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Yuki888 [10]
3 years ago
5

Which shows one way to determine the factors of x^3 – 12x^2 – 2x + 24 by grouping?

Mathematics
2 answers:
bixtya [17]3 years ago
7 0

The answer is D on e2020.

x^2(x-12)-2(x-12)

Have a great day

krek1111 [17]3 years ago
4 0
x^3-12x^2-2x+24=x^2\cdot x-x^2\cdot12-2\cdot x-2\cdot(-12)\\\\=\underline{x^2(x-12)-2(x-12)}=(x-12)(x^2-2)\\\\Answer:\boxed{d}
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You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you receiv
pishuonlain [190]

Answer: $7800 was invested at 9%

$5900 was invested at 3%

Step-by-step explanation:

Let x represent the amount invested in the fund that paid a dividend of 9%.

Let y represent the amount invested in the fund that paid a dividend of 3%.

Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that

0.09x + 0.03y = 879- - - - - - - - - 1

This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that

0.1x + 0.01y = 839 - - - - - - - - - -2

Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes

0.009x + 0.003y = 87.9

0.009x + 0.0009y = 75.51

Subtracting, it becomes

0.0021y = 12.39

y = 12.39/0.0021

y = 5900

Substituting y = 5900 into equation 1, it becomes

0.09x + 0.03 × 5900 = 879

0.09x + 177 = 879

0.09x = 879 - 177

0.09x = 702

x = 702/0.09

x = 7800

4 0
3 years ago
Is .4 kilometers equal to 40,000 centimeters
DiKsa [7]
Yes and thank you for being so active on Brainly
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3 years ago
yLab and Mastering3.3.43Question HelpIn triangle ABC, the measure of angle Bis 15 more than three times the measure of angle A.
lora16 [44]

∠A = 24°

∠B = 87°

∠A = 24°

Explanation:

The sum of angles in a triangle is 180 degrees

let measure of angle A = ∠A

∠B = 15 more than three times the measure of angle A

∠B = 15 + 3∠A

∠C = 45° more than the measure of angle A

∠C = 45° + ∠A

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

∠A + 15 + 3∠A + 45° + ∠A = 180

collect like terms:

∠A + 3∠A + ∠A + 15 + 45 = 180

5∠A + 60 = 180

5∠A = 180 -60

5∠A = 120

∠A = 120/5

∠A = 24°

∠B = 15 + 3∠A = 15 + 3(24)

∠B = 87°

∠C = 45° + ∠A = 45° + 24°

∠C = 69°

8 0
1 year ago
What is the solution set of |-x|=-10?
Airida [17]
There is no solution. Because the absolute value function finds the distance between the number and 0. And length is never negative.

So, |-x| = -10 has no solution.
5 0
3 years ago
Diego is measuring sugar to bake cookies. He needs3\4 cups and he has 1/4 now.how much more does he need explain how you know
Verdich [7]
He needs 1/2 cup because 3/4-1/4=2/4 which is simplified to 1/2
8 0
3 years ago
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