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2 years ago

Factor completely 5ab(x 6) − 4(x 6). Prime (x 6)(5ab 4) (x 6)(ab) (x 6)(5ab − 4).

Mathematics

1 answer:

kaheart [24]2 years ago

8 0

The complete factor of the polynomial 5ab(x + 6) − 4(x + 6) is (x + 6)(5abx − 4). Then the correct option is D.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ab(x + 6) − 4(x + 6).

Take (x + 6) common, then we have

5ab(x + 6) − 4(x + 6)

(x + 6)(5abx − 4)

The complete factor of the polynomial 5ab(x + 6) − 4(x + 6) is (x + 6)(5abx − 4). Then the correct option is D.

More about the polynomial link is given below.

brainly.com/question/17822016

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-3|9x-7|=2 Find the answer for x

labwork [276]

<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

<u>No Solutions</u>

<h3>Step-by-step explanation:</h3>

Given:

$-3|9x -7| = 2$

Rewriting the given equation:

$-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}$

We have to realize that the right side of the equation, $|9x -7|$ , will always be positive no matter what real values of $x$ (because we're taking the absolute value of the expression) and we are equating it to a <em>negative</em> constant number, $-\frac{2}{3}\\$ . Something that is always positive will never be negative so there's no value for $x$ that satisfies the solution.

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Solving by positive of the expression:

$9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}$

Solving by the negative of the expression:

$-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\ 9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}$

Checking: $x = \frac{19}{27}\\$

$-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{19}{27}\\$ is an extraneous solution.

Checking: $x = \frac{23}{27}\\$

$-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{23}{27}\\$ is an extraneous solution.

8 0

3 years ago

Solve −h−7h+13=3. Solve for h

Andreyy89

Answer:

I think your answer is h = -1

6 0

3 years ago

Read 2 more answers

A helicopter makes a round trip flight that lasts 4.5 hrs. if the average rate out was 80 miles per hour and the average rate in

zlopas [31]

Answer:

Let d = the one-way trip

Write a time equation: time = dist/speed

time out + time back = 4.5 hrs

d/80 + d/100 = 4.5

Multiply by 400 to clear the denominators

400*d/80 + 400*d/100 = 400(4.5)

Cancel the denominators

5d + 4d = 1800

d = 1800/9

d = 200 miles max distance

3 0

3 years ago

A carpenter cuts the corners of a rectangle to make the trapezoid shown.

lozanna [386]

The value of x in the trapezoid is 11.

<h3>Properties of an isosceles trapezoid</h3>

The base angles are the same
The sum of opposite angles is 180° or supplementary.
The diagonals are the same in length.

Therefore, the angle 9x and 7x + 4 are supplementary.

Hence,

9x + 7x + 4 = 180

16x + 4 = 180

16x = 180 - 4

16x = 176

x = 176 / 16

x = 11

learn more on trapezoid here: brainly.com/question/18651035

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4 0

2 years ago

Pls help ik mark brainliest

PolarNik [594]

4^4square root 2 is the answer

7 0

3 years ago