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2 years ago

If the factors of a quadratic function are (x 2) and (x − 9), what are the x-intercepts of the function?

Mathematics

2 answers:

MArishka [77]2 years ago

7 0

The x-intercepts of the given quadratic function are -2 and 9.

What is a quadratic function?

A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.

A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).

Roots of the Quadratic Equation

Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,

(x+2)*(x-9)=0

∴ x+2=0

⇒ x=-2

Similarly,

x-9=0

⇒ x=9

Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.

Learn more about a quadratic function here:

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ch4aika [34]2 years ago

5 0

This is my answer i dont know you like it or not

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Please help? Will mark brainliest

wlad13 [49]

Answer:

The answer is C

Step-by-step explanation:

Move the nine to the other side of the equal sign

Use the quadratic formula

Find a, b, and c

A=2, B=1, C=-10

Plug them in

1 squared minus 4(2)(-10)

1+80

Square root of 81=9

-1-9 -1+9

4 4

-10 8

4 4

Simplify

-5 2

2 1

-5 2

7 0

4 years ago

he books in a private library are classified as fiction and nonfiction. There are 400 books in the library. There are 40 more fi

vfiekz [6]

First, you have to set a system of equations to determine the number of fiction and of nonfiction books.Call f the number of fiction books and n the number of nonfiction books. Then 400 = f + n. And f = n + 40 => n = f - 40 => 400 = f + f - 40 => 400 - 40 = 2f => f = 360 / 2 = 180. Now to find the probability of picking two fiction books, take into account the the Audrey will pick from 180 fiction books out of 400, and Ryan will pick from 179 fiction books out of 399, so the probability will be (180/ 400) * (179/399) = 0.20 (rounded to two decimals). Answer: 0.20

3 0

3 years ago

A local yoga studio

Andrews [41]

Answer:

Let's call the first studio, yoga studio A.

Let's call the second studio, yoga studio B.

The equations:

Yoga Studio A: y=10x+55

Yoga Studio B: y=12.5x+25

So, for 12 classes:

Yoga Studio A: y=10(12)+55, y=175

Yoga Studio B: y=12.5(12)+25, y=175

These two numbers are equal, so Griffin is right.

For 10 classes:

Yoga Studio A: y=10(10)+55, y=155

Yoga Studio B: y=12.5(10)+25, y=150.

These two numbers are not equal, so Gigi is wrong.

Let me know if this helps!

5 0

3 years ago

What are the domain and range of each relation?

ANEK [815]

Answer:

C for the graph:

Domain:{-3,-1,0,3}

Range:{-1,0,1,2,3}

A for the table:

Domain:{-2,0,2,4}

Range:{-3,-1,0}

Step-by-step explanation:

For the graph:

The Domain is moving across the graph horizontally, the Range is moving up the graph vertically.

It has to be C because when moving across it starts with -3 and ends with 3, and no other answer choice says that. Also when moving up, it starts with -1 and ends with 3, and no other choice but C does that.

Now for the table:

The range is the y values and the domain is the x values.

A is the only choice where the y values match the range and the x values match the domain.

Hope this helps

3 0

4 years ago

If a(x) = 3x + 1 and b(x)=x-4, what is the domain of (bºa)(x)?

BARSIC [14]

The domain of (bºa)(x) is all real number

Step-by-step explanation:

Given

$a(x) = 3x+1\\b(x) = x-4$

We will find the composition first

so,

$(boa)(x) = 3x+1-4\\= 3x-3$

As there is no denominator involved in the functions, there will be no input that will approach the function to infinity so the function will be defined on all real numbers

So,

The domain of (bºa)(x) is all real number

Keywords: Functions, domain

Learn more about domain at:

#LearnwithBrainly

3 0

4 years ago