katrina makes 8 free throws for every 10 attempts at this rate how many free throws will she make in 25 attempts

Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each quadratic graph to its respectiv

ch4aika [34]

Answer:

Part 1) The function of the First graph is $f(x)=(x-3)(x+1)$

Part 2) The function of the Second graph is $f(x)=-2(x-1)(x+3)$

Part 3) The function of the Third graph is $f(x)=0.5(x-6)(x+2)$

See the attached figure

Step-by-step explanation:

we know that

The quadratic equation in factored form is equal to

$f(x)=a(x-c)(x-d)$

where

a is the leading coefficient

c and d are the roots or zeros of the function

Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-3)(x+1)$

Find the value of the coefficient a

The vertex is equal to the point (1,-4)

substitute and solve for a

$-4=a(1-3)(1+1)$

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

$a=1$

therefore

The function is equal to

$f(x)=(x-3)(x+1)$

Part 2) Second graph

we know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to

$f(x)=a(x-1)(x+3)$

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

substitute and solve for a

$8=a(-1-1)(-1+3)$

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

$a=-2$

therefore

The function is equal to

$f(x)=-2(x-1)(x+3)$

Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-6)(x+2)$

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

substitute and solve for a

$-8=a(2-6)(2+2)$

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

$a=0.5$

therefore

The function is equal to

$f(x)=0.5(x-6)(x+2)$

3 0

3 years ago

What is the solution to this fraction problem

Zina [86]

Answer:

ABCD

Step-by-step explanation:

so first you use glue and then paint and then contact solution

4 0

2 years ago

If A = (1,2,3,4,5), then the number of proper subsets of A is-

Mandarinka [93]

Answer: One of them is the set {1,2,3,4,5,6}itself; one is the empty set, containing no elements. “Proper subset of a set ” usually denotes a subset in which at least one element of the original set is missing; so one of the subsets - the original set iitself - is not a proper subset. Therefore the answer is 63.

Step-by-step explanation:

8 0

3 years ago

Please explain thank you!

Rus_ich [418]

Answer:

56%

Step-by-step explanation:

To find a percentage, you need to take a ration of the value you want and the total. In this case, 28 is the value and 50 is the total, right? Then, to make it a s

proper percentage, you multiply by 100. As such:

$\frac{28}{50} \times 100 = \frac{14}{25} \times 100 = \\ = 14 \times 4 = 56$

3 0

2 years ago

Read 2 more answers

Raul is paid $586.32 bi-weekly what is his yearly salary

nalin [4]

586.32 bi-weekly
52 weeks/yr 
52/2 = 26 pay periods/yr 

586.32 × 26 = 15,244.32

8 0

3 years ago

Read 2 more answers