Select ALL choices that are zeros of this function y=x2 +12x +32

Answers

Answer 1

Answer:

{-8, -4}

Step-by-step explanation:

Rewrite this function y=x2 +12x +32 as y = x^2 + 12x + 32; " ^ " indicates exponentiation.

Set this x^2 + 12x + 32 equal to zero (to find the zeros):  

x^2 + 12x + 32 = 0.  Let's solve this using the quadratic formula, which applies when ax^2 + bx + c = 0:

       -b ± √(b^2 - 4·a·c)

x = -------------------------------

                    2a

The coefficients of the given quadratic are {1, 12, 32}.  Thus, the discriminant is

b^2 - 4ac, or 12^2 - 4(1)(32), or 144 - 128, or 16. Therefore, we have:

       -12 ± √16                                                     -12 ± 4

x = --------------------    which simplifies to:    x = --------------- = { -8, -4}

              2                                                                  2

The zeros are {-8, -4}


Related Questions

builder has some red and grey bricks. The red bricks weigh 7 kilograms each, and the grey bricks weigh 5 kilograms each. If the total weight of all 4 bricks is 22 kilograms, how many of each type of brick does Cara have?

​ red bricks

​ grey bricks
Please help!!!!

Answers

Answer:

3 grey and 1 red

Step-by-step explanation:

5 x 3 = 15

15 + 7 = 22

-5x + 4y = 7
-5x - 3y = -14

Answers

Answer:

1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]

2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]

Step-by-step explanation:

Don’t answer if you don’t know, it’s rude

Word search

Vertical, diagonal.horizontal,
backwards
I’ll appreciate if u find atleast 1

Answers

Answer:

down here :)

Step-by-step explanation:

Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.

Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.

1. a line that is parallel to y=3/4x-9 has slope m=___________

Answers

parallel means same slope so it’s also 3/4

Answer:

Hi! The answer to your question is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

This equation is in y=mx+b or -b which is Slope Intercept form for Graphing basically y is the y intercept and b means slope, you don't have to do anything extra to find the slope when its in Slope Intercept Form all you have to do is look for usually its a fraction but it can also be a number but all you have to look for is the number that comes before b in the equation! If this has helped you please say that this has helped, if it hasn't please tell me what confuses you and i can quickly clear up that confusion! Have a nice day!

Eighth grade) W.16 Create equations with no solutions or infinitely many solutions Learn with an example v Find the missing number(find blank) so that the equation has no solutions. (blank) X - 5 = 3x + 10 ​

Answers

Answer:

i dont know if this is the right but i think its -5

Step-by-step explanation:

2^(4- )8+16 *2
simplify

Answers

Answer:

-32

Step-by-step explanation:

PLEASE HURRY. THIS IS FROM A TEST AND I GOT THE QUESTION WRONG.

Answers

Answer:

60

Step-by-step explanation:

5*3=15

3*3=9

4*3=12

4*3=12

4*3=12

(12*3)+9+15= 60

Answer:

i think the voulme would be 60 cm

Step-by-step explanation:

im sorry if its wrong

Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction.

Answers

Answer:

We have 31/36 gallons of paint left after painting the mural.

Step-by-step explanation:

"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."

==================================================================

First change each number into a improper fraction:

1 1/8 = 9/8

1 1/9 = 10/9

7/8 = 7/8

=================================================================

"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"

  -We have to multiply 3/4 by 2/2 to make the denominators same.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 9/8.

9/8 - 6/8 = 3/8

We will have 3/8 gallons of yellow paint.

==================================================================

"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"

     - We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.

10/9 × 4/4 = 40/36

3/4 × 9/9 = 27/36

Now subtract 27/36 from 40/36

40/36 - 27/36 = 13/36

We will have 13/36 gallons of green paint.

==================================================================

"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"

        -We have to multiply 3/4  by 2/2 to get a common denominator.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 7/8.

7/8 - 6/8 = 1/8

We will have 1/8 gallons of yellow paint.

==================================================================

Now, we will add the leftover amounts of paint to find the answer.

3/8 + 13/36 + 1/8

Add "like terms".

4/8 + 13/36

Simplify 4/8 into 1/2

1/2 + 13/ 36

Multiply 1/2 by 18/18 to get a common denominator.

1/2 × 18/18 = 18/36

Substitute 18/36 as 1/2 in the expression.

18/36 + 13/36 = 31/36

So, We have 31/36 gallons of paint left after painting the mural.

==================================================================

Hope I helped, Have a nice day!

              -Aadi x

. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?

Answers

Answer:

y = 6.5 units

Step-by-step explanation:

Let L be the length of sides of the square.

