What are the x-intercepts of the function y = x2 - X - 6?

Answers

Answer 1

Answer:(3,0) , (-2,0)

Step-by-step explanation:To find the x-intercept, substitute in  0 for y and solve for x

Answer 2

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[tex]f(x) = {x}^{2} - x - 6 [/tex]

[tex]f(x) = (x - 3)(x + 2)[/tex]

[tex]0 = (x - 3)(x + 2)[/tex]

_________________________________

Hint :

[tex]a \times b = 0[/tex]

[tex]a = 0 \: \: \: or \: \: \: b = 0[/tex]

_________________________________

Thus ;

[tex] x - 3 = 0[/tex]

Add sides 3

[tex]x - 3 + 3 = 0 + 3[/tex]

[tex]x = 3[/tex]

Or

[tex]x + 2 = 0[/tex]

Subtract sides 2

[tex]x + 2 - 2 = 0 - 2[/tex]

[tex]x = - 2[/tex]

Thus the x-intercepts are (( - 2 )) and (( 3 )) .

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Related Questions

What is the slope?
rise=6
run=12

Answers

Answer:

0.5

Step-by-step explanation:

Rise over run. 6/12 or divide. 6 divided by 12 equals 0.5.

Answer: 1/2

Step-by-step explanation:

6/12 simplified is 1/2

UN PASTEL SE CORTA QUITANDO CADA VEZ LA TERCERA PARTE DEL PASTEL QUE HAY EN EL MOMENTO DE CORTAR ¿QUE FRACCION DEL PASTEL ORIGINAL QUEDO DESPUES DE CORTAR TRES VECES?

Answers

Answer:

No queda nada del pastel.

Step-by-step explanation:

El pastel representaria un entero, si al entero lo dividimos en tercios, son tres tercios los que los conforman, por ende si lo cortamos tres veces, en el primer corte quedarian dos tercios de pastel, en el segundo corte un tercio, y en el tercer corte el ultimo tercio , generando asi que no quede nada de este.

Los enteros se dividen en cuartos, tercios y hasta octavos, o muchas mas fracciones.

Un entero es equivalente a 4 porciones de 1/4 y a 3 porciones de 1/3

In a two-digit number, the units digit is six less than three times the tens digit. Four times the units digit minus five times the tens digit equals 11. Find the digits.

Answers

Answer:

The tens digit = 5

The units digit = 9

The two digit number is 59

Step-by-step explanation:

Let the tens digit be represented by x

The units digits be represented by y

In a two-digit number, the units digit is six less than three times the tens digit.

y = 3(x) - 6

y = 3x - 6

Four times the units digit minus five times the tens digit equals 11.

4(y) - 5(x) = 11

4y - 5x = 11

We substitute

4(3x - 6) - 5x = 11

12x - 24 - 5x = 11

Collect like terms

12x - 5x = 11 + 24

7x = 35

x = 35/7

x = 5

y = 3x - 6

y = 3(5) - 6

y = 15 - 6

y = 9

Hence,

The tens digit = 5

The units digit = 9

The two digit number is 59

Answer:

5=tens 9=units

Step-by-step explanation:

I think its this

$11.13-$5.50-$6.12=$10.51; $30- $10.51

Answers

What is the problem?? I would love to help

AABC is an isosceles triangle with vertex angle B, AB = 2x + 10, AC = 2x,
and BC = 4x - 16. Determine the length of the base of the triangle.

Answers are
A.117 degrees
B.26 degrees
C.15 degrees
D.22 degrees

Answers

Answer:

AC = 26 units

Step-by-step explanation:

Given that,

ABC is an isosceles triangle with vertex angle B such that,

AB = 2x + 10, AC = 2x,  and BC = 4x - 16

Two sides of an isosceles triangle are equal. It means that the angles corresponding to the same sides are equal. It means AB = BC

2x + 10 = 4x - 16

2x-4x = -10-16

-2x = -26

x = 13

AC is the base of the traingle.

AC = 2x

AC = 2(13)

AC = 26 units

So, the base of the triangle is equal to 26 units.

what does rise over run mean in math?

Answers

Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.

Step-by-step explanation:

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determined.
The numerical value of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.

Answers

Answer:

Step-by-step explanation:

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?

A comparison of the area and circumference is not possible since the area cannot be determined.

The numerical value of the circumference and area are equal.

The numerical value of the circumference is greater than the numerical value of the area.

The numerical value of the circumference is less than the numerical value of the area.

