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2 years ago

15

Which of the following statements are true? f(x) g(x)

1 answer:

Arturiano [62]2 years ago

7 0

B

Step-by-step explanation:

because the figure is based on the graphic law

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Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon?

Juli2301 [7.4K]

31 miles per gallon

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3 years ago

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1)

vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

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

We have to find the equation of tangent line to the given curve at point $(-3\sqrt3,1)$

By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

$\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=-\frac{2}{3}x^{-\frac{1}{3}}$

$\frac{dy}{dx}=\frac{-\frac{2}{3}x^{-\frac{1}{3}}}{\frac{2}{3}y^{-\frac{1}{3}}}$

$\frac{dy}{dx}=-\frac{x^{-\frac{1}{3}}}{y^{-\frac{1}{3}}}$

Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

$\frac{dy}{dx}=-(-3^{\frac{3}{2}})^{-\frac{1}{3}}=-\frac{1}{-(3)^{\frac{3}{2}\times \frac{1}{3}}}=\frac{1}{\sqrt3}$

Slope of tangent=m= $\frac{1}{\sqrt3}$

Equation of tangent line with slope m and passing through the point $(x_1,y_1)$ is given by

$y-y_1=m(x-x_1)$

Substitute the values then we get

The equation of tangent line is given by

$y-1=\frac{1}{\sqrt3}(x+3\sqrt3)$

$y-1=\frac{x}{\sqrt3}+3$

$y=\frac{x}{\sqrt3}+3+1$

$y=\frac{x}{\sqrt3}+4$

This is required equation of tangent line to the given curve at given point.

8 0

4 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B20%7D%3D" id="TexFormula1" title="\frac{12}{20}=" alt="\frac{12}{20}=" align

Alecsey [184]

The equivalent numbers of 12/20 are 60% and 0.60

<h3>How to convert the fraction?</h3>

The fraction expression is given as:

12/20

Multiply the fraction expression by 100%

So, the expression becomes

12/20 * 100%

Evaluate the product

60%

Express as fraction, again

60/100

Evaluate the quotient

0.60

Hence, the equivalent numbers of 12/20 are 60% and 0.60

Read more about fractions at:

brainly.com/question/11562149

#SPJ1

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2 years ago

338.08=8(0.07m+28.90+.30(28.90)

AlladinOne [14]

Answer:

m= - 396.253089

Step-by-step explanation:

hope this helps

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2 years ago

Evaluate.<br> 54 <br><br><br><br><br> Btw its worth 30 points

mina [271]

Answer:

what do you mean evaluate

Step-by-step explanation:

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3 years ago

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