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3 years ago

Which statement about (f) = 72x2 - 352x -40 is true

Mathematics

1 answer:

adoni [48]3 years ago

6 0

Answer: b

Step-by-step explanation:

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Match the polynomial expression on the left with the simplified version on the right.

Vitek1552 [10]

Given the following question:

First expression:

$\begin{gathered} \frac{12x^3-14x^2+16x-8}{3x-2} \\ \text{ Factor the expression:} \\ 12x^3-14x^2+16x-8=2(6x^3-7x^2+8x-4) \\ \frac{2\left(6x^3-7x^2+8x-4\right)}{3x-2} \\ \text{ Factor:} \\ 2\left(6x^3-7x^2+8x-4\right)=(3x-2)(2x^2-x+2) \\ =(3x-2)(2x^2-x+2)=2\left(3x-2\right)\left(2x^2-x+2\right) \\ \frac{2\left(3x-2\right)\left(2x^2-x+2\right)}{3x-2} \\ \text{ Cancel the common factor:} \\ -(3x-2) \\ 4x^2-2x+4 \end{gathered}$

Second expression:

3 0

1 year ago

Gavyn and Alex win some money and share it in the ratio 3:2. Gavyn gets £27. How much did they win in total?

velikii [3]

27÷3=9
9 is the original number.
9×2=18

the answer is 18.
if you wanted to check your work, 27:18 simplifies down to 3:2.

7 0

4 years ago

Read 2 more answers

Solve for x: |2x + 12| = 18

erastova [34]

|2x + 12| = 18

First, break down the problem into 2 equations . / 2x + 12 = 18 and -(2x + 12) = 18
Second, solve the first equation. / $2x + 12 = 18$
Subtract 12 from both sides. / $2x = 18 - 12$
Subtract 18 - 16. / $2x = 6$
Divide both sides by 2. / $x = \frac{6}{2}$
Simplify. / $x = 3$
Third, solve the second equation. / -(2x + 12) = 18
Simplify your brackets. / $-2x - 12 = 18$
Add 12 to both sides. / $-2x = 18 + 12$
Add 18 + 12. / $-2x = 30$
Divide both sides by -2. / $x = \frac{30}{-2}$
Simplify. / $x = -\frac{30}{2}$
Simplify. / $x = -15$
Fourth, collect the solutions. / $x = -15,3$

Answer: x = -15, 3

8 0

3 years ago

Factor and simplify: 4a^2c^2(a^2-b^2+c^2)^2

Dvinal [7]

4a^2c^2(a^2-b^2+c^2)^2 First, solve the exponent around the quantity. Being that it's a power of a power, you would multiply all the exponents inside the parentheses by two. So, after that, it would be: 4a^2c^2(a^4-b^4+c^4) Then, you would multiply what's outside the parentheses with every term within the parentheses: (4a^6c^2)-(4a^2c^2b^4)+(4a^2c^6) Now, you think you can take it from here, or do you need me to keep going?

8 0

3 years ago

How do you write 26.2 as a mixed number in simplest form

Arte-miy333 [17]

To write 26.2 as a mixed number in the simplest form, do the following:
26.2 = 26 + 0.2
= 26 + 2/10

Note that
$\frac{2}{10}= \frac{2 \times 1}{2 \times 5} = \frac{1}{5}$

Therefore
$26.2 = 26 \, \frac{1}{5} \\$

Answer: $26 \, \frac{1}{5}$

7 0

3 years ago