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worty [1.4K]
2 years ago
5

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

Mathematics
1 answer:
Artyom0805 [142]2 years ago
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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Two buses leave towns 1015 miles apart at the same time and travel toward each other. One bus travels 11 miles/hr slower than th
kiruha [24]

Answer:

Step-by-step explanation:

Bus One

speed = x

t = 7 hours

d = ?

Bus two

speed = x + 11

time = 7 hours

d1 = 1015 miles - d

Equations

d = s * t

Bus 1 + bus 2 = 1015

Solution

x * 7 + (x + 11)*7 = 1015

7x + 7x + 11*7 = 1015

14x + 77  =1015

14x + 77 - 77 = 1015 -  77

14x = 938

14x/14 = 938/14

x = 67 miles / hour

x + 11 = 78 miles / hour

3 0
2 years ago
What is the area of the composite figure?
Art [367]

Answer:

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

4 0
3 years ago
23+8b=-4.2 whats the answer
Dima020 [189]
B=-3.4 if you want an explanation just ask
6 0
3 years ago
Read 2 more answers
What is the slope of the line through (1, 9) and (–3, 16)?
zhannawk [14.2K]

Answer:

-7/4.

Step-by-step explanation:

This is  the difference in the y coordinates  / corresponding difference in the x coordinates.

here it is (16 - 9) / (-3-1)

= 7 / -4

= -7/4.

6 0
3 years ago
Read 2 more answers
Veronica tells another classmate that ΔHAT is congruent to ΔPAM because of the AAA Theorem. Is Veronica correct in what she tell
SCORPION-xisa [38]

Answer: Veronica is not correct

Explanation:

The AAA theorem, aka the AA theorem, only applies to similar triangles. We cannot use it to prove two triangles are congruent or not. We would need to know info about at least one pair of sides. So based on this diagram, we don't have enough information to know if triangle HAT is congruent to triangle PAM or not.

A similar example to this is to consider two equilateral triangles. Let's call them triangle A and triangle B. If equilateral triangle A has side lengths of 2, and has side lengths of 10, we can see that the triangles are not congruent. However, the triangles are similar because the corresponding angles equal one another. One triangle is a scaled copy of the other. This example is a counterexample as to why the AAA theorem is not a valid congruence theorem.

3 0
2 years ago
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