How does the zero product property help you find the x intercept of y=x^2-x-12?

Answers

Answer 1

We first factor this quadratic. We want factors of c, -12, that sum to b, -1; -4(3) = -12 and -4+3 = -1, so those are the two we will use:
y=(x-4)(x+3)

The zero product property tells us that in order to get a product of zero, one of the factors must be zero. This means either x-4=0 or x+3=0. We solve both of these equations to find the roots, or x-intercepts:
x-4=0
x-4+4=0+4
x=4

x+3=0
x+3-3=0-3
x=-3

Related Questions

Yesterday's low temperature was − 2 . 5 ∘ C −2.5 ∘ Cminus, 2, point, 5, degree, C. Today's low temperature is 5 55 times as low as yesterday's low temperature.

Answers

The temperature today would be -12.5 degrees.

If today's temperature is 5 times as low as yesterday's temperature, you just have to multiply it by 5.

-2.5 x 5 = -12.5

PLEASE HELP ME!! HURRY PLEASE

Answers

4, there is 3 radii OA, OC and OB
2nd choice

5. there is one chord BC
first choice

6. 3 central angles:
AOC, AOB, BOC
first choice

Number 9. I was guessing helppp plssss

Answers

The answer should be 2 ft per hop. 6 yards equals 18 feet. 18 divided by 9 is 2. Therefore, it is 2 feet or 2/3 of a yard

Which stem of equation should Omar use?

Answers

According to the logarithmic property of the base change, the corrected answer is option four or the last.
The logarithmic property of base change given that
loga (b) = logc (b) / logc (a)
Therefore, the same property applies to this problem and the correct expression for this question is:
y1 = log (x) / log (6)
y2 = log (x + 4) / log2

What is the next number in the sequence 3,7,15,31,63,

Answers

Answer:

The next number is 127

Step-by-step explanation:

The sequence is the previous number times 2 plus one.

The length of a rectangular prism is 5 feet and its height is 6 feet. Find the width of the prism if the surface area is 126 square feet.

Answers

the width is 3 ft hope this helps

what did the horse say when it fell down

Answers

he said bang bang bang bang

Which number is closest to V65 A. 8 B. 9 C. 32 D.64

Answers

The number closest to 65 is 8. (61 square is 8)

Final answer:

The symbol 'V' before a number usually implies the square root in mathematics. Therefore, the square root of 65 (V65) is approximately 8.06. Hence, the closest number to V65 is 8.

Explanation:

The symbol 'V' before a number often denotes the square root in mathematics. Thus, 'V65' implies the square root of 65. Calculating this gives an approximate value of 8.06. When you compare this value to the options provided: A. 8, B. 9, C. 32 and D. 64, you can see that the closest number to V65 (the square root of 65) is A. 8.

Learn more about Square Root here:

https://brainly.com/question/1540542

#SPJ2

multiply. give your answer in standard form. (2n^2-7n+2)*(3n+1)

Answers

For this case we have the following polynomials:
(2n ^ 2-7n + 2)
(3n + 1)
Multiplying we have:
(2n ^ 2-7n + 2) * (3n + 1)
(6n ^ 3-21n ^ 2 + 6n) + (2n ^ 2-7n + 2)
Rewriting we have:
6n ^ 3 + n ^ 2 (-21 + 2) + n (6-7) + 2
6n ^ 3 - 19n ^ 2 - n + 2
Answer:
6n ^ 3 - 19n ^ 2 - n + 2

can someone plz help me.

Answers

3. 4 times x of a fence would 4x, and then you would put on the minus 3 for the first length of fence to be 4x-3. For the second length of fence, 5 times x would be 5x, adding on the 6 and you get 5x+6. Add these two equations together and you get the answer of A: (4x-3)+(5x+6).

4. Add both of the number of seeds in the garden, which is x+4x+10. By adding like terms, you get the new equation of 5x+10. Therefore, the total number of seeds that Val plants will be 5x+10.

How do you solve for x??

