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3 years ago

For what value of x does the function have an output of -7, given that g(x) = -3x + 8

Mathematics

1 answer:

madam [21]3 years ago

4 0

Answer:

X=5

Step-by-step explanation:

-3x+8=-7

-3x=-15

X=5

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← How many solutions does this linear system have y = x+2 6x - 4y = -10

defon

Answer:

This linear system has one solution.

Step-by-step explanation:

First equation: y = x + 2

Second equation: 6x - 4y = -10

Let's change the second equation in slope-intercept form y = mx + b.

Slope-intercept form

y = mx + b

m ... slope

b ... y-intercept

$6x - 4y = -10$

$6x + 10 = 4y$

$\frac{6}{4}x + \frac{10}{4} = y$

$\frac{3}{2}x + \frac{5}{2} = y$

If two lines have the same slope but different y-intercept, they are parallel - system has no solutions.

If two lines have the same slope and the same y-intercept, they are the same line and are intersecting in infinite many points - system has infinite many solutions.

If two lines have different slopes then they intersect in one point - system has one solution.

We see that lines have different slopes. First line has slope 1 and the other line has slope $\frac{3}{2}$ . So the system has one solution.

You can also check this by solving the system.

Substitute y in second equation with y from first.

6x - 4y = -10

6x - 4(x + 2) = -10

Solve for x.

6x - 4x - 8 = -10

2x = -2

x = -1

y = x + 2

y = -1 + 2

y = 1

The lines intersect in point (-1, 1). <-- one solution

8 0

1 year ago

Which polynomial is prime? x3 + 3x2 – 2x – 6 x3 – 2x2 + 3x – 6 4x4 + 4x3 – 2x – 2 2x4 + x3 – x + 2

alexandr1967 [171]

D. 2x4+x3–x+2 is prime

4 0

3 years ago

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A department store buys 500 shirts at a cost of $4000 and sells them at a selling price of $10 each. Find the percent markup.

mart [117]

Answer:

25%

Step-by-step explanation:

to find the original cost of a single shirt:

4000 / 500 = $8

how much did they markup:

10 - 8 = 2

percent markup:

2/8 = 0.25 x 100 = 25%

5 0

3 years ago

I need help with my math homework, the thing we are working on is Unit Rates. Please help me.

lesantik [10]

I can help too yo, just post the questions and stuff like that

6 0

3 years ago

From the given slopes of the lines, identify whether the two lines are parallel, perpendicular, or neither.

vivado [14]

Answer:

Neither

Step-by-step explanation:

To be parallel the lines have to have the same slope. In this case the slopes are not the same.

To be perpendicular, the lines have to have negative reciprocal slopes.

For example, if one slope is 6, then its negative reciprocal i (- 1/6). We do not have this also.

So, the lines are no parallel and no perpendicular.

7 0

3 years ago

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