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saul85 [17]
4 years ago
14

The one-to-one functions g and h are defined as follows.

Mathematics
1 answer:
never [62]4 years ago
3 0

Answer:

g^−1(7) = 6

h^−1(x) = x/2 + 3/2

(h^−1 ∘ h)(3) = 3

Step-by-step explanation:

If

g(6) = 7

Then

g^−1(7) = 6

h(x) = 2x - 3

Isolate x:

2x = h(x) + 3

x = h(x)/2 + 3/2

Replace x with h^−1(x) and h(x) with x:

h^−1(x) = x/2 + 3/2

We know that:

(h^−1 ∘ h)(x) = x

then:

(h^−1 ∘ h)(3) = 3

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Quiz 3
erica [24]

Complete question :

The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?

Answer:

B

Step-by-step explanation:

BOX plots provide information about :

Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.

Given the dataset :

24, 25, 29, 30, 31, 31, 32, 34, 34

Minimum value = 24 (Lowest value in the dataset)

First quartile (Q1) = 1/4(n+1)th term

Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27

Second quartile ; median (Q2) = 1/2(n+1)th term

Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31

Third quartile (Q3) = 3/4(n+1)th term

Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33

Maximum value = 34 (Highest value in the dataset)

First dot = minimum value

Last dot = maximum value

First line of box = QI

mid line = median

End line of box = Q3

4 0
2 years ago
If m∠D + m∠E = 180°, then ∠D and ∠E are classified as what kind of angles?
Archy [21]
The other person is literally wrong. The answer is D. Supplementary because two angles that add up to 180 are supplementary angles.
3 0
2 years ago
A group of three friends order a combo meal which includes two slices of pizza and a drink. Each drink is priced at $2.50. If th
Fittoniya [83]

Answer:

Step-by-step explanation:

2.5(3)

31.5-(2.5*3)

31.5-7.5

24/3=8

$8 per slice

6 0
3 years ago
I need to solve these problems.
Tatiana [17]
6)Not regular
7)regular
8)720
9)360
10)153.3
8 0
3 years ago
Read 2 more answers
Sandeep has twice as much as sonia. together they have rs 150. how much money does sonia have.
Nimfa-mama [501]

It says Sandeep has twice as much as Sonia. Thus, let Sandeep's amount be 2x and Sonia's amount be x.

Now, together they have 150.

Thus, the equation;

x+2x=150

Now let's solve the equation;

3x=150

x=150/3

x=50

Thus, Sonia has 50

6 0
3 years ago
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