Answers

My apologies. the image loaded with an error that made it appear as there was an additional parallel line. after reviewing the image online I can see that the 2 given angles are in fact alternate interior angles. By theorem these are congruent meaning they have equal measures. be abuse of this we can set them equal and solve for x.
130=x+135 and subtracting 135 from both sides gives us
130-135=x-0
x=-5

best
shayla

Make an equation 130=x+135 then subtract 135 from 130 which would leave x alone on the right 130-135=-5 so x=-5

Gabe went to the amusement pasrk with $40 to spend. His tickets cost $26.50. Write and solve an inequality to show how much he might spend on souvenirs and snacks.

Answers

x= cost of souvenirs & snacks

$26.50 + x ≤ $40
subtract 26.50 from both sides

x ≤ $13.50

ANSWER:
Equation: $26.50 + x ≤ $40; He could spend a maximum of $13.50 on souvenirs and snacks.

Hope this helps! :)

help I can't figure this out

Answers

If that were an entire circle, the entire area would be:
area = PI * radius ^2
area = 113.0973355292

Since it is 165 degrees, then the area equals
165 / 360 * 113.0973355292

equals 51.8362787842

answer is b

Variable x is 7 more than variable y. Variable x is also 1 less than y. Which of the following pairs of equations best models the relationship between x and y? (4 points)

x = 1y
x = y + 7

x = y + 7
x = y – 1

y = x + 8
y = x – 1

y = 7x
y = x + 1

Answers

we know that
1) Variable x is 7 more than variable y
so
x=y+7

2) Variable x is also 1 less than y.
x=y-1

therefore

the answer is
the option
x = y + 7
x = y – 1

Answer:

1. x is 7 more than y

meaning

x=y+7

2. x is 1 less than y

meaning

x=y-1

the answer:

x = y + 7

x = y – 1

Consider the following system of equations:

2x + 3y = 45
x + y =10

What is the x-value of the solution for this system?

Answers

Y=-x+10
2x+3(-x+10)=45
2x+-3x+30=45
2x+-3x=15
-x=15
X=15

A circle with center (-2,6) passes through the point (-2,10). Which of the following is the equation of the circle?

Answers

Because the center is at (-2,6) its either a or c ( because of the x+2 and x-6)

If we plug x = -2 and y = 10 into equation a and c well see which one is correct
Plug in equation a:_
((-2+2)^2 + (10-6)^2 = 0 + 16 = 16
so its equation a Answer

First option is correct. The equation of the is [tex](x-2)^{2} +(y-6)^{2} =16[/tex].

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called "center".

General equation for circle

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

where,

(h, k) is the coordinate of the center of a circle

(x, y) are the coordinate points

r is the radius of circle.

According to the question

we have

the center of the circle, (h, k) = (-2, 6)

and the circle passes through the point (-2, 10)

since, the circle passes through point (-2, 10), the radius(r) of the circle is the distance between the points (-2, 6) and (-2, 10)

⇒ [tex]r =\sqrt{(-2+2)^{2 }+ (6-10)^{2} }[/tex]

⇒ r = [tex]\sqrt{0^{2}+(-4)^{2} }[/tex]

⇒[tex]r = \sqrt{16}[/tex]

⇒[tex]r = 4unit[/tex]

therefore,

the equation of the circle is given by

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

[tex](x-(-2))^{2} +(y-6)^{2} =16[/tex]

[tex](x+2)^{2} +(y-6)^{2} =16[/tex] ..... (1)

[tex]x^{2} +4+4x+y^{2} +12y+36 = 16[/tex]

[tex]x^{2} +y^{2} +4x+12y+24=0[/tex]

Hence, equation 1 represent the equation of circle i.e. [tex](x+2)^{2} + (y-6)^{2} =16[/tex]

Learn more about the equation of circle here:

https://brainly.com/question/10618691

#SPJ2

Ms. Coleman's class has already collected 403 cans for a food drive, but the class wants to collect a total of at least 1,000 cans. If each of the 28 students in the class brings an equal number of cans, how many more cans should each student bring for the class to have collected at least 1,000 cans?

