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2 years ago

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

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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 > X – 2 or 4 < 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) < 5x + 13<br> 1. x>-4<br> 2.x<17<br> 3.x<-4<br> 4.x>-17

Mrac [35]

Answer:

Its x < - 4

Step-by-step explanation:

7 0

3 years ago