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Triss [41]
3 years ago
8

You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays

$9 per hour. You need to earn at least $314 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.​
Mathematics
1 answer:
Alex787 [66]3 years ago
5 0

Answer: 7x + 9y >_ (more or equal) 314

X + Y <_ ( less or equal) 35

Step-by-step explanation:

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Which equation represents the line through (4, -6) and (0, 2)?
lukranit [14]

Answer:

y=-2x+2

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

Plug in the given points (4, -6) and (0, 2):

m=\displaystyle\frac{-6-2}{4-0}\\\\m=\displaystyle\frac{-8}{4}\\\\m=-2

Therefore, the slope of the line is -2. Plug this into y=mx+b:

y=-2x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into y=-2x+b:

y=-2x+2

I hope this helps!

3 0
3 years ago
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3. Write f(x) = x3 – 2x² – 15x in factored form.<br>What are the zeros?​
Archy [21]
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3 years ago
-5 + 6 answer this question for 30 points
Viktor [21]
-5+6 = 1. This is the answer. Thank you
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3 years ago
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What is the value of the expression 3y-4xy^2 when x=3 and y=-6
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3 years ago
Benito wrote the equations shown about the figure. Explain Benito’s errors.
Minchanka [31]

Answer:

  • Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.

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