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3 years ago

6q + 9 ≤ 9 and 6q + 9 ≥ −9

2 answers:

7 0

Hello there!

6q + 9 ≤ 9

Start by subtracting 9 from both sides

6q + 9 - 9 ≤ 9 - 9

6q ≤ 0

Then divide both sides by 6

6q/6 ≤ 0/6

q ≤ 0

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The second equation
6q + 9 ≥ -9

Start by subtracting 9 from both sides

6q + 9 - 9 ≥ -9 - 9

6q ≥ -18

Divide both sides by 6

6q/6 ≥ -18/6

q ≥ -3

Good luck with your studies!

kenny6666 [7]3 years ago

4 0

If you combine both of these inequalities, you will get
-9 ≤ 6q + 9 ≤ 9

You can further simplify this be using the absolute value.
If you use the absolute value, you will get
| 6q + 9 | ≤ 9

If you're trying to solve for q, use
-9 ≤ 6q + 9 ≤ 9
Subtract all parts by 9
- 18 ≤ 6q ≤ 0
Divide all parts by 6
- 3 ≤ q ≤ 0

Have an awesome day! :)

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Need help with equations with variables on both sides, giving 100 points, tysm if you help :) 6 (2x-4) = 8(x +2) A. 3 B. 10 C. 2

scoundrel [369]

Answer:

B. 10

C. All real numbers.

Step-by-step explanation:

6 (2x-4) = 8(x + 2)

Distribute the numbers outside of the factors:

12x - 24 = 8x + 16

Subtract both sides by '8x'

12x - 8x - 24 = 8x - 8x + 16

4x - 24 = 16

Add '24' to both sides:

4x = 40

Divide both sides by 4:

x = 10. Therefore, <u>B. 10</u> is the correct answer.

3(4p - 2) = -6(1 - 2p)

Distribute the numbers similarly to the example before:

12p - 6 = -6 + 12p

Subtract '12p' from both sides:

12p - 12p -6 = -6 + 12p - 12p

0 -6 = -6

Add '6' to both sides:

0 - 6 + 6 = -6 + 6

0 = 0

Therefore, the solution consists of <u>all real numbers.</u>

3 0

3 years ago

Which relation is also a function?

slavikrds [6]

Answer:

Hi san, A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to. For example, consider the following sets X and Y.

This should help you a bit.

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3 years ago

Can some one plz help I don't know how to do this

prohojiy [21]

This is a hard one so what you do is make a number line and put -5x, -9, and -24 hope this helps

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4 years ago

Hi, thx for helping

Sliva [168]

Answer:

C. 8.52624...

Step-by-step explanation:

The reason that C is different is because all of the other decimals are terminating decimals (meaning that they end or stop), while C is a repeating decimal, because it never ends.

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4 years ago

The average distance from Earth to the sun is about 9.3×10^7 miles. The average distance from Mars to the sun is about 1.4×10^8

diamong [38]

Move the decimal to the right (you go to the right since the exponent is positive, if the exponent was negative then you would move left) seven times, giving you 9,300,000 miles (for Earth). You then do the same with the next equation, giving you 140,000,000 miles (for Mars).

Finally, to find the official number of miles, you simply work the equation 140,000,000 - 9,300,000 .. giving you 130,700,000 miles.

If your teacher wants you to put it back into exponential form, then you first make the number into a decimal that is greater than one and less than ten.

1.30700000

Then, what you want to do is count all of the zeros as a single exponent, giving you 5, but we're not done yet. To get the correct answer, you have to also count the numbers until you reach the decimal. Remember to take out the zeros, because they're not really necessary anymore!

1.307× $10^{8}$

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4 years ago