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3 years ago

Factor 3h2 – 11h - 42

2 answers:

7 0

The answer is D
3*-42=-126
The factors of -126 that add to -11 are 7 and -18
replace -11h with 7h-18h
3h^2 + 7h - 18h - 42
Factor the first two terms and last two terms
h(3h+7) - 6(3h+7)
See how the two parentheses are the same?
THE ANSWER IS BELOW!!
(h-6)(3h+7)
the first parentheses has the terms that were outside, and the second has the original bracketed terms
This matches option D (it just multiplies the terms backwards, which gives the same result)

sattari [20]3 years ago

7 0

Answer:

The correct answer is option D. (3h + 7)(h – 6)

Step-by-step explanation:

It is given a quadratic function ,

3h² - 11h - 42

<u>To find the factors of given function</u>

3h² - 11h - 42 = 3h² - 18h + 7h - 42

= 3h(h -6) + 7(h - 6)

=(h - 6)(3h + 7)

= (3h + 7)(h – 6)

The correct answer is option D. (3h + 7)(h – 6)

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Please help me thank you

gayaneshka [121]

Answer:

x = 6

Step-by-step explanation:

First, separate the problem into $-\frac{2x}{3} +9=\frac{4x}{3} - 3$

Then, Subtract 9 from both sides of the equation. $-\frac{2x}{3} +9-9=\frac{4}{3} * x - 3-9$

Simplify. $-\frac{2x}{3}=\frac{4x}{3}-12$

Multiply 3 to each side, which will give you -2x = 4x - 36

Subtract 4x from each side -2x - 4x = 4x - 36x - 4x

Combine like terms: -6x = -36

Divide both sides by -6

Your answer should be 6

<em>(sorry for the late answer)</em>

5 0

3 years ago

A point is plotted on the number line at 225 . A second point is plotted at −434 .

malfutka [58]

Answer:

7 3/20

Step-by-step explanation:

I took the quiz.

7 0

3 years ago

If Fun Reads Bookstore has a ready club with a $40 fee and charges $5 per book and Cool Covers Bookstores club charges $100 fee

choli [55]

Answer:

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

Step-by-step explanation:

Given that:

Fee charged by Fun Reads Bookstore = $40

Charges per book = $5

Let x be the number of books.

A(x) = 5x+40

Fee charged by Cool Covers Bookstore = $100

Charges per book = $2

B(x) = 2x+100

For making Cool Cover Bookstores club a better deal,

B(x) > A(x)

2x+100 > 5x+40

2x-5x > 40-100

-3x > -60

Dividing both sides by -3

$\frac{-3x}{-3}>\frac{-60}{-3}\\x>20$

Hence,

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

8 0

3 years ago

The answer to this problem?

LenaWriter [7]

The simplified expression of $\sqrt{\frac{162x^9}{2x^{27}}}$ is $\frac{9}{x^9}$

<h3>How to simplify the expression?</h3>

The expression is given as:

$\sqrt{\frac{162x^9}{2x^{27}}}$

Divide 162 and 2 by 2

$\sqrt{\frac{81x^9}{x^{27}}}$

Take the square root of 81

$9\sqrt{\frac{x^9}{x^{27}}}$

Apply the quotient rule of indices

$9\sqrt{\frac{1}{x^{27-9}}}$

Evaluate the difference

$9\sqrt{\frac{1}{x^{18}}}$

Take the square root of x^18

$\frac{9}{x^9}$

Hence, the simplified expression of $\sqrt{\frac{162x^9}{2x^{27}}}$ is $\frac{9}{x^9}$