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krok68 [10]
2 years ago
13

Find (fog)(0). f(x) = 6x g(x) = 3x + 6 (fog)(0)

Mathematics
1 answer:
melamori03 [73]2 years ago
3 0

Answer:

12

Step-by-step explanation:

The functions f(x) and g(x) are defined as f(x) = 6x and g(x) = 3x + 6

fog(x) = f(g(x))

= f(3x + 6)

= 6(4x +2)

6 x 4x = 24x

6 x 2 = 12

fog(x) = 24x + 12

(fog)(0) where x = 0

= 24(0) + 12

= 0 + 12

(fog)(0) = 12

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Which of the following is a secant?
taurus [48]

A secant is simply a line that intersects the circle at exactly two points.

Therefore, line GH is a secant of circle

B since it intersects the circle ast 2 points.

4 0
3 years ago
When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
Ksenya-84 [330]

Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.

<h3>What is a domain?</h3>

The whole of the independent variable's possible values makes up the domain of a function.

For the given data we need to find which of the given statements are true.

From option A:

The domain is {4, 8, 11, 15}.

The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.

Therefore, option A is False.

From option B:

An 11-gallon tank would cost $44.00 to fill completely.

From the given table we can see that 11-gallon tank costs $43.45.

Therefore, option B is False.

From option C:

A 9.1-gallon fill-up would cost $35.49.

To find 9.1 gallons we need to find the cost of 1-gallon.

That is, 15.80/4 = $3.95 (Given in the table)

Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49

Therefore, option C is False.

From option D:

A 12-gallon tank would cost $47.40 to fill completely.

We found that 1 gallon is $3.95.

$3.95 x 12 = $47.40

Therefore, option D is True.

Hence, from the given statements option D is True.

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6 0
2 years ago
Find the area of the figure.<br><br> answer choices:<br> 31 ft², 80 ft², 40 ft², 60 ft²
IrinaVladis [17]

Answer:

60 ft²

Step-by-step explanation:

You can divide the figure into 2 parts.

First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²

Then, solve for the triangle:

Height = 10ft - 5ft = 5ft

Base = 12ft - 4ft = 8ft

Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²

Just add them together: 20ft² + 40ft² = 60ft²

:)

3 0
2 years ago
#2 - find the value of X. Write answer in simplest form.
Alekssandra [29.7K]
2 times the square root of 5 . that’s what i got .
5 0
3 years ago
Trapezoid MNPQ is similar to Trapezoid RSTU. What is the length of the "x" on the misside side NP ? Also, what is the length of
ivolga24 [154]

Answer:

x =  15

y =  25

Step-by-step explanation:

Given

See attachment for MNPQ and RSTU

Required

Find x and y

To solve this question, we make use of equivalent ratios of corresponding side lengths.

The ratio of corresponding sides are:

MN : RS

NP : ST

PQ : TU

MQ : RU

From the attachment, we have:

MN : RS \to 18 : 30

NP : ST \to x : 25

PQ : TU \to 15 : y

To solve for x, we equate MN : RS and NP : ST

18 : 30 = x : 25

Express as fraction

\frac{18 }{ 30 }= \frac{x }{ 25}

Make x the subject

x =  25 * \frac{18 }{ 30 }

x =  \frac{25 * 18 }{ 30 }

x =  \frac{450}{ 30 }

x =  15

To solve for y, we equate MN : RS and PQ : TU

18 : 30 = 15 : y

Express as fraction

\frac{18 }{ 30 }= \frac{15 }{ y}

Make y the subject

y = 15 * \frac{30 }{ 18 }

y =  \frac{15 *30}{ 18 }

y =  \frac{450}{ 18 }

y =  25

8 0
3 years ago
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