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2 years ago

12

Please I need Help!!! Solve this equation by factoring by grouping x^2-4x=12. All work must be shown and no other method will be

accepted.

1 answer:

gtnhenbr [62]2 years ago

6 0

x² - 4x = 12

x² - 4x - 12 = 0

x² + (2x - 6x) - 12 = 0

x² + 2x - 6x - 12 = 0

x (x + 2) - 6 (x + 2) = 0

(x - 6) (x + 2) = 0

Then the solutions are x = 6 or x = -2.

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A classroom has ten students. Three students are freshman, two are sophomores, and five are juniors. Three students are randomly

ycow [4]

Answer:

0.25

Step-by-step explanation:

We have a total of ten student, and three students are randomly selected (without replacement) to participate in a survey. So, the total number of subsets of size 3 is given by 10C3=120.

On the other hand A=Exactly 1 of the three selected is a freshman. We have that three students are freshman in the classroom, we can form 3C1 different subsets of size 1 with the three freshman; besides B=Exactly 2 of the three selected are juniors, and five are juniors in the classroom. We can form 5C2 different subsets of size 2 with the five juniors. By the multiplication rule the number of different subsets of size 3 with exactly 1 freshman and 2 juniors is given by

(3C1)(5C2)=(3)(10)=30 and

Pr(A∩B)=30/120=0.25

3 0

3 years ago

What process do you use to find the percent change of a quantity?

Sever21 [200]

<span><u><em>First, we need to get the amount of change:</em></u>
The amount of change can either be an increase or a decrease.
It can be calculated as follows:
amount of change = </span> $\frac{"new"value - "old"value}{"old" value}$
<span>
If the amount of change is positive, then it is an increase
If the amount of change is negative, then it is a decrease

<u><em>Then, we need to convert this amount into a percentage:</em></u>
Changing the amount into a percentage can simply be done by multiplying this amount by 100
This means that:
% of change = amount of change * 100

<u><em>Combining the two steps:</em></u>
% of change = </span> $\frac{"new"value - "old"value}{"old" value}$ <span> * 100

<u>Examples:</u>
The original price of a certain product was $10. It then became $12. Find the % of increase.
% of change = </span> $\frac{12-10}{10} * 100$ <span> = 20%
This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.
% of decrease = </span> $\frac{20-25}{25} * 100$ <span> = -20%
This means that the temperature decreased by 20%

Hope this helps :)</span>

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2 years ago

Read 2 more answers

INCREDIBLY URGENT!!

Gemiola [76]

Answer:

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\frac{cos ( \alpha - \beta )}{cos \alpha cos \beta } = \frac{cos \alpha cos \beta + sin \alpha sin \beta }{cos \alpha cos \beta } = 1 + tan α · tan β

Step-by-step explanation:

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Answer:

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Tcecarenko [31]

Answer:

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Step-by-step explanation:

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