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3 years ago

What is the result when (2x+2)^2 is subtracted from 1

Mathematics

1 answer:

geniusboy [140]3 years ago

4 0

Answer:

- 4x² - 8x - 3

Step-by-step explanation:

We want to calculate

1 - (2x + 2)² ← expand using FOIL

= 1 - (4x² + 8x + 4) ← distribute parenthesis by - 1

= 1 - 4x² - 8x - 4 ← collect like terms

= - 4x² - 8x - 3

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Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

ddd [48]

The answer is 4 3/4 yards of the fabric.

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$

Let's express 3 1/6 as 19/6:
$3 \frac{1}{6} =3+ \frac{1}{6} = 3* \frac{6}{6}+ \frac{1}{6} = \frac{18}{6} + \frac{1}{6} = \frac{18+1}{6} = \frac{19}{6}$

Similarly, 1 1/3 = 4/3:
$1 \frac{1}{3} =1+ \frac{1}{3} = 1* \frac{3}{3}+ \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{3+1}{3} = \frac{4}{3}$

Now, let's use this in the proportion:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$
 $\frac{19}{6} : \frac{4}{3} = x:2$

Crossing the products:
$x* \frac{4}{3} =2* \frac{19}{6}$
⇒ $x* \frac{4}{3} = \frac{19}{3}$
⇒ $x = \frac{19}{3} : \frac{4}{3}$
$x= \frac{19}{3} * \frac{3}{4}$
⇒ $x = \frac{19}{4} = \frac{16+3}{4} = \frac{16}{4} + \frac{3}{4} =4+ \frac{3}{4} =4 \frac{3}{4}$

Therefore, Mary needs in total 4 3/4 yards of the fabric.

6 0

3 years ago

Read 2 more answers

PLEASE HELP I WILL MARK YOU AS BRAINLEIST

Brums [2.3K]

Answer:

The coordinates that are now will be flipped

Step-by-step explanation:

I will give explanation in the comments

8 0

3 years ago

Please help me :((((

pochemuha

Answer: the answer is y=6x+4......i just had this question on a quiz

Step-by-step explanation:

8 0

3 years ago

Solve for x and y 17) 2x - 3y = -1 y = x-1

Cloud [144]

Answer:

x = 4 , y = 3

Step-by-step explanation:

Solve the following system:

{2 x - 3 y = -1 | (equation 1)

y = x - 1 | (equation 2)

Express the system in standard form:

{2 x - 3 y = -1 | (equation 1)

-x + y = -1 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x - 3 y = -1 | (equation 1)

0 x - y/2 = (-3)/2 | (equation 2)

Multiply equation 2 by -2:

{2 x - 3 y = -1 | (equation 1)

0 x+y = 3 | (equation 2)

Add 3 × (equation 2) to equation 1:

{2 x+0 y = 8 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 4 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = 4 , y = 3

4 0

4 years ago

How many times 36 go into 37?

nikitadnepr [17]

It goes in once with a remainder of 1

3 0

3 years ago