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3 years ago

A surf instructor has an initial fee of $12 and charges $8

Mathematics

1 answer:

Nataliya [291]3 years ago

7 0

Given:

A surf instructor has an initial fee of $12 and charges $8 per hour for lessons.

To find:

The y-intercept and its location on the graph.

Solution:

Initial fee = $12

Variable fee = $8 per hour.

Let the total fee be y for x hours. Then,

$y=12+8x$

Put x=0, to find the y-intercept.

$y=12+8(0)$

$y=12+0$

$y=12$

Therefore, the y-intercept is 12.

Table of values for $y=12+8x$ ,

x y

0 12

-1 4

Plot (0,12) and (-1,4) on a coordinate plane and connect them by a straight line.

Clearly, the y-intercept is located at (0,12).

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Can someone help please

Trava [24]

9514 1404 393

Answer:

16.4

Step-by-step explanation:

The law of cosines is useful here. It tells you ...

b^2 = a^2 + c^2 -2ac·cos(B)

b^2 = 22^2 +10^2 -2·22·10·cos(44°)

b^2 ≈ 267.49

b ≈ √267.49 ≈ 16.35514

b ≈ 16.4

4 0

3 years ago

What’s (2.5,6) dilated by a scale factor of 2?

vodka [1.7K]

Answer:(5,12)

Step-by-step explanation: 2.5 x 2= 5

6 x 2= 12

3 0

3 years ago

Match each transformation of function f to a feature of the transformed function.

andrezito [222]

By analyzing the parent function graph, we will see that:

1) m(x) = -f(x) ⇒ "function decreases as x increases"
2) h(x) = f(x) + 2 ⇒ "asymptote of y = 2"
3) j(x) = f(x + 2) ⇒ "y-intercept at (0, 4)"
4) g(x) = 2*f(x) ⇒ "y-intercept at (0, 2)"

<h3>What thing does each transformation?</h3>

Let's list each transformation and let's see which is the correct option for each one.

1) m(x) = -f(x).

This is a reflection over the x-axis, so, now the curve will open downwards. This means that now we have a decreasing function, so the correct option here is: <em>"function decreases as x increases"</em>

2) h(x) = f(x) + 2

This is a vertical translation of 2 units upwards. So it moves the whole graph 2 units upwards. Originally, you can see that in the left side we have an asymptote at y = 0, now that asymptote will be at y = 2.

So the correct option is: <em>"asymptote of y = 2.</em>

3) j(x) = f(x + 2)

This is a shift of 2 units to the left, notice that when we evaluate this in x = 0 we et:

j(0) = f(2) = 2^2 = 4

So the y-intercept os (0, 4).

4) g(x) = 2*f(x)

This is a vertical stretch of scale factor 2.

When we evaluate this in x = 0, we get:

g(0) = 2*f(1) = 2

So the y-intercept is at (0, 2).

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

6 0

2 years ago

In the figure, m ll n. If the measure of angle 8 is (4x +7) and the measure of angle 2 is 107 degrees, what is the value of x? E

Archy [21]

Given:

$\begin{gathered} m\angle8=4x+7 \\ m\angle2=107 \end{gathered}$ $\begin{gathered} 4x+7+107=180\degree \\ 4x+114=180 \\ 4x=180-114 \\ 4x=66 \\ x=16.5 \end{gathered}$

3 0

1 year ago

If the reciprocal of the number $X$ equals $\frac{2}{7}$, what is $5$ divided by $X$?

grigory [225]

U can find the reciprocal of a number by flipping the number.
example : the reciprocal of 1/5 is 5/1....the reciprocal of 2/3 = 3/2.

the reciprocal of x = 2/7.....that means x = 7/2

5 / (7/2) = when dividing fractions, flip what u r dividing by, then multiply
5 * 2/7 =
10/7 or 1 3/7 <==

5 0

3 years ago