Answers

22 cans each student needs to bring. 22x28=616+403=1019

22 cans each student needs to bring. 22x28=616+403=1019 that is the answer

how do i solve this ? :')

Answers

I think you are supposed to make the fraction equivalent so you know that 27/9 is 3, so you would do the same thing whatever number is supossed to be under 17 needs to equal to 2 when divided by 9. So you should probably know that 3 * 9 is 18 so x needs to be a number that when subtracted by 5 gives you 18. So x=23. Hope this is right and it helps!

Which of the following statements is false? a. Every chord is a part of a secant b. Every diameterbis a part of secant c. Every chord is a diameter d. Every diameter is a chord

Answers

The wrong statement about a circle is c. Every chord is a diameter

Further explanation

Circles are two-dimensional builds which are sets of equidistant points at a point called the center point

The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle

There are terms - terms commonly used in circles:

1. The center point2. Radius3. Arc4. Circumference5. Segment6. Chord7. Annulus8. Diameter9. Disc10. Lens

A diameter is a line that passes through the center of a circle and divides the circle into two equal partsA Secant is a plotline that intersects a circle at two points on a circleA chord is a line that cuts a circle at 2 points located on the arc

Let we see the answer choices :

a. Every chord is a part of a secant

Right, because secant itself is an extension of the chord

b. Every diameter is a part of secant

Right, because the diameter itself also intersects the circle at two points on the circle, just like secant

c. Every chord is a diameter

Incorrect, because the diameter itself must pass through the center point while the chord does not have to

d. Every diameter is a chord

Right, because each diameter intersects a circle at two different points

So the wrong statement is C. Every chord is a diameter

Learn more

circumference

https://brainly.com/question/8929610

circle transformations

https://brainly.com/question/9138203

the arc length of a segment of a circle

https://brainly.com/question/10528925

Keywords: circle, secant, diameter, chord

Every chord is a diameter is false. Option (c) is false.

Further explanation:

Given:

The statements are as follows,

(a). Every chord is a part of a secant

(b). Every diameter is a part of secant

(c). Every chord is a diameter

(d). Every diameter is a chord

Explanation:

Diameter is a distance between the points that passes through the center of the circle.

The distance between the two points on the circle is known as the chord. The longest chord is the diameter of the circle.

Radius is line segment to a point from the center of the circle and the radius is half of the diameter.

Secant is a straight line that intersects two points on the circle.

Every chord is a diameter is false. Option (c) is false.

Statement (a) is true.

Statement (b) is true.

Statement (c) is false.

Statement (d) is true.

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: false, chord, part, secant, radius, diameter, Every chord is a part of a secant, Every diameter is a part of secant, Every chord is a diameter, Every diameter is a chord.

True or false- "All quadrilaterals polygons."

Answers

the answer is true hope this helps :)

Steve bought a total of 6 packages of pens, and each package contained either 3 or 7 pens. If exactly 4 of the packages Steve bought a package that contained 7 pens, how many pens did Steve buy?

A) 21
B) 28
C) 30
D) 34
E) 42

Answers

The answer is D, 34

If 4 of the packages contain 7 pens, that means there, 28 pens are total.

Because they contained either 3 or 7 pens, I would assume the remaining 2 packages of 6 total that Steve had bought would have to have 3 pens.

3*2 is equal to 6

28 + 6 = 34

The answer is D.
Calculate how many pens he bought for only the bags with 7 pens each. You get 28.
Next, since you know there are 2 bags left that each must have 3 pens only, calculate how many pens he bought in only those 2 bags. You get 6.
Add the 2 values. 28+6 is 34, so your answer is choice D.

Penny has 3 friends over after school, and they are hungry for an after school snack! They find 2/3 of a pie left over from dessert lastnight. If they split up the leftover pie evenly between the 4 girls, how much pie does each girls get to eat?

