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3 years ago

Find two numbers whose difference is 12 and whose sum is 40

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

5 0

Your answer is going to be 26 and 14, because 26+14=40, and 26-14=12.:)

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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>

No Solutions

<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 negative 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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You may not read the following passage that I have written.

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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

2 years ago

The line with equation y=my+b is perpendicular to the line with equation y=16 - x/3. The value of m is ____?

sweet-ann [11.9K]

Answer:

m=3

Step-by-step explanation:

Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the equation, $y=16-\frac{x}{3}$ . The slope or $m=-\frac{1}{3}$ . This means the slope of the other line will be the negative reciprocal which is -(-3)=3

8 0

3 years ago

Which expression has a value greater than 43 ? PLEASEEE HELP!

lozanna [386]

Answer:

7^2

Step-by-step explanation:

7*7=49

4^3=43

49>43

8 0

2 years ago

Which statement correctly describes this expression? 2m^3 -11

julsineya [31]

Answer:

Option A is the correct answer

Step-by-step explanation:

A. The difference of twice the cube of a number and 11

3 0

2 years ago

Determine which of the following equations, when graphed, intersect at the point (4, 0). Select all that apply. x - y = 4 -x - y

Elza [17]

Answer: only (x-y=4) and (x+y=4).

Step-by-step explanation:

Notice target point has y=0, so all terms with y are zero. Then all 6 equations reduce to m x = k, for various m and k. So calculate 4×m and compare to k six times.

x - y = 4 4=4 yes

-x - y = 4 -4=4 no

2x - y = 7 8=7 no

x + y = 4 4=4 yes

2x + y = 7 8=7 no

2x + y = -7 8=-7 no.

6 0

3 years ago

Read 2 more answers