y = (x + 2)(x − 3)
Find the zero of the function

Answers

Answer 1

Answer:

The zeros are {-2, 3}

Step-by-step explanation:

Set each of these factors equal to zero, in turn, set each factor = to 0 and solve the resulting equation for x:

x + 2 = 0 yields x = -2;

x - 3 = 0 yields x = 3

The zeros are {-2, 3}


Related Questions

Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice. Which histogram represents Blanca’s lap times for the three days of practice?

Answers

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

What is endurance race?

A type of motorsport racing known as endurance racing is designed to test both the participants' and the equipment's endurance. Teams of several drivers attempt to travel a long distance in a single race while being allowed to change drivers at any time.

The given table is attached below.

The number of laps in the range 82 to 84 seconds = 1

The number of laps in the range 84 to 86 seconds = 4

The number of laps in the range 86 to 88 seconds = 2

The number of laps in the range 88 to 90 seconds = 4

The number of laps in the range 90 to 92 seconds = 6

The number of laps in the range 92 to 94 seconds = 5

The number of laps in the range 94 to 96 seconds = 2

The number of laps in the range 96 to 98 seconds = 0

Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds.

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Answer:A

Step-by-step explanation:

Lin is shopping for a couch with her dad and hears him ask the salesperson "How much is your commission."
The salesperson says that her commission is 5.5 of the selling price.

Answers

Answer:

30.25

Step-by-step explanation:

Help me please and Thank you!

Answers

The correct answer is b 314 mm squared.

Elizabeth has 214 gallons of milk in her refrigerator, and she drinks 23 of the quantity. How much milk does Elizabeth drink?

Answers

Answer:

9 days

Step-by-step explanation:

We know

Elizabeth has 214 gallons of milk; she drinks 23 of the quantity each day.

We take

214 / 23 = 9 days

So, she can drink in 9 days

28 < 4v
solve for v
pls help

Answers

Answer:

v = 7

Step-by-step explanation:

Divide both sides by 4 to isolate v

28/4 = 4v/4

v = 7

Find f(-4) when f(x) = 20- x. A, -24 В. -16 C. 16 D. .24. 4​

Answers

Answer:

D. 24

Step-by-step explanation:

substitute -4 for x:

f(-4)=20-(-4)

f(-4)=24

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

C?

Step-by-step explanation:

I think it is C but I am not sure.

k = 1000P / Wt

Use algebra to rearrange.

Erica bought a road bike using the
store's payment plan. She made a
$320 down payment and makes
monthly payments of $91. If the total
cost is $1,867, how many months will
Erica be paying for the bike? Write and
solve an equation.

Answers

Answer:

17 months i think

Step-by-step explanation:

1867$-320$=1547

1547:91=17

The number of months Erica will be paying for the bike, if She made a $320 down payment and makes monthly payments of $91 is 17 months.

What is the equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions. It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

The down payment = $320,

The amount of monthly installment = $91,

The total cost = $1867

Calculate the remaining amount after the down payment as shown below,

The remaining amount = The total cost - The down payment

The remaining amount = 1867 - 320

The remaining amount = $1547

Calculate the number of months as shown below,

The number of months  = The remaining amount  / The amount of monthly installment

The number of months  = 1547 / 91

The number of months  = 17 months

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What is Y =- 2 on a graph?

Answers

The graph of y is a straight line parallel to the x−axis through the point (0,-2)

Now, According to the question:

What is slope and example?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

The given equation is Y = -2

y = -2 is a line in which all points have the y-value -2. The line has a slope of 0 (horizontal line) since the y-value does not change for any value of x.

The point-intercept form for the equation of a line is:

y = mx + b

We can write y = -2

As y = 0x - 2;

slope = 0, y-intercept = -2

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Alex and Nick collect baseball cards. Alex has three more than twice as many cards as Nick. Together they have 27 cards.
How many cards does Alex have?

Answers

this is like 3rd grade math but anyways
27x3=81
the answer is 81

In indirect variation where y =

[tex]\frac{k}{x}[/tex]

if y = 20 and x = 2, what is the value of y when x = 10 ?

Answers

Step-by-step explanation:

y=k/x

y=20, x=2

Substitute this first to get "k"

20=k/2

k=40

Value of y when x=10... is now

y= 40/10

y=4.

What is the area of a circle if the diameter is 40 meters PLEASE HELP PLEASE IM TIMED

Answers

Answer:

Half of 40 is 20(new radius)

20^2 = 400

400 x 3.14 = 1256 meters^2

Formula of area of a circle:

πr2

pi(3.14 or 22/7 whatever they tell you to use for pi) x radius(half of your diameter or your given radius) being squared(^2 to the power of 2)

A carpenter needs to be sure that a frame he has built is rectangular. He knows that the opposite sides of his frame are congruent. Which additional fact would be sufficient to prove that the frame is a rectangle?


