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sladkih [1.3K]
3 years ago
6

Which of the following absolute value functions fits the graph shown above?

Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

  f(x) = -|x -2| +1

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

translates the function f(x) so that the point on its graph (0, f(0)) is moved to the location (h, k) on the graph of g(x).

The vertex of the "upside down" absolute value function f(x) = -|x| is (0, 0). In your graph, that point has been moved to (h, k) = (2, 1). So, the transformed function is ...

  f(x) = -|x -2| +1 . . . . matches the last choice

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David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
vichka [17]

Answer:

$60

Step-by-step explanation:

3x20=60

3 0
3 years ago
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Choose the equation and the inequality needed to answer this question.
Flauer [41]

Answer:

Actually, what you said you have so far is not correct.  The 2 correct answers are the 1st one (x + y = 15) and the 5th one (15x + 10y > 180)

Step-by-step explanation:

If tutoring French is x hours and scooping ice cream is y hours and he is going to work 15 hours for sure doing both, then we can add them together to get that x hours + y hours = 15 hours, or put simply:  x + y = 15.

Now we are going to throw in the added fun of the money he makes doing each.  The thing to realize here is that we can only add like terms.  So looking at the equation above, we have x hours of tutoring and y hours of scooping, so if we want to add them, we will add those number of hours together to get the total number of hours he worked, which we know to be 15.  The same goes for money.  If we add money earned from tutoring to money earned from scooping, we need that to be greater than the money he wants to earn which is 180 at least.  Because he wants to earn MORE than $180. we use the ">" sign.  Since he earns $15 an hour tutoring, that expression is $15x; since he earns $10 an hour scooping, that expression is $10y.  Now add them together (and you CAN because they are both expressions relating dollars to dollars) and set the sum > $180:

$15x + $10y > $180.  That's why your answer is not correct.  Use mine (with the understanding that you care about why yours is wrong and mine is correct) and you'll be fine.

5 0
3 years ago
An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.
katrin [286]

Answer:

20,475\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

n=28\\r=4

substitute

C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}

simplify

C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}

C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}

C(28,4)=20,475\ ways

5 0
3 years ago
When this 3-digit number is rounded to the nearest hundred, it rounds to 200.  Rounded to the nearest ten, this number rounds to
alisha [4.7K]
199, it rounds to 200 because it's closer to 200 than 100. It is also closer to 200 than to 190. And finally, 1 + 9 + 9 = 19
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3 years ago
What of the following best describes the shape of the graph​
Assoli18 [71]

Answer:

I have no idea

Step-by-step explanation:

This question doesn't have enough information for me to answer it.

7 0
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