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Flauer [41]
3 years ago
10

Factor 4x^3 + 40x^2 + 100x

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

4 x (x + 5)^2

Step-by-step explanation:

Factor the following:

4 x^3 + 40 x^2 + 100 x

Factor 4 x out of 4 x^3 + 40 x^2 + 100 x:

4 x (x^2 + 10 x + 25)

The factors of 25 that sum to 10 are 5 and 5. So, x^2 + 10 x + 25 = (x + 5) (x + 5):

4 x (x + 5) (x + 5)

(x + 5) (x + 5) = (x + 5)^2:

Answer: 4 x (x + 5)^2

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What is 40 /6 in fraction
Serhud [2]
Well I'm assuming that you want me to simplify the fraction 40/6. Since 40 can go into 6 multiple times, this fraction is going to be a mixed number.
40/6 in simplest form is 6 2/3. Hope I helped!
3 0
3 years ago
A circle with a radius of 5 cm has an area of 78.54 cm2. What constant, rounded to the nearest hundredth, do you get when the ar
Naily [24]

Answer:

3.14

Step-by-step explanation:

Area of a corcle is sexpressed as';

A = πr²

π = A/r²

π = 78.54/5²

π = 78.54/25

π = 3.1416

When the area is divided by radius the required constant is 3.14

3 0
3 years ago
Question 1 (1 point)<br> Find the measure of the angle marked 4x
kykrilka [37]

we need the image to solve the problem

8 0
2 years ago
If 4 muffins cost $5.24, how much would 5 muffins cost ?
OLga [1]

Well, if 4 muffins cost $5.24, then we can do 5.24 ÷ 4 = 1.31 to know that one muffin costs 1.31. Now we can do 1.31 x 5 = 6.55 to know 5 muffins cost 6.55.

6 0
3 years ago
Read 2 more answers
Raul bought a soft drink and a sandwich for $9.90. What is the price of each if the sandwich cost 3.5 times as much as the soft
lidiya [134]

Hello!

Before creating equations and solving for the values of the soft drink and sandwich, we need to assign variables. We can assign x to the soft drink and sandwich.

Since the sandwich costs 3.5 times as much as the soda, it is written as 3.5x and the soda is just x. Also, the total cost is 9.90 dollars.

3.5x + x = 9.90 (simplify)

4.5x + 9.90 (divide both sides by 4.5)

x = 2.2 | That is the cost of the soda.

To find the cost of the sandwich, we subtract 2.20 from the total cost.

9.90 - 2.20 = 7.70 | That's the cost of the sandwich.

Therefore, the final answer is B, the sandwich costs $7.70 and the soda costs $2.20.

3 0
2 years ago
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