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2 years ago

8

Please help i dont get this!

1 answer:

creativ13 [48]2 years ago

4 0

Answer:

The other one is -8 this is because the point on the graph is multiplied by 2

Step-by-step explanation:

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Convert 0.45 into a fraction

gregori [183]

0.45 as a fraction is 45/100 and in simplest form it is 9/20.

$0.45 = 47/100 = 9/20$

6 0

3 years ago

Read 2 more answers

Given the function f(x)=2x-1<br> Evaluate: <br>a) 2f(x) <br> b) f(2x)

Dmitrij [34]

Answer:

a) 2f(x) = 4x - 2

b) f(2x) = 4x - 1

Explanation:

Given function:

f(x) = 2x - 1

a) 2f(x)

2f(x) = 2(2x - 1)

= 4x - 2

b) f(2x)

f(2x) = 2(2x) - 1

= 4x - 1

3 0

1 year ago

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

$2(x^2+y^2)^2=25(x^2-y^2)$

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

$40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})$

$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

$130\frac{dy}{dx}=90$

Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

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

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

$y=\frac{9}{13}(x)+\frac{27}{13}+1$

$y=\frac{9}{13}(x)+\frac{40}{13}$

Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

5 0

2 years ago

when jerry drives 100 miles on the highway his car uses 4 gallons of gasoline how much gasoline would his car use if he drive 27

Elanso [62]

Answer:

11

Step-by-step explanation: Two one hundreds would be 8 gallons and 75 is 3/4 of one hundred making that 3 gallons

7 0

3 years ago

What do we call financial assistance for a student who meets academic, athletic, or talent requirements to help pay for college

sladkih [1.3K]

This is a scholarship.

Student loans must be repaid; grants are given usually without those types of restrictions; and student work involves a student having an on-campus job.

8 0

3 years ago