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3 years ago

Answer number 2 pwease

Mathematics

1 answer:

seropon [69]3 years ago

7 0

Answer: it is B

Step-by-step explanation:

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I really need help I would appreciate it if someone could help me

sleet_krkn [62]

Answer:

a) The vertex of the graph is $(h,k) = (0, 31)$ , b) $a = -16$ , c) The equation of the parabola is $f(t) = -16\cdot t^{2}+31$ .

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is $(h,k) = (0, 31)$ .

b) If we know that $(h,k) = (0, 31)$ , $f(t) = a\cdot (t-h)^{2} + k$ and $(t,f(t)) = (1,15)$ , then the value of $a$ is:

$f(t) = a\cdot (t-h)^{2} + k$

$15 = a\cdot (1-0)^{2}+31$

$15 = a\cdot 1 + 31$

$a = 15-31$

$a = -16$

c) The equation of the parabola is $f(t) = -16\cdot t^{2}+31$ .

4 0

3 years ago

How do I solve x^2+y^2=41 y=4x-11

Paul [167]

Download photomath on your phone and it will solve it for you and give you answer too

3 0

3 years ago

Find the 8th term in the following geometric sequence. 28,14,7,3.5,...

Bezzdna [24]

Answer: 0.21871

Step-by-step explanation:

3.5

1.75

0.875

0.4375

0.21871

5 0

3 years ago

The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-3. It goes throug

lukranit [14]

Answer:

P(x) = ( $\frac{2}{5}$ )x(x + 3)(x - 1)²

Step-by-step explanation:

Given - The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-3. It goes through the point (5,256)

To find - Formula for P(x) ?

Proof -

Given that,

P(x) has a root of multiplicity 2 at x=1

So,

(x - 1)² is a factor.

Now,

Given that, there is roots of multiplicity 1 at x=0 and x=-3

So,

(x - 0) and ( x - (-3) are also factor

So,

P(x) can be written as

P(x) = Ax(x + 3)(x - 1)² .........(1)

where A is a constant.

Now,

Given that, It goes through the point (5,256)

⇒At x = 5, P(x) = 256

So,

Put the values of x and P(x) in equation (1), we get

P(x) = Ax(x + 3)(x - 1)²

⇒256 = A(5)(5 + 3)(5 - 1)²

⇒256 = 5A(8)(4)²

⇒256 = 40A(16)

⇒256 = 640 A

⇒A = $\frac{256}{640}$ = $\frac{2}{5}$

∴ we get

P(x) = ( $\frac{2}{5}$ )x(x + 3)(x - 1)²

7 0

2 years ago

PLEASE ANSWER ASAP!!!!!!!!!

Pachacha [2.7K]

Answer:

Step-by-step explanation:

You would divide the yards by 5 to get the inches.

Length - 2in

width - 2 2/3

5 0

3 years ago

Read 2 more answers