Using the area and the circumference of the circle, it is found that the correct statement is given by:

The numerical value of the circumference is greater than the numerical value of the area.

What is the area of a circle?

The area of a circle of diameter d is given by:

[tex]A = \frac{\pi}{4}d^2[/tex]

What is the circumference of a circle?

The circumference of a circle of diameter d is given by:

[tex]C = \pi d[/tex]

In this problem, we have that d = 3, hence:

[tex]A = \frac{\pi}{4} \times 3^2 = \frac{9\pi}{4} = 2.25\pi[/tex]

[tex]C = \pi \times 3 = 3\pi[/tex]

Hence the correct option is given by:

The numerical value of the circumference is greater than the numerical value of the area.

More can be learned about the area and the circumference of a circle at https://brainly.com/question/15673093

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Given the exponential function [tex]f(x) = 9(3)^x[/tex], what is the value of f(x) when x =-1

Answers

Answer:

f(-1) = 3

General Formulas and Concepts;

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 9(3)ˣ

x = -1

Step 2: Solve

Substitute:                    f(-1) = 9(3)⁻¹Evaluate:                       f(-1) = 9(1/3)Multiply:                        f(-1) = 9/3Divide:                           f(-1) = 3

Paola and Tom opened a lemonade stand. This week they sold 20 cups of lemonade and received $5 in tips. If they spend $30 on supplies, which inequality could be used to find x, the price of each cup they must sell to make a profit?

Answers

Answer:

20x + 5 < 30

Step-by-step explanation:

To make a profit, the price on supplies must be less than the amount at which they sold their wares

Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25

So now, we need the smallest price at which they will sell per lemonade to make a profit

Mathematically, that will be;

20x + 5 > 30

Using this inequality X they will know the value of x that will give them profit

Help. IM SO LOST ON THIS! ;(

Answers

Answer:

1. 4[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

For question 1, you need to know the ratio between the recipe and the amount in question.

So if in the recipe, it says it uses 3/4 cup of diced ham, and the question uses 1 cup of diced ham, you can divide 1 by 3/4 to get 4/3. This is how many times bigger the amount used in the question than the recipe.

Then it asks for how many cups of potatoes, to do this, you look at the recipe and how many potatoes it uses: 3.5 cups

To solve it then, you just do 3.5 x 4/3 to get 4[tex]\frac{2}{3}[/tex] cups of potatoes

There's your answer.

A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20
each. Find the percent

Answers

Answer:

11%

Step-by-step explanation:

I think that's the answer just check first

how long is a meter
you can not use google

Answers

1 km=1000 m

1 m=100 cm

please mark as brainliest

A car rental agency advertised renting a car for $23.95 per day and $0.24 per mile. If Shawn rents this car for 3 days, how many whole miles can he drive on a $150 budget?

Answers

Answer:

23.95(3)+ 0.24=150 multipy 3 and 23.95

71.85+0.24m=150 subtract 71.85 from 150

0.24m=78.15 divide 78.15 by 0.24

m=325 miles

The 7th-grade class took a survey on their favorite ice cream. 58 people said they prefer vanilla, while 28 people said they prefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in a :b form)

Answers

Since 58 for vanilla and 28 for chocolate
The ratio would be 28:58
You can simplify it even further
to 14:29

Please help!!!!
Compare the slopes of the linear functions f(x) and g(x) and choose the best answer that best describes them.

Answer choices:
A- The slope of f(x) is greater than the slope of g(x)
B- The slope of f(x) is less than the slope of g(x)
C- The slope of f(x) is equal to the slope of g(x)
D- The slope of g(x) is undefined

Answers

B because the slope is greater than g(x) I think so though

Answer:

The answer is C. The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

Did the test

Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35and an additional fee of $12per class taken. Rebekah's goal is for each customer to spend at least $100 at the studio, and she wants to know the minimum number of classes a customer needs to take to meet that goal.

Answers

Answer:

Step-by-step explanation:

12 x 5 = 60 + 35 = 85, and we cannot go any higher without exceeding 100. However it would be different if it was a decimal. So for now the answer would be 5 classes added with the initial one time fee of 35 dollars.

Here is the answer with the steps :) Answer= 6 classes

Find the slope and y-intercept for the table.



slope:

y-intercept:

Answers

Answer:

Slope is 3

y-intercept is 2

10+10*10-100 try to do it

Answers

Answer:

the correct answer is 10 have a brilliantaa day

Step-by-step explanation:

Can somebody help with my math gotta be serious about it tho!

