All categories

3 years ago

What is a quadratic polynomial function with zeros 3 and -3?

Mathematics

1 answer:

Lemur [1.5K]3 years ago

8 0

Answer:

f(x) = x² - 9

Step-by-step explanation:

Given x = a is a zero of the polynomial f(x) then (x - a) is a factor

Given zeros are x = 3 and x = - 3, then corresponding factors are

(x - 3) and (x - (- 3) ), that is

(x - 3) and (x + 3)

The function is then the product of the factors, that is

f(x) = (x - 3)(x + 3) ← expand using FOIL

f(x) = x² - 9

You might be interested in

In a race, 47 out of the 50 swimmers finished in less than 35 minutes. What percentage of the swimmers finished the race less th

Dmitry [639]

Answer:

94%

47*2=94

50*2=100

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

After a reflection, can A=A'?

motikmotik

NO It can not!

Reason: the reason is because since both are the same , it will equal the mostly 0! So it wouldn’t make sense. So no!

Hoped I help mark brainly it would help me a lot!

4 0

3 years ago

Here's another Math one worth 10.

tia_tia [17]

<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The short leg is </span>the side opposite the 30 degree angle. If the short leg =x, then the hypotenuse = 2x

The ratio of the short leg to the hypotenuse in the given triangle is cos(60°)

$
cos(60^o) = \frac{adjacent \ side}{hypotenuse } = \frac{x}{2x} = \frac{1}{2}$

Answer is C. 1:2

7 0

3 years ago

Consider an experiment involving the game spinner pictured below. A 20 trial experiment is conducted to determine the probabilit

Nookie1986 [14]

Answer: 1/4

Step-by-step explanation:

To determine the probability of landing on blue, you divide by the total number of spins.

In this experiment, the probability of the spinner landing on blue after 20 spins would be 15%.

This makes the probability of landing on blue to be:

Pr (landing on blue) / Pr (total trials) = 5/20

This gives 1/4

4 0

3 years ago

Awarding road contracts. A state Department of Transportation (DOT) recently claimed that each of five bidders received equal co

Sveta_85 [38]

Answer:

a) Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

Step-by-step explanation:

a) The concept applied here is combinatorics ; nCr = n!/(n - r)!r!

we are told that out of 5bidders, Three of the bidders were large construction conglomerates

and two were small specialty contractors.

selecting two recipients with tree of the bidders were large construction conglomerates 3C2

= 3!/(3-2)!2!

= 3

Similarly, selecting the two small casualty contractor from the total of 5bidders = 5C2

= 5!/(5-2)!2!

= 10

Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

b) if DOTs claim is not true ( probability of failure) = 1 - 0.3

= 0.7 , this value implies that the probability 0.3 is largely compatible and a compliment of the 0.7 and as such it is consistent with the DOTs claim that the selection was random.

7 0

3 years ago

What is a quadratic polynomial function with zeros 3 and -3?​

What is a quadratic polynomial function with zeros 3 and -3?