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GrogVix [38]
3 years ago
10

Please explain how to simplify for g(x) f(x) = 2x + 4 g(x) = f(x + 7)-5

Mathematics
2 answers:
yuradex [85]3 years ago
5 0

Answer:

Step-by-step explanation:

yulyashka [42]3 years ago
3 0

Answer:

ytea

Step-by-step explanation:

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The data in the table represents a company’s profit based on the number of items produced
frutty [35]

Answer:

(A) y= -1.026x^2 + 1016.402x - 162075

Step-by-step explanation:

Here is the options to the question

Which equation best represents the data?

A) y= -1.026x^2 + 1016.402x - 162075

B) y= -1.036x^2 + 1024.771x - 163710

C) y= 298.214x - 66317.667

D) y= 196.2x – 18710

(A) y= -1.026x^2 + 1016.402x - 162075

The data above represents the company's profit based on number of items produced.

To get the equation which best represents the data, we have to substitute the value of x into the given equations  

By substituting x=100 in first equation, we have:

y = -1.02x² + 1016.402x – 162075

y = -1.026(100)² + 1016.402(100) – 162075

y = -70500

y = -70500

Option A satisfies.

Using the second equation  

When x = 100

y = -1.036x^2 + 1024.771x - 163710

y = -1.036(100)² + 1024.771(100) - 163710

y = -10360 + 102477.1 – 163710

y = -71592.9

Option B doesn’t satisfies  

We can also replace the various values of x in the equations to check whether or not they satisfy.

4 0
3 years ago
An author argued that more basketball players have birthdates in the months immediately following July​ 31, because that was the
Lady_Fox [76]

Answer:

There is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same​ frequency.

Step-by-step explanation:

In this case we need to test whether there is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same​ frequency.

A Chi-square test for goodness of fit will be used in this case.

The hypothesis can be defined as:

<em>H₀</em>: The observed frequencies are same as the expected frequencies.

<em>Hₐ</em>: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

 \chi^{2}=\sum{\frac{(O-E)^{2}}{E}}

The values are computed in the table.

The test statistic value is \chi^{2}=128.12.

The degrees of freedom of the test is:

n - 1 = 12 - 1 = 11

Compute the <em>p</em>-value of the test as follows:

p-value < 0.00001

*Use a Chi-square table.

p-value < 0.00001 < α = 0.05.

So, the null hypothesis will be rejected at any significance level.

Thus, there is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same​ frequency.

6 0
3 years ago
HhH. The length of a rectangle is 5 ft more than the width.
Vaselesa [24]

Answer:

Easy, it's A.

5 more can be written as 5+ or +5. W is the width, so 5 more than the width is written as 5+w

5 0
3 years ago
Find the distance between (–3, –5) and (3, 4).
zhenek [66]

Answer:(6,9)

Step-by-step explanation:

4 0
2 years ago
What is the slope of the line that passes through the points (-10, 0) and (-13, 3)? Write your answer in simplest form.
Ket [755]

Answer:The slope of the line that passes through (-10, 0) and (-13, 3) is "-1".

Given points are:

As we know, the formula,

→

By substituting the above points, we get

→                

→                

→                

→                

Thus the solution is right.

Step-by-step explanation:

4 0
3 years ago
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