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Brut [27]
3 years ago
8

Determine if the following functions are inverses of each other:

Mathematics
2 answers:
olasank [31]3 years ago
8 0

Answer:

what are the options of answers?

Step-by-step explanation:

Alenkasestr [34]3 years ago
3 0

Answer:

both outputs are x so f(x) and g(x) are inverses of each other

Step-by-step explanation:

You might be interested in
If < A and < B are supplementary, and < A = 3x - 9 degrees, and < B = 2x + 14 degrees, find x.
Annette [7]

Answer:

Option c, 35

Step-by-step explanation:

<A and <B are supplementary,

so, <A+<B = 180

or, 3x-9+2x+14=180

or, 5x+5=180

or, 5x=175

or, x=35

Answered by GAUTHMATH

7 0
3 years ago
Evaluate the function<br> f(x) = - 2x^2 + 2x + 4<br> Find f(1)
AlekseyPX

Answer:

f(1) = 4

Step-by-step explanation:

f(x) = - 2x^2 + 2x + 4

f(1) = - 2(1)^2 + 2(1) + 4

f(1) = -2 + 2 + 4

f(1) = 4

6 0
2 years ago
A
Elden [556K]

The graph is shown in the attached image.

8 0
2 years ago
A hot air balloon went from an elevation of 6,678 feet to an elevation of 3,438 feet in 48 minutes. What was its rate of descent
gregori [183]

Answer:

The rate  of descent is -67.5\frac{feet}{minute}

Step-by-step explanation:

we know that

The formula to calculate the rate or slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

Let

x------> the time in minutes

y----> the elevation in feet

we have

A(0,6,678)\ B(48,3,438)

Substitute the values

m=\frac{3,438-6,678}{48-0}

m=\frac{-3,240}{48}

m=-67.5\frac{feet}{minute}

4 0
3 years ago
(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an
Wittaler [7]

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>
  • The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
  • Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) =  4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

To know more about the maxima, here

brainly.com/question/17184631

#SPJ1

4 0
1 year ago
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