Answers

2/3 ÷ 4 =

Formula = Keep, change, flip

Keep 2/3
Change ÷ to ×
Flip 4 to 1/4

That equals 2/3 × 1/4 = 1/6

Answer = 1/6

Hope this helped☺☺

In the triangle below,
1) Find the length of BC

2) Find the are area of Δ ABC

Answers

1. Since we have two sides (AC and AB) and the included angle (60°), we are going to use the law of cosines to find the length of BC:
[tex]BC= \sqrt{AB^2+AC^2-2(AB)(AC)Cos \alpha } [/tex]
[tex]BC= \sqrt{6^2+4^2-2(6)(4)Cos(60)} [/tex]
[tex]BC= \sqrt{36+16-48Cos(60)} [/tex]
[tex]BC= \sqrt{52-48Cos(60)} [/tex]
[tex]BC=2 \sqrt{7} [/tex]

We can conclude that the length of the side BC is [tex]2 \sqrt{7} [/tex].

2. To find the area of triangle ABC we are going to use Heron's formula: [tex]A= \sqrt{S(S-A)(S-B)(S-C)} [/tex]
where
[tex]A[/tex] is the area of the triangle
[tex]S[/tex] is the semi-perimeter of the triangle

But first, we are going to find the semi-perimeter of our triangle using the formula: [tex]S= \frac{A+B+C}{2} [/tex]
We can infer for our triangle and from our previous calculation that [tex]A=2 \sqrt{7} [/tex], [tex]B=4[/tex], and [tex]C=6[/tex]. Lets replace those values to find the semi-perimeter of our triangle:
[tex]S= \frac{A+B+C}{2} [/tex]
[tex]S= \frac{2 \sqrt{7+4+6} }{2} [/tex]
[tex]S=7.65[/tex]

Finally, we can use Heron's formula to find the area of our triangle:
[tex]A= \sqrt{7.65(7.65-2 \sqrt{7})(7.65-4)(7.65-6)}[/tex]
[tex]A=10.42[/tex]

We can conclude that the area of our triangle is 10.42 square units.

A1. Since we have two sides (AC and AB) and the included angle (60°), we are going to use the law of cosines to find the length of BC:

We can conclude that the length of the side BC is .

2. To find the area of triangle ABC we are going to use Heron's formula:

where

is the area of the triangle

is the semi-perimeter of the triangle

But first, we are going to find the semi-perimeter of our triangle using the formula:

We can infer for our triangle and from our previous calculation that , , and . Lets replace those values to find the semi-perimeter of our triangle:

plz answer my multiple choice question

Answers

3 = 3 and one solution

Aaron bought a large basket of 59 apples for $22.95. He also bought a small basket of 18 apples for 8.95. Which amount is the closest estimate of the cost per apple?

Answers

22.95+8.95 = 31.90
31.90/77 = .41
So, it'd be .40 if you were rounding.

What is the slope of the line? 6x + 2y= -14

Answers

The slope of the line stated is -3.

First, you'd subtract 6x from both sides "2y = -6x - 14". Then you'd divide each side by 2 "y = -3x -7". Now the line is in the proper form (Y = MX + B), M is the slope. Thus making -3 the slope.

I hope this helps!

PLEASSSSSSE HELLOOPpppppppppp

Answers

Volume of a rectangular prism is length * width * height.

The figure can be broken into 3 different prisms. Left to right, I'd label them 1st tower, connecting base, 2nd tower.

I'll do the 2nd tower first since it has the most measurements. 5 * 5 * 12 = 25 * 12 = 300

The first and second towers are congruent so they have the same measurements; we just do 300 + 300 to find their volumes. It's 600.

Now, to find the connecting piece. The whole bottom length of this "U" shaped figure is 18 but the two towers have lengths of 5. To find the base of the portion we're looking for, we do 18 - 2(5) = 18 - 10 = 8. To find the height, we take away the top part of the second tower (7 m) from the whole height (12 m). 12 - 7 = 5. The width is given by the towers so we have what we need to solve.

8 * 5 * 5 = 40 * 5 = 200

Now add the volumes all together.

600 + 200 = 800

The figure has a volume of 800 cubic meters or 800 m³.

Suppose 540 people visit the zoo.Predict how many people will choose the monkey exhibit as their favorite

Answers

Are there any answer choices?

Answer:

162

Step-by-step explanation:

There are 21 out of 70 people that like the monkey exhibit. So you divide that and get 0.3 or 3/10. Then you have to multiply that by 540. This gets you to 162 which is the answer to your problem.

