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2 years ago

If you multiply a number by 3 and then subtract 5, you will get 40. What is the number?

Mathematics

1 answer:

evablogger [386]2 years ago

3 0

Answer:

Step-by-step explanation:

Solve the problem backwards and it gives you the answer. Hope this helps

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Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

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

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

3 0

2 years ago

A. 45:75<br> Simply the ratio

Ronch [10]

<h2>Answer:</h2><h2>3:5</h2><h2 /><h2>Hope this helps!!</h2>

5 0

2 years ago

Read 2 more answers

How many two digit numbers do not contain the digit 9?

cricket20 [7]

87 numbers do not contain the digit 9

5 0

2 years ago

The question and information is on the photo pls if you can give me the work to.

alekssr [168]

Answer:

SI = 2052.61 ft

Step-by-step explanation:

cos 13 = 2000/SI

0.9744 = 2000/SI

multiply both sides by SI:

(SI)(0.9744) = 2000

divide both sides by 0.9744:

SI = 2052.61 ft

8 0

2 years ago

A line has a slope of 7 and passes through the point (-2,-1) What is its equation in point-slope form?

elena-s [515]

Answer:

y + 1 = 7(x + 2).

Step-by-step explanation:

Point slope form:

y - y1 =m(x - x1).

Here m = 7 and (x1, y1) = (-2, -1)

So the answer is;

y - (-1) = 7(x - (-2))

5 0

2 years ago