MATHEMATICS HIGH SCHOOL

Given the function rule f(x) = x^2 - 3x + 2, what is the output of f(-2)

Answers

Answer 1
Answer:

Answer:

The output value of f(-2) is, 14

Step-by-step explanation:

Given the function:

f(x) = x^2-3x+2             ......[1]

We have to find the output of f(-2).

Substitute x = -2 in [1] we have;

f(-2) = (-2)^2-3(-2)+2

⇒f(-2) = 4+6+2

Simplify:

f(-2) = 12

therefore, the output value of f(-2) is, 12
Answer 2
Answer: f(-2) = -2 ^ 2 - 3 * -2 + 2
f(-2) = 4 - (-6) + 2
f(-2) = 10 + 2
f(-2) = 12

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If there is an 80% chance of rain and a 50% chance of wind and rain, what is the probability that it is windy, given that it is rainy? Round your answer to the nearest percent.

Answers

Answer:

The probability that it is windy, given that it is rainy is:

                             62.5%≈63%

Step-by-step explanation:

Let A denote the event that it will rain.

B denote the event that it is windy.

A∩B denote the event that it is rainy and windy.

Let P denote the probability of an event.

i.e. we have:

P(A)=0.80

( Since there are 80% chance of rain)

P(A∩B)=0.50

(Since there are 50% chance of wind and rain)

We are asked to find:

P(B|A)

We know that:

P(B|A)=(P(A\bigcap B))/(P(A))\n\n\nP(B|A)=(0.50)/(0.80)\n\n\nP(B|A)=0.625

Hence, the probability in percent is:

                   62.5%≈63%
The total probability when given it is rainy is 80%. Among them, the windy probability among 80% is 50%. So the total probability is 50%/80%=62.5%≈63%.

Given the function f(x) = x2 and k = 3, which of the following represents the graph becoming more narrow? A. f(x)+kB. kf(x)
C. f(x+k)
D. f(x-k)

Answers

The only type of transformation that can make a graph more narrow/wide is a scaling transformation. A scaling transformation involves a multiple factor. The answer to your question is B. I hope that this is the answer that you were looking for and it has helped you.

Answer:

The following which represents the graph becoming more narrow is:

                    B.    kf(x)

Step-by-step explanation:

We are given a parent function f(x) as:

          f(x)=x^2

and k=3

Now, we know that the transformation of the type:

          f(x)+k

shifts the graph of the function k units upward while there is no change in the shape of graph.

Similarly the transformation f(x+k) and f(x-k) shifts the graph of the original function k units to the left and  k units to the right but odes not change the shape of the function.

            Hence, the answer is:

                      B.    kf(x)

   Since, the  transformation is a vertical compression and the graph becomes more narrow.

Write out the equation of 34 times the difference between a number and 41 is equal to the number plus -99

Answers

Equation:
34 × (n - 41) = n + (-99)

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c. What is the limiting velocity vL after the parachute opens?
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e. Plot the graph of velocity versus time from the beginning of the fall until the sky diver reaches the ground.

Answers

I found that the seeds are being big

If R and S are two points in the plane, the perpendicular bisector of is the set of all points equidistant from R and S.A. True
B. False

Answers

The Meaning of term ,  perpendicular bisector, is that it divides the line segment into two congruent parts.

and Secondly if you will take any point on the perpendicular bisector ,it will be equidistant from both the points for which you have drawn perpendicular bisector.

So, if R and S are two points in the plane, the perpendicular bisector of is the set of all points equidistant from R and S.

So, the given statement is True Statement.

Answer:

True

Step-by-step explanation:

I took the A-P-E-X Quiz

Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.        A. 28 in.   B. 56 in.   C. 44 in.   D. 88 in.

Answers

I hope this helps you
175.92918845 is what i got so idk i am sorry
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