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umka2103 [35]
2 years ago
3

The graph of g(x) shown below resembles the graph of f(x)=x^4-x^2 but it has been changed somewhat which of the following could

be the equation of g(x)

Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

We are given function f(x) = x^4 - x^2.

We need to find the equation of function g(x) according to shown graph.

We can apply rules of transformation to get the function g(x) by using given graph.

Function g(x) graph is being shift a half or 0.5 units up of the graph f(x).

<em>When graph shift k units up, we add k to given function.</em>

<em>Where k is some constant.</em>

In the graph f(x) is being shifted 0.5 units up.

So, we would add 0.5 in f(x) = x^4 - x^2 function.

On adding 0.5 we get

<em>g(x) = f(x)+0.5 = = x^4 - x^2 +0.5.</em>

<h3>Therefore, correct option is second option.</h3><h3>g(x) =  x^4 - x^2 +0.5.</h3>
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E. P(W | H)

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P(H|W): Probability of a win being at home.

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This is the probability of winning a home game. So the answer is:

E. P(W | H)

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What is the area of a circle with a radius of 9.4cm
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max and some friends shared the cost of a meal. The meal cost $51 and each person contributes $17. How many people share the cos
stiv31 [10]

Answer:

3 people

Step-by-step explanation:

$51/$17 = 3 people

- We know to start with $51 dollars because that is the total price of the meal.

- We also know each meal costs $17.

- Next, ask youself what we are trying to find? We are trying to find how many people are eating.

- Therefore to find that we need to take our starting amount $51 divided by $17 because that is the cost of 1 meal.

- $51/$17 = 3 people (whole cost/individual cost = # of people)

- To check this take 3 x 17 = 51 (Now we know it is correct)

- If you would like a further explanation please let me know.

5 0
2 years ago
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing
andreyandreev [35.5K]

Answer:

A bag of pop corn costs $8, and each Pretzel costs $4.25.

Step-by-step explanation:

Let b be the price of popcorn, and p the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation

2b+5p=37.25  <em>(this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25)</em> .

And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation

8b+9p=102.25<em> (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).</em>

Thus, we have two equations

1. 2b+5p=37.25

2. 8b+9p=102.25

and we solve them by first multiplying equation (1) by 4:

4(2b+5p=37.25 )\rightarrow (8b+20p=149),

and then subtracting it from equation (2):

\:\:\:\:\: 8b+9p=102.25\\-(8b+20p=149)\\\line(1,0){3 cm}\\-11p=-46.75\\\\\boxed{p=\$4.25}

Now we put this value of p into equation (1) and get:

2b+5(4.25)=37.25

and we solve for b to get:

2b=37.25-21.5

\boxed{ b=8}

Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.

8 0
2 years ago
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