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aalyn [17]
2 years ago
13

Write the linear equation in slope-intercept form and simplify. –4x + 13y = 7

Mathematics
1 answer:
statuscvo [17]2 years ago
4 0

\\ \sf\longmapsto -4x+13y=7

\\ \sf\longmapsto 13y=4x+7

\\ \sf\longmapsto y=\dfrac{4x+7}{13}

\\ \sf\longmapsto y=\dfrac{4}{13}x+\dfrac{7}{13}

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Evaluate the expression using a calculator:
tester [92]

The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.

<h3>What are the exponent and power rules?</h3>

The important exponent and power rules are:

  • a⁻ⁿ = 1/aⁿ; negative exponent
  • (ab)ⁿ = aⁿ × bⁿ; power of a product rule
  • aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
  • aⁿ/aˣ = aⁿ⁻ˣ; division rule
  • a^{\frac{x}{y} } = \sqrt[y]{a^x}; fractional exponent

<h3>Calculation:</h3>

The given expression is 126^{-3/4}

Using calculator: 126^{-3/4} = 0.0265

Applying the exponent rule for evaluating the given expression:

126^{-3/4}

Applying the negative power rule;

I.e., a⁻ⁿ = 1/aⁿ

⇒ 126^{-3/4}=\frac{1}{126^{3/4}}

Applying fractional exponent rule;

I.e., a^{\frac{x}{y} } = \sqrt[y]{a^x}

⇒ \frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }

⇒ 1/\sqrt[4]{2000376}

⇒ 1/37.6077

⇒ 0.0265

Therefore, the value of the given expression is 0.0265.

Learn more about exponent rules here:

brainly.com/question/11975096

#SPJ1

4 0
8 months ago
Building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi m
Ksivusya [100]

the area A of the cross section of the column is (81\pi )m^2 .

<u>Step-by-step explanation:</u>

Here we have , building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π, pi meters. We need to find What is the area A of the cross section of the column .Let's find out:

We know that  , Circumference of circle = 2\pi r

⇒ Circumference = 2\pi r

⇒ 18\pi= 2\pi r

⇒ \frac{18\pi}{2\pi }= \frac{2\pi r}{2\pi }

⇒ \frac{18\pi}{2\pi }=r

⇒ r=9

We know that area of circle = \pi r^2

⇒ Area= \pi r^2

⇒ Area= \pi 9^2

⇒ Area= 81\pi

Therefore , the area A of the cross section of the column is (81\pi )m^2 .

3 0
3 years ago
Solve for x and graph the solution on the number line below.<br> 2 &gt; X – 2 or 4 &lt; X - 2
rjkz [21]

okay so

-x

solutions 0,0 and 6,0

put that on the x axis

5 0
2 years ago
there is a cooler with 6 orange sodas, 6 root beers and 6 pepsi's. Terri reaches into the cooler and grabs a pepsi but terri doe
Ket [755]

HI There!

Answer:

6/18 or 1/3

Step-by-step explanation:

Total Sodas: 6 + 6 + 6 = 18

We Know: 6 Pepsi's out of all the sodas total.

Ratio: 6 Pepsi's/18 total sodas

Simplified: 1/3

Hope This Helps :)

5 0
3 years ago
Read 2 more answers
Solve:<br> 7(x + 3) &lt; 5x + 13<br> 1. x&gt;-4<br> 2.x&lt;17<br> 3.x&lt;-4<br> 4.x&gt;-17
Mrac [35]

Answer:

Its x < - 4

Step-by-step explanation:

7 0
3 years ago
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