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Lelu [443]
3 years ago
12

Given: f(x)=x^(2)-3 and g(x)=x+1 the composite function g*f is

Mathematics
2 answers:
Ivenika [448]3 years ago
8 0

Answer:

<h2>x³ + x² - 3x - 3</h2>

Step-by-step explanation:

I'm assuming g*f means g times f,  so you want to multiply the two functions together.  

(x² - 3)(x + 1)                 Since the product is 2 binomials, use FOIL

                      =  x²(x) + x²(1) - 3(x) - 3(1)

which simplifies to

<h2>x³ + x² - 3x - 3</h2>
qaws [65]3 years ago
4 0

Answer: x³ + x² - 3x - 3

Step-by-step explanation:

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Btw John makes 9$ an hour and amber makes 8$ an hour. REMEMBER TO ANSWER IN MINUTES NOT HOURS.
yarga [219]
Hello there! Provided the information, we know that the nearest multiple of 8 and 9 has to be greater than 50. 8 and 9 do not go into 50.

$9 • 6 hours = $54

$8 • 7 hours = $56

There are 60 minutes in an hour, so we can multiply accordingly:

60 minutes • 6 hours = 360 minutes

60 minutes • 7 hours = 420 minutes

Your final answers are:

It will take John 360 minutes to earn $50.

It will take Amber 420 minutes to earn $50.

(P.S. It takes Amber one more hour to earn $50 than it does for John to earn $50.)

Hope this helps!
8 0
2 years ago
Write the slope-intercept form of the equation of the line; (-5,-4) and prep. To y equals 5x plus 1
ohaa [14]

Answer:

y=-\frac{1}{5} x-5

Step-by-step explanation:

The given line is defined by:  y=5x+1, where we see that the slope is 5 and the y-intercept 1.

In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.

"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal: \frac{1}{5}.

We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

y=-\frac{1}{5} x+b

we require then that when x=-5, the value of y=-4.

Therefore: -4=-\frac{1}{5} (-5)+b\\-4=\frac{5}{5} +b\\-4=1+b\\b=-4-1=-5

Then our final answer is that the new line should have the form: y=-\frac{1}{5} x-5

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3 years ago
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Paha777 [63]
The graph would shift 5 units left and 3 units up.
3 0
3 years ago
2. State if the following is an observational study, a survey, or an experiment, and give a reason for your answer.
omeli [17]

Answer:

If Ken wants to compare how many hours a week sixth graders spend doing mathematics homework to how many hours a week that eleventh graders spend doing mathematics  homework and randomly selects ten sixth graders and ten eleventh graders and records how many hours each student spent on mathematics homework in a certain week then this is an observational study.

Step-by-step explanation:

An observational study depends on the data set statistical analysis, researchers do not manipulate any variable to reach conclusions. They design question-measurement to collect information without trying to affect their answers.

A survey is part of an observational study  assessed on a sample population through controlled sample questions to collect specific data asking determined people and the response variable is the number of correct answers collected which are not influenced either.

In a controlled experiment, the researcher manipulates the sample population grouping people to assign them with some treatment or to do an specific task. Different groups are formed and assigned with different tasks to get the information wanted or to know proportion of the population in certain task.

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3 years ago
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Answered by London
7 0
3 years ago
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