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blagie [28]
3 years ago
14

A ) If f(x) = x^3-7/2, find f^-1(x) b ) find f^-1(28.5)

Mathematics
1 answer:
Lina20 [59]3 years ago
7 0

Step-by-step explanation:

The solution is more detailed

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Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
WARRIOR [948]

Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

k=1

Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

8 0
3 years ago
Read 2 more answers
If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over?
Katyanochek1 [597]

Answer:

= area \: of \: square - area \: of \: circle \\  = (s \times s) - (\pi {r}^{2} ) \\  = (24 \times 24) - (3.14 \times  ( { \frac{24}{2} })^{2})  \\  \\  = 576 - 452.16 \\  = 123.84 \: square \: inches

4 0
3 years ago
Solve for c of the right triangle
Ede4ka [16]
In order to solve this triangle we must use cosine law:
c^{2} = a^{2} + b^{2} - 2ab*cosC

Now let's plug in the values we are given:
c^{2} = 5^{2} + 8^{2} - 2(5)(8) * cos 67
c^{2} = 25 + 64 - 80*cos67
c =  \sqrt{80-cos67}

5 0
3 years ago
Read 2 more answers
What is the difference? −15 − (−3)
klasskru [66]
The answer is -12 bc you take away the 3
3 0
9 months ago
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Please aswer this. Thank you!
mamaluj [8]

Answer:

4 pairs of sock and a little bit of left over change.

Step-by-step explanation:

24.95 + 5.95x = 50

-24.95                -24.95

5.95x=25.05

/5.95   /5.95

x = 4.21

We drop the 0.21 because you cant have 0.21 pairs of socks and we get:

x=4

6 0
2 years ago
Read 2 more answers
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