Answers

Answer: ok

Step-by-step explanation:

Answer:

I can try to help

Step-by-step explanation:

It depends one the question and what math subject.

So ask the question and people should help.

I need help pleaseeee

Answers

Do u have to simply?
Fraction is 2/5
Decimal is 0.4
Percent is 40%

write the equation of a line that has a slope of 3 and passes through the point (1,2) in slope intercept form

Answers

Answer:

The equation is y = 3x - 1

Step by Step Explanation:

Ok, so your first step in solving this would be substituting m in the equation with the slope, since m represents the slope. So then you would have y = 3x + b. Now, to find b, you would have to substitue the point (1,2) into the equation. You would replace 2 with y since that's the y coordinate, and 1 with x since that's the x coordinate. Then you have 2 = (3*1) + b. Now, you solve for this. You get 2 = 3 + b. Isolating the variable b, you have b = -1. So, the result is y = 3x - 1. That's your answer

On a map, the distance between NY and Washington D.C. is 3.6 inches. The scale is 1 inch: 55 miles. What is the actual distance between the two cities?

Answers

3.6 in= 55 miles
55x3= 165
55/6= 9
165+9= 174
174 miles

Which equation represents the rectangular form of 5pi/6​

Answers

Answer:

D, StartRoot 3 EndRoot x + 3 y = 0

Step-by-step explanation:

The equation which represents the rectangular form of 5pi/6​ is √3x-y=0.

We are given that;

The expression 5pi/6​

Now,

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

The rectangular form of a polar point (r, θ) is given by (x, y) where x = r cos(θ) and y = r sin(θ).

Therefore, the rectangular form of 5π/6 is given by (x, y) where x = 5 cos(5π/6) and y = 5 sin(5π/6).

Using the unit circle, we can find that cos(5π/6) = -√3/2 and sin(5π/6) = 1/2.

Hence, the rectangular form of 5π/6 is (-5√3/2, 5/2).

Therefore, by the equation answer will be √3x-y=0.

To learn more about equations :

brainly.com/question/16763389

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11(p-3)=5(p+3) really need an answer please hahaha

Answers

Answer:

P = 8

Step-by-step explanation:

Answer:

p=104/33

Step-by-step explanation:

-4/7 + 2/7 x –14x + 4/7

Answers

The answer is -96/7x

Can you pls mark brainleist

I NEED THIS ANSWER I DONT UNDERSTAND PLEASE HELP

Answers

Answer:

A. 904.3 cm³

Step-by-step explanation:

Radius of the ice cream cone (r) = 6 cm

Height of the ice cream cone (h) = 12 cm

Radius of the shape of hemisphere formed by the half scope of ice cream = 6 cm

Total volume of ice cream = volume of cone + volume of hemisphere

= [tex] (\frac{1}{3} \pi r^2 h) + (\frac{2}{3} \pi r^3) [/tex]

Plug in the values

[tex] (\frac{1}{3} \times 3.14 \times 6^2 \times 12) + (\frac{2}{3} \times 3.14 \times 6^3) [/tex]

[tex] (\frac{1}{3} \times 3.14 \times 36 \times 12) + (\frac{2}{3} \times 3.14 \times 216) [/tex]

[tex] = (1 \times 3.14 \times 12 \times 12) + (2 \times 3.14 \times 72) [/tex]

[tex] = (452.16) + (452.16) [/tex]

Total volume of ice cream = 904.3 cm³ (nearest tenth)

Giving 100 points if someone can answer this correctly...

x³+y³+z³=42

What is x y and z multiplied by 9.08 * 10³

this question is dumb. you should be able to get it

Answers

Answer:

3813.6

Step-by-step explanation:

90.8 x 42 = 3813.6

evaluate [tex]2^{x}[/tex] for (a) x=-2 and (b) x=3. write your answer in simplest form

Answers

you simply replace x for the numbers you have so a) would be 2^-2=1/4 and b) would be 2^3= 8

q is the midpoint of segment pr. pq=2x+1 and qr= 3x-5. what is the length of segment pr​

Answers

I’m not positive this is right but try 26. I set 2x+1 and 3x-5 equal to each other and solved for x. I got x=6 then plugged it into both of the equations then added the equations together.

Daisy filled a bucket with 7/6 gallon of rain.water.
later she poured out 1/6 of gallon of of the water. how much water is left in the bucket?​


I'll mark you brilliantest

Answers

A gallon or 6/6 gallon
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