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3 years ago

Solve vertex form out О=x^2 -4x -12

Mathematics

1 answer:

pochemuha3 years ago

3 0

Answer: (2,-16)

Step-by-step explanation: you have to rewrite it by using the vertex form (h,k)

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The table shows the relationship between two variables. which selection describes the relationship?

Liula [17]

Answer:

The relationship between two variables is decreasing and linear.

Step-by-step explanation:

From the given table it is notice that the function passing through the points (1,5), (2,-1), (3,-7) and (4,-13).

Slope of the function between first two points (1,5) and (2,-1) is

$m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{2-1}=-6$

Slope of the function between last two points (3,-7) and (4,-13) is

$m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-13+7}{4-3}=-6$

The rate of change or slope of the function is constant.

From the given table it is noticed that the values of y decreased by 6 units as the values of x increased by 1 units.

Since the rate of change constant and negative, therefore the relationship between two variables is decreasing and linear.

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3 years ago

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An ordinary Fair die is a cube with the numbers 1 through 6 on the sides represented by painted spots imagine that such a die is

Hoochie [10]

Answer: Probability of, Event A = 5/18

Event B = 1/2

Step-by-step explanation:

Since, The probability of an event = Number of outcomes of the event/ total number of outcomes.

Since, If a fair dire rolled two times then the total number of outcomes, n(S) = 6 × 6 = 36

And, Event A: The sum is greater than 8.

So, possible outcomes are, ( 3,6), (4,5), (4,6), (5,5), (5,6), (5,4), (6,6), (6,5), (6,4), (6,3)

Thus, n(A) = 10

Since, Probability of event A,

P(A) = n(A)/n(S) = 10/36 = 5/18

Therefore, P(A)= 5/18

Now, Event B: The sum is an even number.

So, possible outcomes are, (1,1),(1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,6), (4,2), (4,4), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)

Thus, n(B)= 18

Since, Probability of event B,

P(B)= n(B)/n(S) = 18/36 = 1/2

Therefore, P(B)= 1/2

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2 years ago

Alisha has sixty-seven dollars and thirty one cents in her checking account. She wrote a check for ninety-one dollars and fifty-

grin007 [14]

-24.22 will be overdrawn in Alisha checking account

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3 years ago

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Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation

Anestetic [448]

Answer:

27 hours

Step-by-step explanation:

Just do the reverse. 65-11 = 54. 54 / 2 = 27.

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2 years ago

What is the likelihood that the children in square 2 will have earlobes that are not attached?

notka56 [123]

Answer : 2/4 children will have earlobes that are not attached

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