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sergey [27]
2 years ago
14

Which relation is a function?

Mathematics
1 answer:
tresset_1 [31]2 years ago
7 0

Answer: It is the top right one.

Step-by-step explanation: That one passes the vertical line test. A function can't have any points that have the same x-coordinate.

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Julie makes and sells shirts for children and adults. She sells the shirts for $20 per unit. Material for
Alisiya [41]

Answer:

Julie need to sell at least 45 shirts to break even.

Step-by-step explanation:

The  selling cost of each shirt = $ 20

Cost of each shirt = $6

The fixed cost per month = $420

Number of shirts she can make = 80

Hence, the <u>cost of making 80 shirts</u> =  80 x $6  = $480

So, her total capital investment of the month

= Cost of shirts made + Fixed cost = $420 + $480 = $900

Now, let us assume she sell k number of shirts.

⇒ $20 x k  = $900

or, k = 900 / 20 = 45

or, k = 45

Hence, Julie need to sell at least 45 shirts to break even.

6 0
3 years ago
The linear function y = 7x + 2 represents the cost y, in dollars, of buying x tickets, including a one time service fee. What do
dolphi86 [110]

Answer:

x^5y+4x+4y+2

Step-by-step explanation:

Fact, ^ is called an exponet

(Just so you know)

4 0
3 years ago
A number decreased by 14 is equal to 18. What is the number?
Sunny_sXe [5.5K]
The correct answer is 32 because:

x-14 = 18 => add 14 to both sides=>

x=32
3 0
3 years ago
Mr. Johnson's lunch bill is $29.90, which includes a 15% tip. What is the price before the tip?
mr_godi [17]

Answer: it’s 26

Step-by-step explanation:

29.90 divided by 1.15= 26

8 0
3 years ago
Can someone help me for this question please? I just keep getting wrong answer! Pls someone explain to me step by step! ASAP!!!
Kobotan [32]

Answer:

  84 feet

Step-by-step explanation:

This problem involves several steps. The first step is to realize that the given figure does not show the required number of vertical stringers. It shows 5, but there will be 7 of them. The given diagram is helpful in that it shows a vertical stringer on the centerline of the arches.

The second step is to write a function that will tell you how long the stringer will be. I find it convenient to write the equation for an arch shape such as this using the parent function h(x) = 1-x^2. This parent function gives an arch of height 1 and width 1 from center (a total width of 2). You want an arch that is 16 ft high and 40 ft wide (one side from center), so you must scale this parent function both horizontally (by 40) and vertically (by 16). It becomes ...

  H(x) = 16(1 -(x/40)^2)

The taller arch is twice this height, so the length of a vertical stringer at position x is

  vertical length = 2H(x) -H(x) = H(x)

That is, the function H(x) we defined can be used to find the length of the stringers.

The third step is to find the stringer lengths. It can save some energy if you realize that the problem is symmetrical, so that the stringer at x=-30 is the same length as the one at x=30. We need to find stringer lengths every 10 feet from -40 feet to +40 feet. Of course, the ones at ±40 feet are zero length, because that is where the two arches meet.

  H(-30) = 16(1 -(3/4)^2) = 7

  H(-20) = 16(1 -(1/2)^2) = 12

  H(-10) = 16(1 -(1/4)^2) = 15

  H(0) = 16

Then the fourth step is to add up the stringer lengths, rounding the result as required.

  7 +12 +15 +16 +15 +12 +7 = 16 + 2(34) = 84 . . . . feet (no rounding needed)

Finally, you need to answer the question asked:

  The sum of vertical stringer lengths is 84 feet.

5 0
3 years ago
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