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kiruha [24]
3 years ago
8

For which value of X is the row in the table of values incorrect? The function is the quadratic function Y=3/4x^2

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

The row with x = 2 and y = 4 is incorrect. The y value should be y = 3 when x = 2.

==============================================================

Explanation:

Fractions can be a bit of a pain, so I'm going to be converting to decimal form to help with the computation; however, I will convert the y value results to mix number form so that it matches what the table shows.

Keep in mind that 3/4 = 0.75 when you use a calculator or long division. So a number like 2.75 means 2 & 3/4 (two and three quarters)

---------------

Let's check the first row. Plug in x = 0 and it leads to...

y = (3/4)*x^2

y = (3/4)*0^2

y = (3/4)*0

y = 0.75*0

y = 0

This shows us that row 1 is correct. When x = 0, y = 0 leading to (x,y) = (0,0).

-------------

Repeat the same basic outline of steps, but now use x = 2

y = (3/4)*x^2

y = (3/4)*2^2

y = (3/4)*4

y = 0.75*4

y = 3

So instead of 4, the proper y value is y = 3 when x = 2. This means row 2 is the answer (the row that has the incorrect values).

-------------

For the sake of completeness, let's see if the third row is correct or not. Plug in x = 3

y = (3/4)*x^2

y = (3/4)*3^2

y = (3/4)*9

y = 0.75*9

y = 6.75

y = 6 & 3/4

We see that x = 3 points to y = 6 & 3/4, so we have the correct values in this row. We can cross this off the list of choices.

-------------

Finally, let's check x = 5

y = (3/4)*x^2

y = (3/4)*5^2

y = (3/4)*25

y = 0.75*25

y = 18.75

y = 18 & 3/4

We get the proper y value. So we can also cross this off the list.


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Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the proba
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Question:

A = {2, 3, 4, 5}

B = {4, 5, 6, 7, 8}

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?

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Answer:

Option B: 0.20 is the probability of the sum of the two integers.

Explanation:

The sample space for selecting 2 numbers is given by

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We need to determine the probability that the sum of two integers will be equal to 9.

Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.

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The probability that the sum of the two integers will equal 9 is given by

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There are only chickens and pigs in Henry's Barn Henry counted a total of Sixteen animal heads and a total of 50 animal feet.How
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Answer:

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Step-by-step explanation:

We have the following numbers of heads:

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And the following numbers of feet:

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From equation (1):

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I hope it helps you!  

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Step-by-step explanation:

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Answer:

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