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2 years ago

If f(x)=4(3x-5), find f^-1(x)

Mathematics

1 answer:

Margaret [11]2 years ago

3 0

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

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An object accelerates from rest at 10m/s2 for 20s. Calculate the velocity reached.

Nata [24]

Answer:

400 m/s

Step-by-step explanation:

u=0 m/s

t=20 s

a=20 m/s²

v=u+at

=0+20×20

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3 years ago

A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?

Kitty [74]

Answer:

H. 3 units

Step-by-step explanation:

In order to answer this question, we have to apply the formula for the sphere volume. The formula is:

$V=\frac{4}{3} \pi r^{3}$

Plugging the given number into V, we calculate that:

$113 = \frac{4}{3}\pi r^{3}\\84.75 = \pi r^{3} \\$

If π=3.14, the radius is:

r ≈ 3 units.

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2 years ago

Please does someone know the answer???

Oksana_A [137]

Answer:

Square root of 65

Its c

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5 0

3 years ago

Closed surface A is a sphere of radius R , closed surface B is a sphere of radius 2 R , and closed surface C is a cube with side

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

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3 years ago

Identify the equation of the circle that has its center at (-3, -4) and passes through the origin.

Allushta [10]

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - a center

r - a radius

We have:

The center (-3, -4) → h = -3 and k = -4.

The radius is equal the distance between the center of the circle and the origin.

The formula of a distance between two points:

$A(x_A,\ y_A),\ B(X_B,\ y_B)\\\\d_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

Substitute

$(-3,\ -4),\ (0,\ 0)\\\\d=\sqrt{(0-(-3))^2+(0-(-4))^2}=\sqrt{9+16}=\sqrt{25}=5$

therefore r = 5.

Answer:

$(x-(-3))^2+(y-(-4))^2=5^2\\\\(x+3)^2+(y+4)^2=25$

4 0

3 years ago