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3 years ago

Which graph represents the solution of y <_ x + 3 and y >_ -2x - 2? Please show work

Mathematics

1 answer:

ziro4ka [17]3 years ago

7 0

Answer:

it is 4th one

Step-by-step explanation:

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Simplify using only POSITIVE exponents:

pickupchik [31]

So here are a few rules with exponents that you should know:

Multiplying exponents of the same base: $x^m*x^n=x^{m+n}$
Dividing exponents of the same base: $x^m\div x^n=x^{m-n}$
Powering a power to a power: $(x^m)^n=x^{m*n}$
Converting a negative exponent to a positive one: $x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m$

Firstly, solve the outside exponent:

$(2x^3y^7)^{-2}=2^{-2}x^{3*-2}y^{7*-2}=2^{-2}x^{-6}y^{-14}$

Next, convert the negative exponents into positive ones:

$2^{-2}x^{-6}y^{-14}=\frac{1}{2^2x^6y^{14}}=\frac{1}{4x^6y^{14}}$

<u>Your final answer is $\frac{1}{4x^6y^{14}}$ </u>

For this, just divide:

$\frac{12x^5y^3}{4x^{-1}}=\frac{12}{4}x^{5-(-1)}y^{3-0}=3x^6y^3$

<u>Your final answer is $3x^6y^3$ </u>

For this, convert all negative exponents into positive ones:

$\frac{r^{-7}b^{-8}}{t^{-4}w}=\frac{t^4}{r^7b^8w}$

<u>Your final answer is $\frac{t^4}{r^7b^8w}$ </u>

3 0

3 years ago

Find the missing length of the right triangle.

Luden [163]

Answer:

20...................

3 0

3 years ago

20x100/2???????????????????????????????????????????????????????????????????????????????

Nezavi [6.7K]

Answer: 1000

Step-by-step explanation:

20x100=2000 and then 2000/2=1000

7 0

3 years ago

Read 2 more answers

Select the correct answer

scoray [572]

Answer: A

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A bee flies 25 m north of the hive then 10 m east 5 m west and 10 m south. How far north and east of the hive is it now? Explain

mafiozo [28]

Answer:

20 meters north.

Step-by-step explanation:

(I did it on a paper not to lose track.) First we go 25 north. Then ten east. Five south. And 10 west again. So in East/West we didn't move but we moved 5 down/south so we are still at twenty. If you don't understand still draw it on a paper.

5 0

3 years ago