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Allushta [10]
3 years ago
12

Which expression is equivalent to 2(x^2-1) + 3x(x-4) (please show work)

Mathematics
1 answer:
Tema [17]3 years ago
4 0

Answer:

5x^2-12x-2

Step-by-step explanation:

Use distributive property, then add like terms. See file below for steps.

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
How to solve this equation?
lilavasa [31]
I solved it on your other posting of it. x = 12
All of the steps are there
7 0
3 years ago
Read 2 more answers
Write a mathematical sentence that expresses the information given below . Use t as your variable name.Necessary type <= to m
miskamm [114]

Answer:

t + 8° > 82°

Step-by-step explanation:

Given that :

Let t = temperature when Susanne checks at 11:00

If t rises by 8 more degrees, it will break the record high temperature for that day

Record high temperature for the day = 82 degree

Hence,

Temperature at 11:00 + 8° > record high temperature for the day

t + 8° > 82°

6 0
3 years ago
Calculate the total cost of an item bought at a negotiated price of $15,640 and a $2,500 trade-in allowance. The sales tax is 7.
34kurt
15,640 * 7.2% = 1,126.80 Sales tax

Total cost:
cost of an item: 15,640 - 2,500 = 13,140.00
sales tax                                         1,126.80
registration fee                            <u>       106.00</u>
                                                     14,372.80   2nd option.
6 0
3 years ago
Charlotte's friend Tiana is making beignets to sell at Mardi Gra. Tiana has 6 bags of powdered sugar. Each beignet requires 1/4
emmasim [6.3K]

Answer:

Tina will be able to sell 24 beignets

5 0
3 years ago
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