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3 years ago

Which is the completely factored form of 12x^3-60x^2+4x-20

Mathematics

1 answer:

Shkiper50 [21]3 years ago

6 0

Answer:

(12x²+4)(x-5)

Step-by-step explanation:

To factor the expression factor by grouping.

(12x³ - 60x²) + (4x - 20)

12x²(x - 5) 4(x-5)

(12x²+4)(x-5)

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If the distance between opposite numbers on a number line is 10 units, what are the opposite numbers?

Margarita [4]

Answer:

5 and -5

Step-by-step explanation:

Opposite numbers are the same distance from 0 on the number line. So, each of the numbers is a distance from zero that is half the distance between them.

The numbers are 10/2 = 5, and -5.

4 0

4 years ago

The population of a town increases at a rate of 5% every year. The population of this town was 10,400 in 2017. What will the pop

galben [10]

Answer:

The population of the town in 2020 will approx. be 12,039.

Step-by-step explanation:

The initial population in the year 2017 = 10,400

Increase in population every yea r = 5%

Now, 5% of 10, 400 = $\frac{5}{100} \times 10, 400 = 520$

Hence, the population in the year 2018 = 10,400 + 520 = 10,920

Now, in the year 2019

5% of 10, 920 = $\frac{5}{100} \times 10, 920 = 546$

Hence, the population in the year 2019 = 10,920 + 546 = 11,466

Now, in the year 2020

5% of 11,466 = $\frac{5}{100} \times 11,466 = 573.3$

or, the population in the year 2020 = 11,466 + 573.3 = 12,039.3

The population of the town in 2020 will approx. be 12,039.

6 0

3 years ago

Simplify each expression, #1: 4(f+2g) - 4g +f. #2: 5g(9m-2) + 3g

Serjik [45]

Answer:

1) 5f

2) 45gm-7g

Step-by-step explanation:

hope this helped!

7 0

3 years ago

Solve the system using the substitution method 6x - 2y = -4 y= 3x + 2

Anit [1.1K]

Answer:

Step-by-step explanation:

6x - 2y = -4

y= 3x + 2

We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.

6x - 2(3x +2) = -4

Now usually we'd we simply solve for X.

6x - 6x -4 = -4

This clearly does not work as we cannot get rid of X

Therefore, this system of equations has no solution we can find through substitution

3 0

3 years ago

Read 2 more answers

Two pools are being drained. To start, the first pool had 3850 liters of water and the second pool had 4370 liters of water. Wat

SashulF [63]

Answer:

(a)

Amount of water in the first pool (in liters) = 3850 liters - 33 liters per minute * x minutes

Amount of water in the second pool (in liters) = 4370 liters - 43 liters per minute * x minutes

(b)

3850 liters - 33 liters per minute * x minutes= 4370 liters - 43 liters per minute * x minutes

Step-by-step explanation:

(a) With x being the minutes after which you want to calculate the amount of water in the pool, to calculate this amount of water you must subtract the water drained from the initial amount of water that the pool contains.

Knowing that, for example, the water from the first pool drains at a rate of 33 liters per minute, then after x minutes, the total water drained will be 33 liters per minute * x minutes. Then:

Amount of water in the first pool (in liters) = 3850 liters - 33 liters per minute * x minutes

Reasoning in the same way:

Amount of water in the second pool (in liters) = 4370 liters - 43 liters per minute * x minutes

(b) Now want to know when the two pools would have the same amount of water. If they have the same amount of water then you can express:

Amount of water in the first pool = Amount of water in the second pool

Replacing the expressions found in (a):

3850 liters - 33 liters per minute * x minutes= 4370 liters - 43 liters per minute * x minutes

5 0

3 years ago

Which is the completely factored form of 12x^3-60x^2+4x-20​

Which is the completely factored form of 12x^3-60x^2+4x-20