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Pavel [41]
2 years ago
14

The table shows the outputs y, for different inputs ,x

Mathematics
1 answer:
faust18 [17]2 years ago
6 0

Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.

(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.

Part B: All we have to do is plug in 11 for x in the function given to find the answer:

In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.

Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:

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Please help me, the attachment is below. (If you don't know the answer to the question please don't answer)
Phantasy [73]

Answer:

Step-by-step explanation:

The three angles of a triangle always have to equal 180 in the end, so if you use the method which is the 4 in this instance, it is an obtuse angle that is equal to the top and left angle. You can add 1 and 2 to get 4, and do 4-3 to get 1+2, So, 4=1+2.

7 0
3 years ago
Use the formula d = ( r − c ) t to find c if d = 6 , r = 4 , and t = 2 . c=
Minchanka [31]

First, we are going to want to plug in the values we are given. In this case, we will end up with the equation:

6 = (4 - c) 2


From here, we can solve the equation to find c:

6 = 2(4 - c)

  • Apply the commutative property to rearrange the terms on the right-side of the equation to make the distributive property more apparent

6 = 8 -2c

  • Apply the distributive property

-2 = -2c

  • Subtract 8 from both sides of the equation

1 = c

  • Divide both sides of the equation by -2

We have found that c = 1.

7 0
3 years ago
A bee flies 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for fifteen minutes. Then i
Ksenya-84 [330]

A. The equation to find the distance of the flowerbed from the hive is: \frac{x}{20}+\frac{x}{12}+900= 1200 , where x is the distance.

B.  The flowerbed is 2250 feet far from the hive.

<u><em>Explanation</em></u>

Suppose, the distance of the flowerbed from the hive is x feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, Time=\frac{Distance}{Speed}

So, the time taken by the bee to reach the flowerbed = \frac{x}{20} seconds and the time taken to fly back to the hive =\frac{x}{12} seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250

Thus, the distance of the flowerbed from the hive is 2250 feet.

5 0
3 years ago
Could someone help me step by step with this question?
a_sh-v [17]
\frac{2}{3}(9+x)=-5(4-x)  \\ \\   3*\frac{2}{3}(9+x)=3*[-5(4-x)]  \\ \\ 2(9+x)=-15(4-x)  \\ \\ 18+2x=-60+15x  \\ \\ -13x=-78  \\ \\  \cfrac{-13x}{-13} = \cfrac{-78}{-13} \\ \\  x=6
7 0
3 years ago
A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?
AnnyKZ [126]
Here,
cost of 18 ounce container of peanut butter = $3.28
cost of 1 ounce container of peanut butter = $3.28/18
                                                                    =$0.182
7 0
3 years ago
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