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2 years ago

If f(x) = 1 - 2x^3, find the inverse of f.

1 answer:

7 0

Swap x and y's positions

f(x) is another way of saying y, so basically tha initial function is y = 1-2x^3.

Change it up to x = 1-2y^3 and solve for y

X - 1 = - 2y^3

(X - 1)/-2 = y^3

So the cube root of ((x-1)/2) = y

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How do I get the correct answer?

Tems11 [23]

Answer:

1989.674m³

Step-by-step explanation:

It’s difficult to see the picture, and I can’t read the question. Are you looking for the volume of the composite shape? If so:

Cylinder: V= $\pi$ r²h =

Cone: V= $\pi$ r²h/3 =

Hemisphere: V=2/3 $\pi$ r³ = 2/3

TOTAL: 1570.796+157.079+261.799=1989.674m³

3 0

3 years ago

According to the Food and Drug Administration, the recommended daily intake of irom is 16 mg. This is 4 less than twice the reco

Marrrta [24]

Answer:

Step-by-step explanation:

2z-4=16

2z=20

z=10

10 mg

6 0

3 years ago

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0

2 years ago

Simplify the expression. Write the answer using scientific notation. (4 × 108)2

Tom [10]

Answer:

864

Step-by-step explanation:

(4)(108)(2)

=(432)(2)

=864

3 0

3 years ago

Solve the equation. t-12=3

Elis [28]

Answer:

t = 15

Step-by-step explanation:

t - 12 = 3

t = 3 + 12

t = 15

8 0

2 years ago

Read 2 more answers