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Sati [7]
3 years ago
14

PLZ PLZ PLZ help me with this question

Mathematics
2 answers:
Umnica [9.8K]3 years ago
6 0
Take the 40% and turn it into a decimal and 40% in decimal form is 0.40
and then do 
70x0.40=28 
28 is the 40% discount from 70
and then subtract 70 from 28 
70-28=42
therefore the price is now $42 
aalyn [17]3 years ago
3 0
The price would be $42.
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Design a Roller Coaster Portfolio
scoray [572]

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is y=3.57 x

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

m=\frac{\Delta y}{\Delta x}

where

\Delta y is the change in the y-coordinate

\Delta x is the change in the x-coordinate

For the initial climb (pink line), we have:

\Delta y = 250 - 0 = 250\\\Delta x = 70 - 0 = 70

Therefore, the slope in this part is

m=\frac{250}{70}=3.57

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

y=mx \rightarrow y = 3.57 x

3)

Again, to calculate the slope of the hill, we use:

m=\frac{\Delta y}{\Delta x}

where

\Delta y is the change in the y-coordinate

\Delta x is the change in the x-coordinate

For the green hill, we have:

\Delta y = 60-200 = -140

\Delta x = 300-200 = 100

So the rate of change is

m=\frac{-140}{100}=-1.4

4)

As before, the rate of change of the hill is

m=\frac{\Delta y}{\Delta x}

For the blue hill, we have:

\Delta y = 30-230 = -300

\Delta x = 200-60 = 140

So the rate of change is

m=\frac{-300}{140}=-2.1

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

|m| = 1.4

For the blue hill:

|m|=2.1

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

Learn more about functions:

brainly.com/question/3511750

brainly.com/question/8243712

brainly.com/question/8307968

#LearnwithBrainly

5 0
3 years ago
Read 2 more answers
Adrian has 75 coins consisting of quarters and dimes. The combined value of the coins is $10.20. How many of each type of coin d
Sergio [31]

Answer:

40 quarters and 2 dimes

Step-by-step explanation:

I did .25 (the amount of a quarter) and put it into a calculator adding.25 untill I got to 10 and then just 2 dimes bc 10+10 is 20

6 0
3 years ago
The price of a pair of shoes is $28. The sales tax rate is 2.39 percent. What is the total amount you would pay if you bought th
Nadya [2.5K]
0.0239 x 28 = .6692 (this is the amount of tax paid)
shoes + tax = total
$28 + 0.6692 = $28.6692 which rounds to $28.67 (money is always rounded to the hundredths place)
6 0
3 years ago
Read 2 more answers
If f(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%283%2Bx%29%7D%7B%28x-3%29%7D" id="TexFormula1" title="\frac{(3+x)}{(x-3)}
kati45 [8]

Answer:

f(a) = \frac{(a+5)}{(a-1)}

Step-by-step explanation:

Given : f(x) = \frac{(3+x)}{(x-3)}

In order to find f(a+2) we will substitute (a+2) for x in the given function, that is :

f(a) = \frac{(3+a+2)}{(a+2-3)}

f(a) = \frac{(a+5)}{(a-1)}

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3 years ago
Which would be the most suitable viewing window to solve the system below?
Fed [463]

Answer:

d

Step-by-step explanation:

7 0
2 years ago
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