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Jobisdone [24]
3 years ago
12

In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0

Answer:

When x = 1, (f◦g)(x) is -2.

Step-by-step explanation:

Composite function:

The composite function of f and g is given by:

(f \circ g)(x) = f(g(x))

In this question:

f(x) = x - 3, g(x) = x^2

Composite function:

The composite function is:

f(g(x)) = f(x^2) = x^2 - 3

At x = 1

(f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2

So

When x = 1, (f◦g)(x) is -2.

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What is 7 1/8 times 2 5/6
Otrada [13]

Answer:

20 and 3/16

Step-by-step explanation:

Answer:

578×176=20316

Solution with Steps

578×176=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

57×178×6=96948

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 969 and 48 using

GCF(969,48) = 3

969÷348÷3=32316

The fraction

32316

is the same as

323÷16

Convert to a mixed number using

long division for 323 ÷ 16 = 20R3, so

32316=20316

Therefore:

578×176=20316

Solution by Formulas

Apply the fractions formula for multiplication, to

578×176

and solve

57×178×6

=96948

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(969,48) = 3

969÷348÷3=32316

Convert to a mixed number using

long division for 323 ÷ 16 = 20R3, so

32316=20316

Therefore:

578×176=20316

7 0
3 years ago
Warren, a golf fan, was curious about how often professional golfers make successful putts from various distances. He looked at
anzhelika [568]

Answer:

Explained below.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.  

Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.

It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.

This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.

4 0
3 years ago
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If an ambulance has an average speed of 0.83 miles per minute and an average response time of 8 minutes, what is the average dis
Mrac [35]

Answer: The average distance the ambulance travels to reach an emergency situation is 6.64 miles.

Step-by-step explanation:

Hi, to answer this question we have to apply the speed formula:

Speed rate = distance / time  

Replacing with the values given:

0.83 miles per minute  = d / 8 minutes

Solving for d (distance)

0.83 mpm x 8 m =d

d =6.64 miles

The average distance the ambulance travels to reach an emergency situation is 6.64 miles.

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
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Answer:

a  c e

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