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3 years ago

Please help for D, E and F

Mathematics

1 answer:

Phantasy [73]3 years ago

6 0

D) 24/65 because it represents the number of players with 1-5 years of experience out of the overall total interviewed.

E) 3/11 because out of the eleven rookies, only three of them were under 200 lbs.

F) out of the 8 that reported to be under 200 pounds, only 3 were rookies, so the probability is 3/8

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This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

$f(x)=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

$f(x)=a(x-2)^2-8$

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

$0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2$

therefore

The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

$f(x)=a(x-0)(x-4)$

$f(x)=ax(x-4)$

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

$-8=a(2)(2-4)\\-8=-4a\\a=2$

therefore

The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

4 0

3 years ago

31. A driver

Gnesinka [82]

Answer:

D. of any age

Step-by-step explanation:

A driver can be charged with Driving While Intoxicated of any age.

It doesn't matter how old you are because a crime is a crime. If you are younger there will most likely be less of a punishment as adults.

8 0

2 years ago

Last question u would love if you could answer!

ycow [4]

Answer:

it is a triangles because the other are the name of the triangle.

Step-by-step explanation:

7 0

2 years ago

1 1/3 - 6/7 is the equation my 11 year old daughter needs help solving. It would be helpful if work can be shown so i can have a

In-s [12.5K]

Answer:

In order to subtract fractions, there must be a common denominator (the number on the bottom of the fraction). 7 and 3 can be multiplied to get 21 (a common factor). To get each fraction to have a denominator of 21, they can be multiplied by 3 and 7 respectively and then subtracted. Attached is an image of the problem worked out. I apologize for the messy handwriting. Hope this helps!

Step-by-step explanation:

8 0

3 years ago

The sum of the digits of a two digit number is 6z the number with its digits reversed is 18 less than the original number. Find

Debora [2.8K]

Answer:

Step-by-step explanation:

Given:-

The Sum of the Digit of a Two Digit number is 6.

On reversing, the number is 18 less than the original number.

To Find:-

The original Number.

Let the Ones digit be "x"

ten's digit be = (6 - x)

Original Number = x + 10(6 - x) = 60 - 9x

Now, Atq.

One's Digit = (6 - x)

Ten's digit = x

New Number = 10 × x + (6 - x) = 9x + 6.

So,

(New Number) - (Original Number) = 18

(9x + 6 ) - (60- 9x) = 18

9x + 6 - 60 + 9x = 18

18x - 54 = 18

18x = 18 + 54.

18x = 72

x = 72/18

x = 4.

Therefore,

One's Digit = x = 4

Ten's digit = 6 - x = 2

Original Number = 42

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2 years ago