All categories

3 years ago

Subtract (x^2+3x-4) -(4x-2x^2-3)

Mathematics

1 answer:

Feliz [49]3 years ago

4 0

Answer:

3 x^2 - x + -1

Step-by-step explanation:

Simplify the following:

-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4

Factor -1 out of -2 x^2 + 4 x - 3:

--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4

(-1)^2 = 1:

2 x^2 - 4 x + 3 + x^2 + 3 x - 4

Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):

(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)

x^2 + 2 x^2 = 3 x^2:

3 x^2 + (3 x - 4 x) + (-4 + 3)

3 x - 4 x = -x:

3 x^2 + -x + (-4 + 3)

3 - 4 = -1:

Answer: 3 x^2 - x + -1

You might be interested in

Please solve with explanation I’ve been asking all day (this is not a multiple choice question)

Anastaziya [24]

Answer:

a) $SA = 522.9~cm^2$

b) $V_{cone} = 670.2~cm^3$

c) $V_{empty} = 1340.4~cm^3$

Step-by-step explanation:

For a cone,

$SA = \pi r (L + r)$

where L = slant height

$L = \sqrt{r^2 + h^2}$

We have r = 8 cm; h = 10 cm

$L = \sqrt{(8~cm)^2 + (10~cm)^2}$

$L = \sqrt{164~cm^2}$

$SA = (\pi)(8~cm)(\sqrt{164~cm^2} + 8~cm)$

$SA = 522.9~cm^2$

$V_{cone} = \dfrac{1}{3}\pi r^2 h$

$V_{cone} = \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)$

$V_{cone} = 670.2~cm^3$

$V_{cylinder} = \pi r^2 h$

empty space = volume of cylinder - volume of cone

$V_{empty} = V_{cylinder} - V_{cone}$

$V_{empty} = \pi r^2 h - \dfrac{1}{3}\pi r^2 h$

$V_{empty} = (\pi)(8~cm)^2(10~cm) - \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)$

$V_{empty} = 1340.4~cm^3$

3 0

2 years ago

Please help me:( I've been stuck on this for so long

Contact [7]

Answer:\

S=4

Step-by-step explanation:

Hope this helped!!!!!

6 0

2 years ago

Read 2 more answers

Combine like terms.<br><br> 8y2 + 8(7y2 − 9) =

djverab [1.8K]

Answer:

8 • (8y2 - 9)

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Determine the number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers

Thepotemich [5.8K]

Answer:

There are 26 possible way to determine two distinct integers whose sum is 27.

Step-by-step explanation:

To find : The number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers whose sum is 27.

Solution :

We have given the numbers from 1,2,3,4......,29,30.

In order to get two distinct numbers having the sum 27,

There are the possibilities :

1+26=27

2+25=27

3+24=27

......

24+3=27

25+2=27

26+1=27

The maximum number taken is 26.

So, There are 26 possible way to determine two distinct integers whose sum is 27.

5 0

2 years ago

What is the midpoint of this ?

dybincka [34]

Answer:

M(-2; -5)

Step-by-step explanation:

7 0

2 years ago