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tensa zangetsu [6.8K]
3 years ago
9

Please help me! 20 points! You don't have to graph btw! I only need help with 7 and 8!

Mathematics
2 answers:
Eva8 [605]3 years ago
7 0

I can't see pictures, but I'll try to help.

This is just an example.

3x+5>2x-7

   -5       -5

I subtracted 5 on both sides to cancel out it out.

3x>2x-12

-2x -2x

I subtracted the 2x to cancel it out.

x>-12

---

hope it helps

let me know if more explanation/example is needed

Mumz [18]3 years ago
6 0

Answer:

7. n>9

8. put an open dot a 9 and draw arrows to the right

9. x≤55

10. put a close dot on 55 and draw arrow to the left

move those numbers to the right or left sideeee

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What percent of 52 is 116.4?
Dmitrij [34]

Answer: 55.872

Step-by-step explanation:

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3 years ago
Amy has 1/2 hour to do 3 chores. She plans to spend the same fraction of an hour on each chore. She wants to use the number line
Natali5045456 [20]
Point A would be zero; Point B, the end of the 1/2-hour time interval, would be 1/2 (representing 1/2 hour).  Then Amy needs to subdivide the interval A to B into three equal time intervals and to determine the length of each of these subintervals.

I would begin with 1/2 and divide that by 3:  

1
--
2
====
   3
   --
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Inverting the fraction in the denom. and multiplying, we get

1      1       1
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So Amy will spend 1/6 th of an hour, or 10 minutes, on each chore.

Note that 3 times 1/6 comes out to 1/2 (hour), which is were we started.

5 0
3 years ago
Problem:
Molodets [167]

Answer:

a)

We know that:

a, b > 0

a < b

With this, we want to prove that a^2 < b^2

Well, we start with:

a < b

If we multiply both sides by a, we get:

a*a < b*a

a^2 < b*a

now let's go back to the initial inequality.

a < b

if we now multiply both sides by b, we get:

a*b < b*b

a*b < b^2

Then we have the two inequalities:

a^2 < b*a

a*b < b^2

a*b = b*a

Then we can rewrite this as:

a^2 < b*a < b^2

This means that:

a^2 < b^2

b) Now we know that a.b > 0, and a^2 < b^2

With this, we want to prove that a < b

So let's start with:

a^2 < b^2

only with this, we can know that a*b will be between these two numbers.

Then:

a^2 < a*b < b^2

Now just divide all the sides by a or b.

if we divide all of them by a, we get:

a^2/a < a*b/a < b^2/a

a < b < b^2/a

In the first part, we have a < b, this is what we wanted to get.

Another way can be:

a^2 < b^2

divide both sides by a^2

1 < b^2/a^2

Let's apply the square root in both sides:

√1 < √( b^2/a^2)

1 < b/a

Now we multiply both sides by a:

a < b

7 0
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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8 0
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