Simplify 3/4(1/2x + 4) + 1/2(x − 1)

Alexxx [7]

Answer: $2x^2+3x-2$

Step-by-step explanation:

You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.

Do $\frac{2x^3}{x}=2x^2$ . Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

$2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6$

Now do $\frac{3x^2}{x} =3x$ . Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

$3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6$

Your final step is to do $\frac{-2x}{x} =-2$ . Write this -2 next to your other two parts

Multiply -2 by (x - 3) to get:

$-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0$

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:

$2x^2+3x-2$ times

4 0

2 years ago

Read 2 more answers

Find the arc measures and angles listed below.

rusak2 [61]

Answer if you divide them or x them you'll get the answer!

4 0

2 years ago

Ayman can print a document on an apricot printer in 4.5 min how long it will take him to print the same document on a sure-fire

Semenov [28]

Use the four-step plan to solve each problem.

1. Financial Literacy Antonia bought a video game

system for $323.96. She paid in 12 equal

installments. About how much did she pay each

month?

ANSWER:

Sample answer: about $27

4. The planet Mercury takes 56.6 Earth days to rotate

once about its axis.

About how many times does it rotate about its axis

during one Earth year?

ANSWER:

Sample answer: about 6 times

6. The table shows the speed, in pages per minute

(ppm), for three different

brands of printer.

a. Andrew needs to print a document that is 180

pages long. How much longer will it take to print the

document on a Sure-Fire printer than on a Centroid

printer?

b. Carlos can print a document on an Apricot

printer in 4.5 minutes. How long would it take him

to print the same document on a Sure-Fire printer?

ANSWER:

a. 3 min

b. 3 min

7. The towns of Jackson, Bellevue, Salem, and

Denton lie along a highway, in the order listed. The

distance from Jackson to Salem is 84 miles. The

distance from Bellevue to Denton is 61 miles. The

distance from Bellevue to Salem is 18 miles. What

is the distance from Jackson to Denton?

ANSWER:

127 mi

10. Persevere with Problems Noah has a $20 gift

card for an online music store. All songs at the store

have the same price. After Noah buys 3 songs, the

balance on the card is $16.25. What will be the

remaining balance on the card after he buys 5 more

songs?

ANSWER:

$10

13. A 26-mile section of a highway is designated as a

scenic byway. New signs will be placed at the

beginning and end of this section and at every 0.5

mile in between. How many new signs are needed?

A 13

B 14

C 52

D 53

ANSWER:

D

Use the four-step plan to solve each problem.

1. Financial Literacy Antonia bought a video game

system for $323.96. She paid in 12 equal

installments. About how much did she pay each

month?

ANSWER:

Sample answer: about $27

4. The planet Mercury takes 56.6 Earth days to rotate

once about its axis.

About how many times does it rotate about its axis

during one Earth year?

ANSWER:

Sample answer: about 6 times

6. The table shows the speed, in pages per minute

(ppm), for three different

brands of printer.

a. Andrew needs to print a document that is 180

pages long. How much longer will it take to print the

document on a Sure-Fire printer than on a Centroid

printer?

b. Carlos can print a document on an Apricot

printer in 4.5 minutes. How long would it take him

to print the same document on a Sure-Fire printer?

ANSWER:

a. 3 min

b. 3 min

7. The towns of Jackson, Bellevue, Salem, and

Denton lie along a highway, in the order listed. The

distance from Jackson to Salem is 84 miles. The

distance from Bellevue to Denton is 61 miles. The

distance from Bellevue to Salem is 18 miles. What

is the distance from Jackson to Denton?

ANSWER:

127 mi

10. Persevere with Problems Noah has a $20 gift

card for an online music store. All songs at the store

have the same price. After Noah buys 3 songs, the

balance on the card is $16.25. What will be the

remaining balance on the card after he buys 5 more

songs?

ANSWER:

$10

13. A 26-mile section of a highway is designated as a

scenic byway. New signs will be placed at the

beginning and end of this section and at every 0.5

mile in between. How many new signs are needed?

A 13

B 14

C 52

D 53

ANSWER:

D

5 0

3 years ago

What value is added to both sides of the equation x2 − 8x = −10 in order to solve by completing the square?−816−44?

Artyom0805 [142]

Do you see -8x?

Take half of -8 and square it.

So, (-8)/2 = -4.

(-4)^2 = 16

Now add 16 to both sides.

6 0

3 years ago

Read 2 more answers

Find the area of the shaded region

AlexFokin [52]

Answer:

7 $\pi$ cm²

Step-by-step explanation:

First, find the area of the big circle with the formula A = $\pi$ r²

A = $\pi$ (3)²

A = 9 $\pi$

Now, we can find the areas of the smaller circles. Since they have the same radius, they are congruent (will have the same area)

A = $\pi$ r²

A = $\pi$ (1)²

A = $\pi$

Now, we will subtract the areas of the smaller circles from the area of the big circle to find the area of the shaded region:

9 $\pi$ - $\pi$ - $\pi$ = 7 $\pi$

So, the area of the shaded region is 7 $\pi$ cm²

5 0

3 years ago