10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. show your work

Answers

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

PLEASSEE HELP i really dont get this math and this is due today so can some please help me with this asap!!!!

Answers

I believe it’s A. 10*8= 80 and 20*4= 80.
When finding the area you multiply the base by the height.
None of the other answers equal 80 so your answer is A.

Hi there!

The area of the parallelogram is 80mm^2. So, we'll go through each option to figure out what figure has the same area.

A - 1/2(4 x 20) = 40
B - 1/2(15 + 25) x 2 = 40
C - 1/2(6 + 14) x 8 = 80
D - 20 x 8 = 160

ANSWER:
Option 3 (C) - A trapezoid with bases of 6mm and 14mm and a height of 8mm

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Other Questions

name three lifestyle changes that have occurred that have promoted obesity in the last 30 years? A 90.00 mL solution of NaCl and ethyl alcohol has 7.83 g of salt dissolved in the alcohol. Calculate the molar concentration of the solution. Remember to use significant digit rules. Find g(x), where g(x) is the translation 9 units up of f(x)=x2. write your answer in the form m(x+a)2+b, where m, a, and b are integers. Alexandra rented a costume for $39 per day. She knows there was a deposit for the costume, but she cannot remember the amount of the deposit. If she rented the costume for 3 days and paid a total of $167, the deposit must have been $____ What causes H.I.V to happen exactly? Which of the following statements is NOT true about lockout/tagout?A.Lockout/Tagout involves placing a physical lock and a tag on electrical equipment B.Lockout/Tagout is intended to ensure that electricity is not returned to the equipment by anyone until it is safe C.Lockout/Tagout is necessary prior to working on electrical equipment D.Lockout/Tagout is to be used only in extreme cases of potential electrical hazard When the data are labels or names used to identify an attribute of the elements, the variable has which scale of measurement? PLEASE ANSWER CORRECTLY ASAP:Solve this system of equations:y = x2 3x + 12y = 2x + 14 Substitute the values of x, 1 and 2, into either original equation to solve for the values of y.What are the solutions of the system of equations?One solution is (1, __ )The second solution (2, ___) How was the dome invented and what was it called? (site 2) Simplify the expression 1/(1-cos^2 x) . Remember cos x= 1/csc x Rex painting the garage in the shed he uses 3 gallons of paint on the garage he uses 3/4 of that amount on the shed enter the amount of paint in gallons Rex uses on the shed What was Gregor Mendels main contribution to science? A. He cultivated unusual flower species. B. He is considered the father of genetics. C. He researched the best-tasting peas. D. He proposed a theory of blended traits. suppose the probability that a US resident has traveled to Canada is 0.18 to Mexico is 0.09 and to both countries is 0.04 what's the probability that an American chosen at random has travel to either Canada or Mexico A humming bird feeder is tied by a rope to a tree branch. You notice that in a gentle breeze, the feeder moves back and forth 15 times in 1 minute. How long is the rope? a student has test scores of 92%, 87%, and 78%. what must she need to score on thenlast test to maintain 80% or better? a drainage pipe 66 in. tall measures 25.12 in. around.Using the formula for the volume of a cylinder, what is the volume of the drainage pipe rounded to the nearest hundredth of a cubic inch?(Pi = 3.14) John is creating a storyboard for a client. The Widget Company has a lot of products to sell and wants them all accessible from a main content page called the Company Store. There are so many products that users would have to scroll down the page to see them all. John decides to split the products up into categories and have a page for each product category to make the products easier to find and view. On the storyboard, what pages will be the main content pages, and what pages will be connected to the main pages? Describe how this storyboard can be organized. With which of the following statements would William Lloyd Garrison, Angelina Grimke Weld, and Frederick Douglass agree?The best way to achieve abolition is for slaves to escape.Slavery goes against the laws of the United States.Slavery dehumanizes African Americans.All southerners support slavery. How does Shelleys idea for Frankenstein fit the Gothic tradition?It takes readers from a world of logic and practicality to a world of natural phenomenon.It takes readers from a work-a-day world to a world of mischief and mystery.It takes readers from a world of reason and science to a world of monsters and terror. Can someone explain infinitives pls