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pychu [463]
3 years ago
10

Equivalent expression for 7a+21

Mathematics
1 answer:
Mila [183]3 years ago
6 0

Answer:

Step-by-step explanation:

If you factor the expression 7a+21 you can get:

7 × (a+3)

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Which expression is equivalent to (5g^4+5g^3-17g^2+6g)-(3g^4+6g^3-7g^2-12)/g+2
ankoles [38]

Option C:

2 g^{3}-5 g^{2}+6

Solution:

Given expression:

$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}

To find which expression is equal to the given expression.

$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}

Expand the term -\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right):-3 g^{4}-6 g^{3}+7 g^{2}+12

         $=\frac{5 g^{4}+5 g^{3}-17 g^{2}+6 g- 3 g^{4}-6 g^{3}+7 g^{2}+12}{g+2}

Arrange the like terms together.

         $=\frac{5 g^{4}- 3 g^{4}+5 g^{3}-6 g^{3}-17 g^{2}+7 g^{2}+6 g+12}{g+2}

         $=\frac{2 g^{4}- g^{3}-10 g^{2}+6 g+12}{g+2}

Factor the numerator 2 g^{4}-g^{3}-10 g^{2}+6 g+12=(g+2)\left(2 g^{3}-5 g^{2}+6\right)

         $=\frac{(g+2)\left(2 g^{3}-5 g^{2}+6\right)}{g+2}

Cancel the common factor g + 2, we get

         =2 g^{3}-5 g^{2}+6

Hence option C is the correct answer.

8 0
3 years ago
Read 2 more answers
Given a container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.What is the volume of water in liters
elena55 [62]

Answer:

382.3 liters

Step-by-step explanation:

We are told in the question that:

A container that is 4.50 ft. by 7.20 ft. that is filled with water 5.00 inches deep.

This means:

Length = 4.50 ft

Width = 7.20 ft

Depth(Height) = 5.00 inches

We have to convert all of these to centimeters first. Then to liters

1 foot = 30.48 centimetres

1 inch = 2.54 centimetres

Length = 4.50 ft

1 foot = 30.48 centimetres

4.5 ft = 4.5 × 30.48

= 137.16 cm

Width = 7.20 ft

1 foot = 30.48 centimetres

7.20 ft = 7.20 × 30.48 cm

= 219.456cm

Depth(Height) = 5.00 inches

1 inch = 2.54 centimetres

5 inches = x cm

Cross Multiply

= 5 × 2.54 cm

= 12.7 cm

The volume of the water(cm³) = Length × Width × Depth

= (137.16 × 219.456 × 12.7)cm³

382277.428992 cm³

The volume of water in liters

1 cubic centimetre = 0.001 litre

382277.428992 cm³ = x

Cross Multiply

382277.428992 cm³ × 0.001 litre

= 382.2774289920001 liters

Approximately = 382.3 liters

7 0
3 years ago
Solve -5(-5m + 5) = -2m – 4
skad [1K]

Answer:

m=7/9

Step-by-step explanation:

-5(-5m+5)=-2m-4

25m-25=-2m-4      

25m+2m=-4+25

27m=21

÷ 27  ÷ 27     (divide both sides)

m=7/9 or .777 (infinite)

7 0
3 years ago
5 Divided by (1200+700)
solmaris [256]

Answer:

380

Step-by-step explanation:

1200 + 700 = 1900/5 = 380

7 0
3 years ago
The variable Z is directly proportional to X. When X is 10, Z has the value 190.
irina [24]
Since z is proportion to the x
z = a x
190 = a 10
a = 19

when x = 13
z = a x
z = 19 * 13
z = 247
7 0
4 years ago
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