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3 years ago

(2^3)^2 (2^-2) / (2^2) (2^0)

Mathematics

2 answers:

fgiga [73]3 years ago

6 0

Answer: 4

Step-by-step explanation:

The answer is 4

Dmitry [639]3 years ago

3 0

Answer:

$(2^3)^2 (2^-2) / (2^2) (2^0)$

${2}^{3} \times {2}^{3} \times 0 \div {2}^{2} \times 1 = 0$

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Rationalize the denominator and simplify. 6 /5-3

sattari [20]

Answer:

-9/5

Step-by-step explanation:

Step 1: Take the LCM in the denominator

6/5-3

multiply the numerator and denominator by 5 to make the denominator 5.

6-3 (x5)

5 1 (x5)

=6-15

= -9

6 0

3 years ago

Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

$y=(x^2-2x+1)+(2x-2)$

$y=x^2+(-2x+2x)+(1-2)$

$y=x^2+0+-1$

$y=x^2$

So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

Solve the first equation for $t$ by dividing both sides by 2:

$t=\frac{x}{2}$ .

Let's plug this into equation 2:

$y=4(\frac{x}{2})^2+4(\frac{x}{2})-3$

$y=4(\frac{x^2}{4})+2x-3$

$y=x^2+2x-3$

This is the desired result.

Choice 3:

$x=t-3$

$y=t^2+2t$

Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

$y=x^2+8x+15$

Not the desired result.

Choice 4:

$x=t^2$

$y=2t-3$

I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

$x=(\frac{y+3}{2})^2$

This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

Choice 5:

$x=t+1$

$y=t^2+4t$

Solve the first equation for $t$ by subtracting 1 on both sides:

$x-1=t$ .

Plug into equation 2:

$y=(x-1)^2+4(x-1)$

Distribute and use the binomial square identity used earlier:

$y=(x^2-2x+1)+(4x-4)$

$y=(x^2)+(-2x+4x)+(1-4)$

$y=x^2+2x+-3$

$y=x^2+2x-3$ .

This is the desired result.

3 0

3 years ago

Read 2 more answers

Q : what 1:9 x 6 = ?

kow [346]

Answer:

the answer is $\frac{2}{3}$

Step-by-step explanation:

hope this helps :)

can I get brainliest plz

4 0

2 years ago

Read 2 more answers

Simplify using the order of operations. 9−4 ·5+6

Aleksandr-060686 [28]

we know that the multiplication comes first in the family then we start from left to right

4 x 5= 20

9-20 = -11

-11 + 6 = -5

there you go!

3 0

2 years ago

Read 2 more answers

Steven, a tailor, got an order to make a blazer. The customer specifically asked him to save 5⁄6 of a foot of the given cloth to

xz_007 [3.2K]

To answer this question, we just need to subtract the saved cloth from the requested cloth:

$\frac{5}{6} - \frac{5}{12}$

Since the fractions don't have the same denominator, we have to find the least common denominator. Luckily, since 6 goes into 12 twice, we can convert $\frac{5}{6}$ into $\frac{10}{12}$ :

$\frac{5}{6}( \frac{2}{2}) - \frac{5}{12} = \frac{10}{12} - \frac{5}{12}$

Now that the fractions have a common denominator, we can subtract them:

$\frac{10}{12} - \frac{5}{12} = \frac{5}{12}$

The difference between the requested cloth and the saved cloth is 5/12 of a foot, or 0.4166'.

6 0

3 years ago