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guajiro [1.7K]
3 years ago
15

Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –20 B. x ≤ –9 C. x ≤ –5 D. x ≤ –37

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0
C.
You distribute both the 2 and the -, combine like terms, add three to both sides and then divide out the 3 from 3 on both sides
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Where’s the circle ?
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Bakery rolls are being prepared to go to grocery stores. Divide 72 rolls into 2 groups so the ratio is 3 to 5.
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45 rolls are in a group and 27 rolls are in the other group
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What is the slope of the line?
spin [16.1K]

Answer:

-7/2

Step-by-step explanation:

The slope of a line can be defined as: \frac{rise}{run}, which can be more formally calculated as: \frac{y_2-y_1}{x_2-x_1}, where it's essentially the same thing, except the rise/run is being calculated with two points (which you already need)

So let's just say: (x_1, y_1)=(-5, 5)\text{ and } (x_2, y_2)=(-3, -2)

Plugging the values into the equation we get: \frac{-2-5}{-3-(-5)}\implies\frac{-7}{-3+5}\implies-\frac{7}{2}

You can also just look at the graph and see that from point 1 to point 2, it "rised" -7 units, and "ran" 2 units.

Notice how the "rise" is negative? That just means it went down.

4 0
1 year ago
The coordinates below represent two linear equations.
marshall27 [118]
Look at the first line in the first problem.
x    y
<span>–6 –6
–4 –3</span>
find the slope:
y2-y1 / x2-x1
-3+6 / -4+6
3 / 2
the slope is 3/2. now plug this into point-slope form, along with one of the ordered pairs. i'll use (-4,-3) because the numbers are smaller.
y-y1=m(x-x1)
y+3=3/2(x+4)
y+3=3/2x+6
y=3/2x+3

now do the same for the other line.
<span>x y
0 3
2 6
actually, this one's convenient, because it tells you the y-intercept is 3 (when an ordered pair has a 0 as its x coordinate, that means its on the y axis). so we just have to find the slope.
y2-y1 / x2-x1
6-3 / 2-0
3/2
the line is y=3/2x+3. it's the same line as before. that means there are infinitely many solutions, because there are an infinite amount of points where the lines "cross" each other (since they lie on top of each other).

follow the same procedure for the next problem. if the equations turn out to be the same, it has infinite solutions. if the two lines have the same slope but different intercepts, that means they're parallel, and have no solution since the lines will never intersect. if the lines have different slopes, they will have one solution. and it makes no sense for lines to intersect at two different points, so you can ignore that option altogether.

hope this helps
</span>
6 0
3 years ago
How can I find the volume of this fish tank
nikdorinn [45]
Volume of cuboid=lenght*breadth*height
=3ft*3ft*5ft
=45ft^3
5 0
3 years ago
Read 2 more answers
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