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3 years ago

14

How do you solve for 0.25(12-8p)=4p-9

1 answer:

natima [27]3 years ago

6 0

The answer is p = 2.

Here are the steps I did.

1. Expand ( 3 - 2p = 4p - 9 )

2. Add 2p to both sides ( 3 = 4p - 9 + 2p )

3. Simplify 4p - 9 + 2p to 6p - 9 ( 3 = 6p - 9 )

4. Add 9 to both sides ( 3 + 9 = 6p )

5. Simplify 3 + 9 to 12 ( 12 = 6p )

6. Divide both sides by 6 ( 12/6 = p )

7. Simplify 12/6 to 2 ( 2 = p )

8. Now lastly switch it up ( p = 2 )

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What is the rule for the piecewise function shown in the graph?

andrey2020 [161]

The first choice.
The equation of this first line is -2, and since there is an open circle, it is not equal to -3.
The equation of the second line is -x-2, and there is a closed circle, so it includes -3

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4 years ago

If a pound of coffee costs $6, how many ounces can be bought for $3

saveliy_v [14]

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4 years ago

Read 2 more answers

Which graph best represents the solution of the inequality y < |x + 2| – 1?

ollegr [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28-1%7B2%7D%7B3%7D%20%29x%5E%7B3%7D" id="TexFormula1" title="(-1{2}{3} )x^{3}" alt="(-1{2}{3}

Alex_Xolod [135]

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: $(\frac{-12}{3}) ^{3}$

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

<em>The parentheses are important so you cube the negative sign as well!</em>

3³ = 27

-1728 / 27 = -62

$(\frac{-12}{3}) ^{3}$ simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1 $\frac{2}{3}$ )³

Answer: - $\frac{125}{27}$

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get $-\frac{5}{3}$

To cube it we must do:

( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

(-1 $\frac{2}{3}$ )³ simplifed is - $\frac{125}{27}$

7 0

3 years ago

Eighteen subtracted from half a number is 38.<br> Find the number.

Andrews [41]

Answer:

x=112

Step-by-step explanation:

x/2-18=38

first add +18

x/2=56

now multiply by 2

x=112

6 0

4 years ago