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3 years ago

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Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restric

tion.
g(f(x))

1 answer:

IRISSAK [1]3 years ago

8 0

Answer:

4x2-7

Step-by-step explanation:

4(x2+2)-1=4x2+8-1=4x2=7

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2. Create a linear function that has a rate of change of 3 and a solution at (6, 12).

Ksivusya [100]

Answer:

$y = 3x - 6$

Step-by-step explanation:

A linear function has the following format:

$y = ax + b$

In which a is the slope(rate of change) and b is the y-intercept, that is, the value of y when x = 0.

Rate of change of 3

This means that $a = 3$

So

$y = 3x + b$

A solution at (6, 12).

This means that when x = 6, y = 12. So

$y = 3x + b$

$12 = 3*6 + b$

$b = -6$

The linear function is:

$y = 3x - 6$

4 0

3 years ago

A theatre ticket costs £37 plus a booking fee of 4%.<br>What is the total price of the ticket?

Studentka2010 [4]

Answer:

£38.48

Step-by-step explanation:

First, we have to find what 4% of 37 is, so our equation is:

37 x 0.04 = 1.48

Then we have to add that 4% to the original cost:

1.48 + 37 = 38.48

So the total price of the theatre ticket is £38.48

6 0

3 years ago

Units of Capacity

marysya [2.9K]

Answer:

$\large\boxed{\large\boxed{0.2deciliter}}$

Explanation:

Build your conversion factors using the conversion table:

$1 cup = 0.237 liters\implies 1=0.237liters/1cup$

From the prefixes used in the metric system, you know that 1 deciliter = 0.100 liters. Then:

$1 deciliter = 0.100 liters\implies 1=1deciliter/0.100liters$

Arrange the expression to simplify the units and convert from cups to deciliters:

$9cups\times 0.237liters/cup\times 1deciliter/0.100liters=0.2133deciliter$

Round to the nearest tenth: 0.2 deciliter.

4 0

3 years ago

Read 2 more answers

Please solve with explanation

Juliette [100K]

Step-by-step explanation:

$4\frac{9}{20} - 1\frac{2}{6} =\\\frac{89}{20} - \frac{8}{6} = \frac{89 - 26.7}{20} = \frac{62.3}{20} \\$

$4\frac{6}{9} - 3\frac{3}{6} =\\\frac{42}{9} - \frac{21}{6} = \frac{252 - 189}{54} = \frac{63}{54} = 1\frac{9}{54}$

$2\frac{2}{4} - 1\frac{1}{3} =\\\frac{10}{4} - \frac{4}{3} = \frac{30 - 16}{12} = \frac{14}{12} = 1\frac{2}{12}$

8 0

4 years ago

Read 2 more answers

Can someone help me with this question, please. The problem is attached.

fomenos

It is a reflection across the y axis, then a translation to the right 2 units.

I hope this helps! If you have more you want help with I can help.

3 0

3 years ago