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irina1246 [14]
2 years ago
5

Help with my homework pls Solve the compound inequality y + 7 ≥ –1 and y∕4 + 3 ≤ 5.

Mathematics
1 answer:
Marianna [84]2 years ago
8 0

Answer:

  -8 ≤ y ≤ 8

Step-by-step explanation:

Subtract 7 from the first one:

  y ≥ -8

Subtract 3 from the second one, then multiply by 4.

  y/4 ≤ 2

  y ≤ 8

Now, you can write these as a compound inequality:

  -8 ≤ y ≤ 8

_____

<em>Additional comment</em>

You basically solve these the same way you would an equation. The only difference is that multiplying or dividing by a negative number will reverse the inequality symbol:

  2 > 1

  -2 < -1 . . . . . multiplied above by -1.

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What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9
Dmitrij [34]

Hey there!

The answer to your question is 4x^2+2x-2

Given:

x^2-3x+7 and 3x^2 +5x-9

First, we can start by adding like terms. The following are like terms:

x^2 and 3x^2

-3x and 5x

7 and -9

Now, we can add these pairs together, giving us:

4x^2

2x

-2

Now, add all this together, and we get our answer as:

4x^2 + 2x - 2

Have a terrificly amazing day!

7 0
3 years ago
Write these fractions with the same denominatior 3/5= 2/3=
yanalaym [24]

30

Explanation:

5×6=30

3×10=30

hope this helps...I just looked it up and this is what I found

6 0
2 years ago
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How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2? zero one two
Vitek1552 [10]
From the law of sines, we have:

\displaystyle{ \frac{\sin \angle X}{x}= \frac{\sin \angle Y}{y}, 

where x and y are the sides opposite to angles X and Y, respectively.


Substituting the known values, we have:



\displaystyle{ \frac{51^{\circ}}{5}= \frac{\sin \angle Y}{2}, thus

                           \displaystyle{ \sin \angle Y=\frac{\sin 51^{\circ}}{5}\cdot2\approx \frac{0.777}{5}\cdot2=0.31.


Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.


5 0
3 years ago
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anygoal [31]
Parallel lines are both vertical and they don’t meet.
6 0
3 years ago
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laiz [17]

Answer:

2.5 km

Step-by-step explanation:

15 minutes is

15 minutes * 1 hour/ 60 minutes = 1/4 hour

15 minutes = 1/4 of an hour

10 km/ hour * 1/4 hour = 10/4  km  = 2.5 km

5 0
3 years ago
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