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9966 [12]
4 years ago
13

Two or more complete sentences, explain how to use ordered pairs of points in f(x) and g(x) to determine if f(x) and g(x) are in

verses of each other.
Mathematics
1 answer:
kati45 [8]4 years ago
6 0
If f(x) is an inverse of g(x),

when
f(x)=y
g(y)=x

aka
f(g(x))=x
g(f(x))=x


basically, the values should be swiched

example
f(x)=
(1,2)
(2,3)
(4,5)
then g(x)=
(2,1)
(3,2)
(5,4)
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Which statement about 3(x2 – 4) is true?
atroni [7]

Answer:

The expression is not completely factored.

Step-by-step explanation:

The expression of {x}^{2} - 4 can be broken up into two binomials:

[x - 2][x + 2]

Together, you have this:

3[x - 2][x + 2]

** There is alot of missing information to this question, but at least you know how to work this out.

I am joyous to assist you anytime.

7 0
3 years ago
If the graph of y=f(x) passes through the point (0,1), and dy/dx=xsin(x^2)/y, then f(x)= ?
Zigmanuir [339]

The differential equation

d<em>y</em>/d<em>x</em> = <em>x</em> sin(<em>x</em> ²) / <em>y</em>

is separable as

<em>y</em> d<em>y</em> = <em>x</em> sin(<em>x</em> ²) d<em>x</em>

Integrate both sides:

∫ <em>y</em> d<em>y</em> = ∫ <em>x</em> sin(<em>x</em> ²) d<em>x</em>

∫ <em>y</em> d<em>y</em> = 1/2 ∫ 2<em>x</em> sin(<em>x</em> ²) d<em>x</em>

∫ <em>y</em> d<em>y</em> = 1/2 ∫ sin(<em>x</em> ²) d(<em>x</em> ²)

1/2 <em>y</em> ² = -1/2 cos(<em>x</em> ²) + <em>C</em>

Solve for <em>y</em> implicitly:

<em>y</em> ² = -cos(<em>x</em> ²) + <em>C</em>

Given that <em>y</em> = 1 when <em>x</em> = 0, we get

1² = -cos(0²) + <em>C</em>

1 = -cos(0) + <em>C</em>

1 = -1 + <em>C</em>

<em>C</em> = 2

Then the particular solution to the DE is

<em>y</em> ² = 2 - cos(<em>x</em> ²)

Solving explicitly for <em>y</em> would give two solutions,

<em>y</em> = ± √(2 - cos(<em>x</em> ²))

but only the one with the positive square root satisfies the initial condition:

√(2 - cos(0²)) = √1 = 1

-√(2 - cos(0²)) = -√1 = -1 ≠ 1

So the unique solution to this DE is

<em>y</em> = √(2 - cos(<em>x</em> ²))

4 0
3 years ago
The circumference A of a circle varies directly with its radius. A circle with a radius of 4 has a circumference of about 25.1 i
horsena [70]

Answer:

25.1 in.2.

Step-by-step explanation:

8 0
3 years ago
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.
Andrews [41]
3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8 

7/8 * 60 mins = 52.50 minutes

t = 1 hour and 52.5 minutes

It took Stu 1 hour and 52.5 minutes to hike the trail one way.
3 0
4 years ago
Read 2 more answers
Suppose a team of doctors wanted to study the effect of different types of exercise on reducing body fat percentage in adult men
Inessa05 [86]

Answer:

<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>

<em>F. The F statistic is 9.2242.</em>

Step-by-step explanation:

Given that

Observations                     Samples                             Total

40-49             10       11              9         9                        39

The degrees of freedom is given by

For numerator= k-1 = 4-1=3

For denominator= n-k= 39-4= 35

F statistic is given by

F= MS between/ MS within

=11.632991 / 1.261143 = 9.2242

Where

Mean Square Between = MS between = 11.632991

Mean Square Within = MS within = 1.261143

<u>Hence the correct choices are  A, C and F</u>

<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>

<em>F. The F statistic is 9.2242.</em>

<em></em>

Suppose we have

Mean Square Between = MS between = 18.632991

Mean Square Within = MS within = 1.261143

Then F statistic would be = 14.77468 > 9.2242

which tells that <em>The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

3 0
4 years ago
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