The equations in the system below are parallel.

Mathematics

1 answer:

miv72 [106K]3 years ago

4 0

The system has no solutions

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(√2)^3<br><img src="https://tex.z-dn.net/?f=%20%28%5Csqrt%7B2%29%20%7B%3F%7D%5E%7B3%20%5C%5C%7D%20" id="TexFormula1" title=" (\s

Vedmedyk [2.9K]

$\sf \left(\sqrt{2}\right)^3\\\\\\\\\boxed{\sf \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}}\\\\\\\\\sf \left(2^{\frac{1}{2}}\right)^3\\\\\\\\\boxed{\sf\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} }\\\\\\\\\sf \sf 2^{\frac{1}{2}\cdot \:3}\\\\\\\\\sf 2^{\frac{3}{2}}\\\\\\\\\sf 2^{\frac{3}{2}}=2^{1+\frac{1}{2}}\\\\\\\\\sf 2^{1+\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Apply\:exponent\:rule}:\quad \:x^{a+b}=x^ax^b}\\\\\\\\\sf$

$\sf 2 ^1\cdot \:2^{\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Refine}}\\\\\\\\\boxed{\sf =2\sqrt{2}}$

5 0

3 years ago

The table shows how much a store charges for certain numbers of pencils. Number of pencils (p) Cost (c) 4 $0.72 7 $1.26 12 $2.16

Arada [10]

Find the rate of change, (y2-y1)/(x2-x1), from the data given...

(2.16-1.26)/(12-7)=0.18

(1.26-0.72)/(7-4)=0.18

Since the rate is constant, this is a linear equation of the form y=mx+b. Furthermore, since 0 pencils cost 0, b=0, so the cost of the pencils is simply the number of pencils times 18 cents...

c(p)=0.18p (cost with respect to pencils is 0.18 times the number of pencils)

7 0

3 years ago

What is the standard form of this complex number? (24-10i)-(43+18i)

Yuki888 [10]

Answer:

-19-28i

Step-by-step explanation:

Simplify and write the answer in standard form, a+bi.

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3 years ago

Give the domain and range of the relation.

igor_vitrenko [27]

Answer: A Domain: {-5, 0, 4, 6} Range: {-9,0, 9, 13}

Step-by-step explanation:

Domain is the x-values, least to greatest.

Range is the y-values, least to greatest.

6 0

3 years ago

How to get answer of 5/7 of 22??

Sladkaya [172]

The answer would be 15.7142857143

You can get the answer by calculating (5/7) × 22

4 0

4 years ago