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3 years ago

Which of the following is the correct factorization of the trinomial below?

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

5 0

D: Is the correct Answer

sweet-ann [11.9K]3 years ago

4 0

Answer:

-1(7x+12)(x+1)

Step-by-step explanation:

1) Find out which two integer numbers whose product result in -84 and whose sum is -5?

-7x² +5x +12= 0

Product ( )*( )= -84

And Sum ( )+( )= 5

12 * -7 = -84 and 12 +(-7) = 5

2) We now can rewrite the above trinomial as

-7x²+12x-7x-12=0

3) Group them, highlight the MCD and rewrite it as a product.

x(7x+12) -1(7x-12)=0 Maximum Common Divider in evidence

x(7x+12) -1(7x-12)=0 Common Factor in bold multiplied by -1

-1(7x-12)(x+1) The Second term was divided by -1

-1(7x+12)(x+1)=0

4) Test it, to check your work

-1(7x+12)(x+1)

-1[7x²-5x-12]

-7x²+5x+12

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3 years ago

Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three

Triss [41]

Answer:

9, 12

Step-by-step explanation:

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8 0

3 years ago

a sandwich shop has 60 stores and 70 percent of the stores are I California. How many stores are in California and Nevada

Aliun [14]

Answer:

The number of stores in California 42

The number of stores in Nevada 18

Step-by-step explanation:

Given as :

The total sandwich shop in California and Nevada = 60

The percentage of shop in California = 70%

So, The percentage of shop in Nevada = 100% - 70% = 30%

Let The number of stores in California = c

And The number of stores in Nevada = n

Now, According to question

The number of stores in California = 70% of the total number of shops

I.e c = $\frac{70}{100}$ × total number of shops

Or, c = $\frac{70}{100}$ × 60

∴ c = $\frac{70\times 60}{100}$

or, c = $\frac{4200}{100}$

or, c = 42

So, The number of stores in California = c =42

Again

The number of stores in Nevada = 30% of the total number of shops

I.e n = $\frac{30}{100}$ × total number of shops

Or, n = $\frac{30}{100}$ × 60

∴ n = $\frac{30\times 60}{100}$

or, n = $\frac{1800}{100}$

or, n = 18

So, The number of stores in Nevada = n = 18

Hence The number of stores in California 42

And The number of stores in Nevada 18 Answer

8 0

3 years ago

-7(x - 5) = 91 bro I need help and i must show work

fredd [130]

Answer:

X = -8

Step-by-step explanation:

-7(x-5)=91

x-5=-13

x=-13+5

x=-8

5 0

2 years ago

Is 42° correct?? Please help

Romashka [77]

X=40 degrees because it s on the circle. arc AD+arc DC=180 arc DC is 100 so AD is 80. That means x must be 40.

7 0

3 years ago