A)

If two adjacent angles are supplementary, then the frame must be rectangular.

cross out


B)

If the adjacent sides are also congruent, then the frame must be rectangular.

cross out


C)

If opposite angles are congruent, then the frame must be rectangular.

cross out


D)

If one angle is a right angle, then the frame must be rectangular

Answers

The answer is D) If one angle is a right angle, then the frame must be rectangular,

What is angle?

An angle is a measure of the amount of rotation between two lines or planes. It is measured in degrees or radians. Angles are formed by the intersection of two lines, called the sides of the angle, and a point, called the vertex of the angle. There are different types of angles such as acute angle, right angle, obtuse angle, and straight angle.

What is rectangle?

A rectangle is a four-sided polygon with four right angles. It has opposite sides that are parallel and congruent, and the opposite angles are also congruent. A rectangle can be defined by its length and width or by the coordinates of its vertices. Rectangles are a special case of parallelograms, which have opposite sides parallel but not necessarily congruent. The special properties of rectangles make them a popular shape in design and construction, such as in building and engineering.

A rectangle is defined as a four-sided polygon with four right angles. Opposite sides of a rectangle are congruent, but adjacent sides may or may not be congruent. Therefore, A and B are not sufficient to prove that the frame is a rectangle. Also, two adjacent angles being supplementary does not guarantee that the frame is a rectangle. The only way to be sure that the frame is a rectangle is if it has one right angle, this is the only way to ensure that all angles are right angles. Therefore, D) is the correct answer.

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There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 the same colour?

Answers

Answer: 2/12 (1/6 simplified)

Step-by-step explanation:

5+4+3=12

2 marbles of the same color

2/12

2/2=1

12/2=6

What is the value for the lower quartile of the set?

Answers

Answer:

I believe its 4

Step-by-step explanation:

Which side lengths does NOT form a triangle?
A
7 feet, 7 feet, 14 feet
B
11 inches, 14 inches, 17 inches
с
12 meters, 14 meters, 15 meters
D
6 kilometers, 8 kilometers, 10 kilometers

Answers

Answer:

6kilometers ,8 kilometers,10kilometers

I need this ASAP!

( Fractions and whole numbers)

Answers

Answer:

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

Step-by-step explanation:

One way of approaching this problem is to multiply the numbers the numerators together and then divide by the denominator to receive the quotient and the remainder.

Firstly 6 can be written as a fraction like so: [tex]\frac{6}{1}[/tex] because 6 divided by 1 is equal to 6.

To multiply two fractions together, we simply multiply the numerators and multiply the denominators:

[tex]\frac{7}{9}* \frac{6}{1} =\frac{7*6}{9*1}[/tex]

Which gives us the improper fraction of: [tex]\frac{42}{9}[/tex]

Next, we find the highest multiple of 9 which is smaller than 42. If we write out the multiples of 9 we will find that it is 36:

1x9=9, 2x9=18, 3x9=27, 4x9=36, 5x9=45

Since we know that at least 4 whole 9s go into 42 we can conclude that the coefficient of the fraction will be 4.

To find the fraction itself, we must find the remainder which we can do by subtracting 36 from 42: 42-36 = 6

The remainder is the numerator of the fraction as there are 6 ninths left over after we have divided 42 by 9.

Therefore our answer is [tex]4\frac{6}{9}[/tex]

If we divide 6 and 9 by 3 we will find that 6/9 is equivalent to 2/3 therefore our final answer is [tex]4\frac{2}{3}[/tex].

Option C is correct.

what is the x and y intercept of line, plz write as an ordered pair and plz give step by step explanation ​

Answers

Answer:

y-intercept: (0, 1)

x-intercept: (1, 0)

an x-intercept is when a line crosses the x-axis, and a y-intercept is when a line crosses the y axis.

you need to split it in half then multply then add

Answers

Answer:

130^2 or 130 meters squared

Step-by-step explanation:

I decomposed the figure, then found the area of the decomposed figures then found the sum of them.

FIGURE A:

3 x 3 = 9

= 9^2

FIGURE B:

11 x 11 = 121

= 121 meters^2

So 121 + 9 = 130

= 130 meters^2

REMEMBER!!!!

THE FORMULA FOR AREA IS LENGTH * WIDTH = AREA

A square has an unknown side length, 2x. Write a simplified expression for its perimeter (distance around the
outside of an object. Remember, side plus side plus...)

