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goldfiish [28.3K]
3 years ago
8

Write the slope-intercept form equation of the line that passes through (1,-1) and (2, 2).​

Mathematics
1 answer:
mixer [17]3 years ago
4 0

Answer:

The answer to your question is y= 3x - 4.

Step-by-step explanation:

Plot the points (1,-1) and (2,2) and get your slope, in the case of slope-intercept form "m" using the rise/run method. You rise 3 units and run one unit to the right to get from (1,-1) to (2,2), so your slope is 3/1 or just simply 3. -4 is your y-intercept, or "b", because if you plot the two aforementioned points (1,-1) and (2,2) and make a line with them, your line meets the y-axis at the point (0, -4). Hope this helps!

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Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.
makvit [3.9K]

Answer:

a.) hours=13

b.) h\leq 15

c.) $$105

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:

7h=91

Solve for h. Divide both sides by 7:

\frac{7h}{7}=\frac{91}{7}\\\\h=13

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:

h\leq 15

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for <em>h</em> into an equation when she earns $7 per hour. Let the product of the hours and money equal <em>t</em> for total:

t=7(15)\\t=105

The most money Sylvia can earn in a week is $105.

<em>Finito.</em>

6 0
3 years ago
Please help meee its dueeeeee
Naya [18.7K]

Answer:

The answer is 8

Step-by-step explanation:

You set the equation 9n=8n+8

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n=8

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Please help!
podryga [215]

Answer:

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Step-by-step explanation:

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Need help with this ​
blagie [28]

Answer:

-5x^2-26

Step-by-step explanation:

(f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26

3 0
3 years ago
Clara created the poster shown below:
lana66690 [7]

Answer:

length=4\ cm\\width=6\ cm

Step-by-step explanation:

Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:

w_1=24\ cm\\l_1=16\ cm

In order to calculate the dimensions of the rectangular  at \frac{1}{4} times its current size, you need to multiply the original lenght by \frac{1}{4} and multiply the original width by \frac{1}{4}.

Knowing this, you get:

w_2=w_1\frac{1}{4}\\\\w_2=(24\ cm)(\frac{1}{4})\\\\w_2=6\ cm\\\\\\l_2=l_1\frac{1}{4}\\\\l_2=(16\ cm)(\frac{1}{4})\\\\l_2=4\ cm

6 0
3 years ago
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