Given the following data;

Perimeter of square = 8y - 12

Area of square = 100 square units

To find the value of y;

Area of a square = L²

Substituting into the formula, we have;

100 = L²

L = √100

L = 10 units

Mathematically, the perimeter of a square is given by the formula;

Perimeter of a square = 4L

Substituting into the formula, we have;

8y - 12 = 4*10

8y - 12 = 40

8y = 40 + 12

8y = 52

y = 52/8

y = 6.5 units

The gene that causes brown fur in a rabbit develops a
mutation that results in white fur.
How would this mutation most likely affect a rabbit that lives in a snowy
climate?

Answers

Answer:

It would help the rabbit by blending in with the environment and avoiding predators.

Step-by-step explanation:

I got the question right ap3x

Answer:

Step-by-step explanation:

It would help the rabbit by blending in with the environment and avoiding predators.

Which graph represents the function y = 4?

Answers

Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

You start at (9, 3). You move down 3 units. Where do you end?

Answers

Answer:

9,6 good luck with the answer

answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)

is anybody can help me with this one?
[tex]5(1 + n) = 2n ^{2} - 2[/tex]

Answers

Answer:

n = -1 , 3.5

Step-by-step explanation:

Move the terms to the left side and set equal to zero. Then set each factor equal to 0

am i doing this correctly?

Answers

Yes that is how you do it

Q. You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule
represents your business model?
answer choices
Cy=13x + 7.5
f y=13x - 7.5
By=20.5%
Dy=7.5x + 13

Answers

Answer:

Cy

Step-by-step explanation:

x is the number of hours

The answer to your question is Cy

In the scenario:

“The number of ways to place 12 pictures in identical picture frames.”

Determine if it is a combination or permutation.


Combination

Permutation

Answers

Answer:

Combination

Step-by-step explanation:

Answer:

This would be a Permutation.

Michael rolled a number cube that has sides labeled 1 to 6. What is the probability that he rolled a 2 and then a 4?

Answers

Answer:

3/4

Step-by-step explanation:

A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62

Answers

Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax

Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold daily:

A scatter plot is shown with the title Naomis Popsicle Stand. The x axis is labeled High Temperature, and the y-axis is labeled Number of Popsicles Sold. Data points are located at 90 and 20, 85 and 17, 70 and 14, 75 and 20, 60 and 16, 50 and 14, 60 and 12, 40 and 10, 50 and 12, 80 and 8.

Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept. (3 points)

Answers

Answer:

Answer:

A.  The temperature of the city and the number of popsicles sold are positively correlated

B.

Slope: 0.1233

Y-Intercept: 6

Step-by-step explanation:

Being dead honest with you less people will answer if there isn;t a photo, But I can't be 100% sure of my answer being there isn't one.

(90,20)

(40,10)

40-90= -50

10-20= -10

-10/-50= 0.2

Thats the slope line I used 2 random numbers, I don't know the order so it might be wrong.

Well look at your graph are the lines going up or down as x increases?

From my assighment it is a increase.

Plz help ASAP I’ll give brainliest!

Answers

Answer:

It's 35 months old and weighs 82 kilograms

The data is given in x, y, so the answer will also go in the order x, y.

Hope this helps! :)

Which statement is true?
A, (10⁵) (10⁻²) > 8⁹/8⁶
B, (10⁵) (10⁻²) < 8⁹/8⁶
C, (10⁵) (10⁻²) = 8⁹/8⁶

Answers

Answer:

A, (10⁵) (10⁻²) > 8⁹/8⁶

Explanation:

A, (10⁵) (10⁻²) > 8⁹/8⁶ = 10³ > 8³ True

B, (10⁵) (10⁻²) < 8⁹/8⁶ = 10³ < 8³ False

C, (10⁵) (10⁻²) = 8⁹/8⁶ = 10³ = 8³ False

plss help i’ll give brainliest thank you!

Answers

Answer:

its 36 can you give me brainlyyy pleaasee

Answer:

36

Step-by-step explanation:

18 goes into 9 but not 12.

24 goes into 12 but not 9.

36 goes into 9 also into 12.

48 goes into 12 but not 9.

Hope this helps!

[tex]3\sqrt{x} -1\leq 12[/tex]

Answers

Answer:

0≤x≤169/9

Step-by-step explanation:

The price of a scooter was Rs. 34000 last year. It has increased by 25% this year. Then the increase price is? Please in step by step answer method. I will mark you branliest.

Answers

Answer:

Rs. 42500

Step-by-step explanation:

100% + 25% = 125% ÷100 = 1.25

34000 x 1.25 = 42500

What is the area? Please help

Answers

Answer:

75

Step-by-step explanation:

A=1/2h(a+b) =10÷2=5(10+5)

=5×15

=75
The answer is =.5*(10+5)*10
=75mm

Please help!!! I’ll mark you as brainliest!!!

Answers

Ok I’ll break this down so it’s easier to understand:

So you start of with $80

The first step is to find 20% off

An easy way to find 20% is to divide it by 5.

