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RSB [31]
3 years ago
8

Given the function, f(x) = - 5x – 3, what is the value of x when f(x) = - 18?

Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

Answer:

3

Step-by-step explanation:

Set up your equation -> -5x - 3 = -18

Add 3 to both sides -> -5x = -15

Divide both sides by -5 -> x= 3

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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
3 years ago
The volume of a three-dimensional shape is
Karo-lina-s [1.5K]
Are you looking for the equation.. V=bh?
5 0
3 years ago
50 POINTS PLEASE EXPLAIN ANSWER A slice is made perpendicular to the base of a right rectangular pyramid through the vertex.
Elza [17]
Um, we see that the slice created the triangle, and the formula to find the area of the triangle:
1/2×B×h where B represent Base and h represent height.
In this case, Base=5 cm
Height=11 cm
A=1/2×11×5
A=5.5×5
A=27.5 square cm. As a result, the area of the resulting two-dimensional cross section is 27.5 square cm. Hope it help!
8 0
3 years ago
Read 2 more answers
Solve 4e^2x-3=12 please help
Anestetic [448]

4*e^{2x} -3 = 12

Step 1:

Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.

4*e^{2x} = 12+3

4*e^{2x} = 15

Step 2:

Next we have 4 in multiplication on left side, so dividing right side by 4,

e^{2x} = 15/4

e^{2x} = 3.75

Step 3:

taking log on both sides

ln ( e^{2x}) = ln(3.75)

{2x} =ln 3.75

Step 4:

Dividing right side by 2,

x= ln (3.75) /2 = 0.66088

Answer : x = 0.66088..


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3 years ago
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What is 2/10 as a percent
Wittaler [7]
2/10 as a percent would be 20%.
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3 years ago
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