]

Answer:

glasses of milk=4

quatar pounds servings of meat =5

two slices of whole grains bread =8

Step-by-step explanation:

Let m= milk

r=meat

b=bread

0.1m+3.4r+2.2b=35 (1)

8.5m+22r+10b=224 (2)

m+20r+12b=200 (3)

Multiply (1) by 85 and (2) by 1

8.5m+289r+187b=2,975 (4)

8.5m+22r+10b=224 (5)

Subtract (5) from (4)

267r+177b=2,751 (6)

Recall,

8.5m+22r+10b=224 (2)

m+20r+12b=200 (3)

Multiply (2) by 1 and (3) by 8.5

8.5m+22r+10b=224 (7)

8.5m+170r+102b=1700 (8)

Subtract (7) from (8)

148r+92b=1,476 (9)

Recall,

267r+177b=2,751 (6) and

148r+92b=1,476 (9)

Multiply (6) by 148 and (9) by 267

26196b=407,148 (10)

24564b=394,092 (11)

Subtract (11) from (10)

1,632b=13,056

Divide both sides by 1,632

b=13,056/1,632

b=8

Substitute the value of b in (9)

148r+92b=1,476 (9)

148r+92(8)=1,476

148r+736=1,476

148r=1,476-736

148r=740

Divide both sides by 148

r=740/148

r= 5

Substitute the value of b and r in (1)

0.1m+3.4r+2.2b=35 (1)

0.1m+3.4(5)+2.2(8)=35

0.1m+17+17.6=35

0.1m+34.6=35

0.1m=35-34.6

0.1m=0.4

Divide both sides by 0.1

m=0.4/0.1

m=4

4 glasses of milk, 5 quatar pounds servings of meat and 8 two slices of whole grains bread will supply the required nutrients.

8 0

3 years ago

PLS HELP WILL GIVE BRAINLIEST

Vanyuwa [196]

Answer:

The correct answer is the last choice. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

Step-by-step explanation:

In the first segment of the trip, the car goes from 0 to 2 hours and the line is moving up. Therefore, it traveled for 2 hours.

In the second segment, the line went straight horizontal for 1 hour. That means the distance didn't change, in other words, it didn't move.

In the last segment, it moved up again for 2 hours.

7 0

3 years ago

Read 2 more answers

Which properties justify the steps taken to solve the system?

Nutka1998 [239]

Answer:

X=-1

Y=1

Step-by-step explanation:

6x-12y

-18

) 6x + 4y

-2

Subtract the two equations

6x - 12y - (6x + 4y) = -18 - (-2)

Determine the sign

6x- 12y - 6x- 4y

=-18 + 2

Simplify

-12y

- Ay

=-18 + 2

Solve the equation

Substitute

6×+4

-2

Solve the equation

6 0

2 years ago

What are the roots of the polynomial equation x cubed minus 5 x + 5 = 2 x squared minus 5?

Dennis_Churaev [7]

Roots of the polynomial $x^3-5x+5=2x^2-5$ are $x=\sqrt{5},x=-\sqrt{5}\,\,and\,\,x=2$

Step-by-step explanation:

We need to find roots of the polynomial equation: $x^3-5x+5=2x^2-5$

Solving the polynomial to find roots:

$x^3-5x+5=2x^2-5\\Rearranging:\\x^3-5x+5-2x^2+5=0\\x^3-2x^2-5x+10=0$

Finding factors by grouping:

$(x^3-2x^2)(-5x+10)=0\\Finding\,\,common\,\,terms:\\x^2(x-2)-5(x-2)=0\\(x^2-5)(x-2)=0\\x^2-5=0\,\,and\,\,x-2=0\\x^2=5\,\,and\,\,x=2\\x=\pm \sqrt{5}\,\,and\,\,x=2$

So, roots of the polynomial $x^3-5x+5=2x^2-5$ are $x=\sqrt{5},x=-\sqrt{5}\,\,and\,\,x=2$

Keywords: Roots of Polynomial

Learn more about Roots of Polynomial at:

#learnwithBrainly

8 0

3 years ago