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olchik [2.2K]
3 years ago
8

If a function f has an inverse and f(1) = -3, then f-1(-3) = 1. A) True B) False

Mathematics
1 answer:
bonufazy [111]3 years ago
4 0

Answer:

  A) True

Step-by-step explanation:

The ordered pair for the first expression is ...

  y = f(x)

  -3 = f(1)

  (x, y) = (1, -3)

The ordered pair for the second expression is ...

  y = f^-1(x)

  1 = f^-1(-3)

  (x, y) = (-3, 1)

The second ordered pair is the reverse of the first, so represents a point described by the inverse function. The statement is True.

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If you use exactly eight cups of cauliflower to make 6 veggie burritos and if you continue to make burritos using the same recip
Vitek1552 [10]

Answer:

9 burritos

Step-by-step explanation:

We can use ratios to solve

8 cups         12 cups

----------   = -----------------

6 burritos     x burritos

Using cross products

8x = 6*12

8x = 72

Divide by 8

8x/8 =72/8

x = 9

9 burritos

7 0
2 years ago
❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️
tiny-mole [99]

Answer:

x=\frac{\sqrt{14} }{2}

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 45^o. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}

We use just the positive root, since we are looking for an actual length. then, the requested side is:

x=\frac{\sqrt{14} }{2}

6 0
2 years ago
One student begins in Cleveland, Ohio, and walks towards Buffalo, New York, a distance of 200 miles. She walks at the rate of 2.
omeli [17]
Ok so student in cleveland walks 2.5 miles away from cleveland every hour from 8
so the distance, x is x=2.5t

the riding one rides 4 hours later, so t-4
11 mph
y=11(t-4)

A. x=2.5t
y=11(t-4)

when do they meet is when the distance when they are equal or when x=y
2.5t=x=y=11(t-4)
solve for t
2.5t=11(t-4)
2.5t=11t-44
-8.5t=-44
divide both sides by -8.5
t=5.17647

answer is 5.18 hours


A.
x=2.5t
y=11(t-4)

B. 5.18 hours

6 0
2 years ago
The school that Kathryn goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1
Kobotan [32]

Answer:

Step-by-step explanation:

a+s=14

a=14-s

a+8s=56, using a from above in this equation gives

14-s+8s=56

14+7s=56

7s=42

s=6

a=14-s

a=14-6=8

So student tickets cost $6 and adult tickets cost $8.

5 0
2 years ago
Factor x^2-6x-7.<br> A.(x-7)(x+1)<br> B.(x-7)(x-1)<br> C.(x+4)(x+7)<br> D.(x+7)(x-1)
Marina86 [1]
A is the answer because x^2-6x-7 is (x-7)(x+1).


5 0
2 years ago
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