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arsen [322]
3 years ago
13

Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2.

Mathematics
1 answer:
Greeley [361]3 years ago
6 0
The answer is:  " -3x² + 6 " .
_________________________________________________
Explanation:
_________________________________________________
 (2x² + 3x - 4) + (8 - 3x) + (- 5x² + 2) =

 2x² + 3x - 4 + 8 - 3x + 1(- 5x² + 2) ;
_____________________________

Note:  1(-5x² + 2) = - 5x² + 2 ;
______________________________
 2x² + 3x - 4 + 8 - 3x + 1(- 5x² + 2)  =

 2x² + 3x - 4 + 8 - 3x - 5x² + 2  = ?
_____________________________
Combine the "like terms" ;

+2x² - 5x² = - 3x² ;

+3x -3x = 0

-4 + 8 + 2 = 6 ;
___________________________________________________
So, we have:  " - 3x² + 6 " .
___________________________________________________

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INSERT PARENTHESES in
Nina [5.8K]

First, let's see what the answer is when we follow this equation using PEMDAS.

5 + 4 x 2 + 6 - 2 x 2 - 1

5 + 8 + 6 - 4 - 1

14

Now, let's trying grouping 5 + 4 together, and solving it again.

(5 + 4) x 2 + 6 - 2 x 2 - 1

9 x 2 + 6 - 2 x 2 - 1

18 + 6 - 4 - 1

24 - 5

19

So, the parentheses go around 5 + 4 to get your answer!

6 0
4 years ago
B is the midpoint of AC<br> AB = 6x – 5 and<br> BC = 8x – 11<br> Find AC.
vredina [299]

Answer:

AC=26

Step-by-step explanation:

AB and BC equal each other. So to find x, you would make the equation 6x-5=8x-11. Add 11 on both sides so it would be 6x+6=8x. Then subtract 6x from 8x. Then divide by 2 to get x=3. Since AC=AB+BC, plug in x into on of the equation and multiply by 2.

5 0
4 years ago
Please explain step by step for 0.67÷0.3=?
pentagon [3]
Multiply each of the numbers by a ten to a power that they both become whole numbers.

0.67 * 10^2 = 67
0.3 * 10^2 = 30

Divide as usual.

67 / 30 = 2 \frac{1}{3}

So, the answer is 2 1/3.
3 0
3 years ago
A rectangle measures 6 inches by 15 inches. If each dimension of the rectangle is dilated by a scale factor of 1/3 to create a n
Brrunno [24]
I think it is A. I could be wrong
4 0
3 years ago
At a fundraiser breakfast, the bill for 3 glasses of orange juice and 5 pancake specials is $7.60, whereas the bill for 1 glass
Margaret [11]
<h3>Answer:</h3>

A. 3j+5p=7.60; 1j+2p=2.90

B. (j, p) = (0.70, 1.10)

C. $1.80

<h3>Step-by-step explanation:</h3>

A. The bill is calculated by adding the products of quantity and price.

... 3j + 5p = 7.60 . . . . . . first bill

... 1j + 2p = 2.90 . . . . . . second bill

B. It is convenient to use the second equation to write an expression for j, then substitute that into the first equation.

... j = 2.90 -2p

... 3(2.90 -2p) +5p = 7.60 . . . . . substitute for j

... 8.70 -p = 7.60 . . . . . . . . . . . . eliminate parentheses, collect terms

... 1.10 = p . . . . . . . . . . . . . . . . . . add p-7.60

... j = 2.90 -2·1.10 . . . . put the value for p into the expression for j

... j = 0.70

C. j + p = 0.70 + 1.10 = 1.80

The cost of a juice and pancake special is $1.80.

5 0
3 years ago
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