Answers

The simplified expression for its perimeter and area are 8x.

What is the perimeter of a square?

The perimeter of a square is the sum of the lengths of all the sides of a square. Thus, by summing the lengths of a square's four sides, we can get its perimeter.

An equal number of sides make up a square. As a result, the side of a square is added four times to determine the square's perimeter.

The formula for finding the Perimeter of square = 4*a

= 4 * 2x

= 8x

Perimeter of square = 8x

Hence, the simplified expression for its perimeter is 8x

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Plz, help me with this question!

Answers

Answer:

O  A. 8

Step-by-step explanation:

the line is 180, so subtract 140 to get 5x. 5x = 40 so divide by 5

180 - 140 = 5x

         40 = 5x

          /5    /5

            8 = x

Answer: X=8

Step-by-step explanation:

it is a 180 degree angle total.

180=5x+140

subtract 140 from both sides

40=5x

divide by 5 on both sides

8=x

Can you help me with this

Answers

Answer: (-4, -6)(9, 2):

y=8/13x - 46/13 (Point slope form: y + 6 = 8/13 *(x+4)

(-4,-6) (9,2) is the correct answer

SOMEONE PLEASE HELP ME WITH THIS QUESTION AND SHOW WORK ASAP.

Answers

Answer:

1,121.44 or 1,121.4 (nearest tenth)

Step-by-step explanation:

l = 16.8

w = 8.9

h = 16

A  = 2(lw + wh + lh)

2((16.8)(8.9) + (8.9)(16) + (16.8)(16))

2(149.52 + 142.4 + 268.8)

560.72(2)

Answer:

Below

Step-by-step explanation:

SA = 2(w x l + h x l + h w)

= 2(8.9 x 16.8 + 16 x 16.8 + 16 x 8.9)

= 1,121.44 m2

With rounding = 1,121.4 m2

Hope this helps!

9% of 40 is what number?

Answers

Answer:

3.6

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

(using proportion method)

40 x 9 = 360

100 x C = 100c

360 / 100c = 3.6

Can someone please answer this

Answers

Answer: The answer is -2 since it’s going through it in the graph.

12. Which set of ordered pairs below is a function?

Answers

Answer:D. 1 and 2

Step-by-step explanation:

Domain cannot repeat

Hello can someone please help me with this

Answers

1. The best geometric model for the rail road is C. Line

2. Two straight lines cannot go through any two points. It is false.

3. The length of the cake is A. 5.5 inches.

4. The vertical angles are AHC and GHE.

How to illustrate the information?

The best geometric model for a set of railroad tracks would likely be a line, as it represents the linear path that the tracks follow. A point would not be appropriate as it does not represent the length or direction of the tracks, and a plane would not be necessary as the tracks are linear and exist in a three-dimensional space.

It should be noted that two straight lines cannot go through any two points. Only one line can. The length of the cake will be:

= 6.0 - 0.5

= 5.5

It should be noted that vertical angles are equal. This was Illustrated as AHC and GHE.

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Please help will give brainliest

Answers

Answer:

Plz give

Step-by-step explanation:

Expressions have no equal sign while Equations have the equal sign

If it has an equal sign it is an equation

What are the factors of the expression x² 4x 3?

Answers

The factors of the expression x² 4x 3 are (x + 3)(x − 3).

What is factor?

Factor is a number that can be multiplied to produce another number. Factors are used to find the greatest common factor (GCF) and least common multiple (LCM) of two or more numbers. Factors are also used in equations to find solutions and in algebra to solve polynomials. Factors are also important in computing, since they are used to identify prime numbers and prime factorisation.

This is determined by using the factoring technique called factoring by grouping.

First, the expression is written in two groups: x2 and 4x 3. Then, each group must be factored. For the first group, the factors are x and x, since any number multiplied by itself results in the number itself. For the second group, the factors are 4 and 3, since 4 multiplied by 3 equals 12.

Next, the two factors of each group must be multiplied together. The product of x and 4 is 4x, and the product of x and 3 is 3x. The product of 4 and 3 is 12.

Finally, the two groups of factors are combined to form the final expression: (x + 3)(x − 3).

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Original price: $__
Percent of Discount: 25%
Sale price after discount: $40
What is the original sale price?

Answers

Answer:

$53.33

Step-by-step explanation:

A whole (100%)- 25% is 0.75

x*0.75=40

/0.75 /0.75

x=53.33333

round to the 2 decimal since this is money

Therefore the original sale price was $53.33

Have a nice day and I hope this helped. :D

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