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3 years ago

Look at picture y=_the height of the baseball after 5 seconds is ___ feet

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

Answer:

y = -2(x -3)² +24
16 feet

Step-by-step explanation:

We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...

y = a(x -3)² +b

Filling in the values from the first two table points, we get

For (x, y) = (0, 6):

6 = a(0 -3)² + b ⇒ 9a +b = 6

For (x, y) = (2, 22):

22 = a(2-3)² +b ⇒ a +b = 22

Subtracting the second equation from the first gives ...

(9a +b) -(a +b) = (6) -(22)

8a = -16 . . . . . . collect terms

a = -2 . . . . . . . . divide by 8

The second equation above tells us ...

b = 22 -a = 22 -(-2) = 24

So, our equation for y is ...

y = -2(x -3)² +24

The value of y for x=5 is ...

y = -2(5 -3)² +24 = 16

The height of the ball after 5 seconds is 16 feet.

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Step-by-step explanation:

<h3>Proposition:</h3>

Let the diagonals AC and BD of the Parallelogram ABCD intercept at E. It is required to prove AE=CE and DE=BE

<h3>Proof:</h3>

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$\displaystyle \angle DAC = \angle ACB \\ \ \qquad [\text{ alternate angles theorem}]$

2)The lines AB and DC are parallel and BD their transversal therefore,

$\displaystyle \angle BD C= \angle ABD \\ \ \qquad [\text{ alternate angles theorem}]$

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3 years ago

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sergey [27]

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3 years ago

Solve the equation. startfraction 2 x plus 1 over x minus 2 endfraction plus startfraction 4 over x endfraction equals startfrac

vovangra [49]

<h3>Answer:</h3>

x = -5/2

<h3>Explanation:</h3>

<u>Given</u>

(2x+1)/(x-2) + 4/x= -8/(x^2-2x)

<u>Solution</u>

We note that the denominators in this equation are x and x-2. The solution set must exclude these values, as the equation is "undefined" for those values of x.

Multiply by x(x-2)

x(2x+1) +4(x-2) = -8

2x² +5x = 0 . . . . . . . . . . add 8, eliminate parentheses

x(2x +5) = 0

The solutions are the values of x that make these factors zero:

x = 0 . . . . must be excluded

x = -5/2

The solution to the equation is x = -5/2.

8 0

4 years ago

Read 2 more answers

3) An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is succ

KATRIN_1 [288]

Answer: 0.128

Step-by-step explanation:

The geometric probability of getting success on nth trial is given by :-

$P(n)=p(1-p)^{n-1}$

Given : The probability that he is successful on a given trial $p= 0.2$ .

Then , the probability that the third hole drilled is the first to yield a productive well is given by :-

$P(3)=0.2(1-0.2)^{3-1}=0.128$

Hence, the probability that the third hole drilled is the first to yield a productive well = 0.128

8 0

3 years ago

Look at picture y=_the height of the baseball after 5 seconds is ___ feet​

Look at picture y=_the height of the baseball after 5 seconds is ___ feet