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3 years ago

What is the solution to the following equation? |3x - 6| = 10

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

1) Set up the following two equations, because of the absolute value:

3x-6=10

3x-6=-10

2) Solve both equations:

3x=16

3x=-4

3) Divide both sides by 3:

x=16/3

x=-4/3

4) Make fractions proper:

x=5 1/3

x=-1 1/3

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Find the measurement

xenn [34]

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$6z + 7 = 8z - 9$

$8z - 9 = 6z + 7$

Add sides 9

$8z - 9 + 9 = 6z + 7 + 9$

$8z = 6z + 16$

Subtract sides 6z

$- 6z + 8z = - 6z + 6z + 16$

$2z = 16$

Divide sides by 2

$\frac{2z}{2} = \frac{16}{2} \\$

$z = 8$

Thus ;

$NP = 8z - 9$

$NP = 8(8) - 9$

$NP = 64 - 9$

$NP = 64 - 4 - 5$

$NP = 60 - 5$

$NP = 55$

Done...

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6 0

3 years ago

Andy was given data to draw 3 scatter diagrams.

vredina [299]

Answer:

A) Negative Correlation. B) C. C) B

Step-by-step explanation:

As the line of best fit is travelling downwards, it is a negative correlation, if the line of best fit is travelling upwards, it is a positive correlation, if the points on the graph are all over the place, there is no correlation.

As there are only three types of correlation, the strongest is always the positive.

The answer is B because there is no correlation and that means that there shouldn't be a line of best fit.

6 0

2 years ago

Where will these 2 lines intersect?<br><br> y = 2x + 7 and x = y + 4

defon

To find the intersecting point, you have to put the two formulas equal to each other
First isolate the same variable, in this case y
So y=x-4

Now we can say
2x + 7 = x - 4

Now solve for x

X= 3

Now fill this in in either one of the formulas

Y= 2 (3) + 7
Y= 13

So they’ll intersect at (3,13)

5 0

3 years ago

Read 2 more answers

Use the graph of f(x) = log x to obtain the graph of g(x) = log x + 5.

galina1969 [7]

The graph of g(x) = f(x) + 5 will have the graph of f(x) moved 5 units upward. The best choice is the last one.

_____

Adding 5 to each y-value (the output of f(x)) moves it upward by 5 units.