80/5= 16

And since it’s 20% OFF we subtract 16 from 80

80-16= 64

Next we need to do the coupon

It is $5 off so

64-5= 59

And finally the rebate which is $2

59-2= 57

Answer:
57

Answer:

$57

Step-by-step explanation:

→ Do 20% of $80

( 20 × 80 ) ÷ 100 = 16

→ Add 5 to the previous answer

5 + 16 = 21

→ Add 2 to 21

2 + 21 = 23

→ Minus 23 from the total price

80 - 23 = $57

(I'll mark brainliest)Sam is planning a birthday celebration for his coworker. He drew the map below to show the places he needs to drive to get party supplies. The 'nap has a scale 1 inch to 25 miles.


Sam is currently at the bakery and his next stop is the florist. What is the actual distance, in miles, between the two places?

A. 10.0

B. 27.5

C 62.5

D.75 0

Answers

The correct answer is letter C

Please help!!! : )))
Sorry it's flipped lol

Answers

Answer:

20-24

Step-by-step explanation:

you can see that when you find the middle of the total data the data set left is in the 20-24 category

hope this helps! :)

D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?​

Answers

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

Please help, thankss

Answers

Answer:

The second option 5x.

Step-by-step explanation:

Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)

B. the second choice
Other Questions
what is a constitution two resistors, 5.0 ohm's each can be combined to give an equivalent resistance of Help, please :)What type of bond is being shown here?A. Single covalentB. Double covalentC. Triple covalentD. None 1. What power does the U.S. Constitution give to Congress related to the court system If anyone can help i would appreciate it. Ill give brainiest to anyone who answers with out a link Please no links1. Which statement below is true?A. The Earth projects a shadow on the moon.B. The moon is always half lit by the sun no matter where it is.C. As the moon travels around the Earth, the Earth shadows portions of it. D. The Earth rotates around the moon causing a difference in light and shadows. 53:42Migration and interdependence are aspects of which of the six essential elements of geography?A.human-environment interactionB.human systemsC.environment and societyD.movement Help me please. This is due later today~ What is the area of the rectangle with the given dimensions? *The dimensions of a rectangle are 2x - 5 and3x + 3. Which expression represents the areaof the rectangle in simplest terms?F 6x2 - 9x - 15G 6x2 - 9x + 15H 6x + 9x - 15J 6x - 15x - 9 A balloon has a volume of 5.0 L at a pressure of 0.863 atm. What is the volume of the balloon inliters if the atmospheric pressure is reduced to 0.321 atm? Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify? Suppose you are interested in taking an FHA mortgage loan for $350,000 in order to purchase your principal residence. In order to do so, you must pay an additional up-front mortgage insurance premium (UFMIP) of 1.0% of the mortgage balance. If the interest rate on the fully amortizing mortgage loan is 6% and the term is 30 years and the UFMIP is financed (i.e., it is included in the loan amount), what is the dollar portion of your monthly mortgage payment that is designated to cover the UFMIP You are setting up a small network. The customer has decided to change his internet service provider (ISP) to EtherSpeed. The ISP has installed a connection to both RJ45 jacks on the wall plate. You are responsible for selecting the correct router to connect the network to the internet. You want to use the fastest connection speed available while providing for security for both the Home-PC and Home-PC2 computers.Your task is to complete the following: Use the appropriate network components to connect the two computers to the new ISP. Place the Ethernet router with firewall capabilities on the Workspace. Use the existing Cat5e Ethernet cables to connect the computers to the router's integrated Ethernet LAN ports. Use the AC to DC power adapter to plug in the device. Use the Network and Sharing Center on both computers to confirm that the computers are properly connected to the network and internet. what is the value of a and b Will give brainlst Have a nice day Brad, a manager at a new investment firm, is performing job evaluation. He selects 12 benchmark jobs in the firm and then ranks each of these jobs against compensable job factors such as physical effort, responsibility, skill, and nature of the working conditions. This ranking is based on job descriptions created during job analysis. Later, the management meets as a group and develops a consensus on the assigned values for each job. In the given scenario, which of the following systems or methods is Brad most likely using for job evaluation?A) The point systemB) The classification systemC) The factor-comparison methodD) The market-basket analysis method The following information relates to Mountain Transportation for its first year of operations (data in millions of dollars): Pretax accounting income: $ 300 Pretax accounting income included: Overweight fines (not deductible for tax purposes) 8 Depreciation expense 80 Depreciation in the tax return using MACRS: 160 The applicable tax rate is 40%. There are no other temporary or permanent differences. Mountain's net income ($ in millions) is: Large cities in the U.S. often formed near the ocean.What benefit does the ocean provide for people in nearby large cities? angie needs 8 cups of oliv oil to make a recipe if olive oil costs $4.00 a pint how much money will she need to buy the olive oil Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 = 5 4 start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=