All categories

3 years ago

what are the steps required to determine the equation of a quadratic function given its zeros and a point?

Mathematics

1 answer:

mezya [45]3 years ago

8 0

Answer:

Below

Step-by-step explanation:

The quadratic equations form is:

● ax^2+bx+c

Using the zeroes, we can write a factored form.

● a (x-x') (x-x")

x and x' are the zeroes

■■■■■■■■■■■■■■■■■■■■■■■■■■

●y = a (x-x') (x-x")

x' and x" are khown but a is not.

We are given a point so replace x and y with its coordinates to find a.

So the steps are:

● 1) Write the factored form of the quadratic equation

● 2) replace x' and x" with their values.

● 3) replace x and y with the coordinates of a khwon point.

● 4) solve the equation for a.

You might be interested in

Ayumi plans to go blueberry piking before school, which starts at 8:00 am the amount of blueberries B, in cups that alum picks g

Trava [24]

Answer:

M(t) = M(16 - 2·t)

Step-by-step explanation:

The function is just formed by using the concept of composite functions.

B is cups of blueberries, and n is cups of blueberries,

So by substituting values the required equations formed are given by :

B(t) = 2·(8 - t)

M(n) = 12·n

n = B(t)

M(t) = M(n)

= M(B(t))

= M(2·(8 - t))

= M(16 - 2·t)

Therefore, this is the required function muffins M

3 0

3 years ago

Read 2 more answers

Das has 3/4 of bottle of water.He drinks 3/8 of the bottle.How much of the bottle dose he have left?

sesenic [268]

Answer:

3/8

Step-by-step explanation

Convert 3/4 to 6/8 to make it easier subract since this problem asks how much he has left.

So 6/8-3/8=3/8

4 0

3 years ago

A rectangle has a perimeter of 48 ft. The length and width are scaled by a factor 1.5.

prohojiy [21]

Answer: 75

Step-by-step explanation:

when increased in scale,

both sides are multiplied by the factor which is 1.5.

72 =1.5(2L+2W)

Mark me as brainliest

7 0

3 years ago

Solve the proportion 15/6 = 10/p

V125BC [204]

Answer:

p = 4

Step-by-step explanation:

The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)

<h3>Cross multiply</h3>

This means multiply both sides of the equation by the product of the denominators:

(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"

15p = 60 . . . . . . simplify

<h3>Second step</h3>

Now, divide by the coefficient of the variable.

15p/15 = 60/15

p = 4

The solution is p = 4.

<em>Additional comment</em>

If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.

For example, to solve ...

2/5 = p/10

you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.

Any proportion can be written 4 ways:

$\dfrac{a}{b}=\dfrac{c}{d}\ \Leftrightarrow\ \dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{b}{a}=\dfrac{d}{c}\ \Leftrightarrow\ \dfrac{c}{a}=\dfrac{d}{b}$

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:

6/15 = p/10 ⇒ p = 10(6/15) = 4

4 0

1 year ago

Read 2 more answers

the local state university has a ratio of 5 professors to every 86 students there are 9460 students at State University what is

Phoenix [80]

As a ratio, 5:86 represents students to teachers

We can set up the equation as 5/86=x/9460

Multiply 9460 to both sides

5x9460/86=x

47300/86=x

x=550

There are 550 professors

7 0

3 years ago

what are the steps required to determine the equation of a quadratic function given its zeros and a point?​

what are the steps required to determine the equation of a quadratic function given its zeros and a point?