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ANTONII [103]
3 years ago
10

Beth’s annual salary is $20,000. She also earns a variable percent commission on her sales over $500. The percent commission var

ies on the amount of her sales. If p(x) represents Beth’s percent commission, and f(x) = x − 500, is her amount of sales, which expression represents the commission she earns?
A) p(f(x))
B) f(p(x))
C) p(x) + f(x)
D) p(x) − f(x)
Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Here, we want to select the option that best describes the commission earned;

In the question, we are told that the commission is a certain percentage variable on the amount of her sales;

Thus , mathematically to get the percentage commission, we simply need to have;

p(x) of f(x)

This simply refer to placing f(x) into p(x) which can be rewritten as ;

p o f(x)

The closest answer to this is the first option A

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The cup, on the 9th hole of a golf course, is located, dead center, in the middle of a circular green, which is 35 feet in radiu
ale4655 [162]

Answer:

± 27.33 ft

Step-by-step explanation:

For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:

(-50-0)/(-40-0) = 50/40 = 1.25

Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.

Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);

-0.8 = y/x

y = -0.8x

Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:

35^2 = x^2 + y^2

y = -0.8x

35^2 = x^2 + (-0.8x)^2

1225 = (x^2 + 0.64x^2)

1225 = 1.64x^2

x^2 = 1225/1.64 = 746.95

x = sqrt(746.95) = ± 27.33 ft

5 0
3 years ago
This table shows the results of a survey that asked a group of people what time of day their favorite TV show aired. What time c
irina1246 [14]

Based on the table (see attachment), the time which corresponds to the mode of this data set is: B. 9:00 P.M.

<h3>What is mode?</h3>

A mode simply refers to a statistical term that is used to denote the value that appears most often or occurs repeatedly in a given data set.

This ultimately implies that, a mode represents the value (number) with the highest frequency and this is 9:00 P.M with a frequency of 25.

Read more on mode here: brainly.com/question/542771

#SPJ1

6 0
2 years ago
Help me please, thank you! :)
EastWind [94]

Answer:

It's 16 units. Just look at the lengths and how many times they are on a shape. The shape is a rectangle, which means there will be two of each length, so just add them all together. 6+6+2+2=16

6 0
3 years ago
Write the coordinate of the intercept
Basile [38]

Answer:

m = 2/3

y-intercept: 2

Explanation:

First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.

This equation should be in the form: Ax + By = C (Standard form)

y = -Ax/B + C/B : y = mx + b (Slope intercept form)

2(6y - 4x) = 24 → 12y - 8x = 24

→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>

<u>8</u>x <u>- 12</u>y = <u>-24</u>

| | |

A B C

Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.

8x - 12y = -24

-8x -8x

(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)

-12y = -8x - 24

×-1 ×-1 ×-1

(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)

12y = 8x + 24

(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)

8 0
2 years ago
A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after
PtichkaEL [24]

Answer:

Step-by-step explanation:

We can do this the easy way and just set up an inequality and let the factoring do the work for us. The inequality will look like this:

-16t^2+112t>192 We will move the constant over and get

-16t^2+112t-192>0 and when you factor this you get that

3 < t < 4

Between 3 and 4 seconds is where the projectile reaches a height higher than 192 feet. With a little more work and some calculus you can find the max height to be 196 feet.

5 0
3 years ago
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