the graph of y=x2+11x+24

Answers

Answer 1

The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of this equation: A. y= (x + 8)(x + 3)

In Geometry, a factored form is a type of quadratic equation that is typically written as the product of two (2) linear factors and a constant;

f(x) = a(x - r)(x - r)

a is the leading coefficient.

r is the roots or x-intercets.

Based on the information provided, we can logically deduce the following quadratic function;

[tex]y=x^2+11x+24[/tex]

By factorizing the quadratic function above completely, we have the following;

[tex]y=x^2+11x+24\\\\y=x^2+8x+3x+24\\\\y=x(x+8)+3(x+8)\\\\y=(x+8)(x+3)[/tex]

Complete Question:

The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of which equation?

y= (x + 8)(x + 3)

y = (x + 4)(x + 6)

y= (x + 9)(x+2)

y = (x + 7)(x + 4)

The Graph Of Y=x2+11x+24

Related Questions

Subtract t2 + 5t - 6 from t2 - 8t - 7.


A)
13t - 1


B)
13t + 13


C)
−13t - 1


D)
−13t + 13

Answers

Answer:

C

Step-by-step explanation:

t² - 8t - 7 - (t² + 5t - 6)

= t² - 8t - 7 - t² - 5t + 6 ( collect like terms )

= - 13t - 1 → C


Answer: C) −13t - 1

Step-by-step explanation: usatestprep approved

Regal Cinemas is selling tickets for the movie “Ghostbusters”. Tomorrow night , there are 73 tickets left to sell. If all the tickets are sold for the same price , the movie theater will make $438. Which of the following students have enough money to buy a ticket?

a. Amanda has $4.50.

b. Bernie has $7.00.

c. Chrissy has $6.50.

d. Dina has $6.00.

e. Evan has $5.00.

f. Frank has $14.00.

Who has enough money to go to the movie? ( write names below )

Answers

Answer:

Bernie, Chrissy, Dina and Frank

Step-by-step explanation:

if all 73 tickers are sold, the theatre makes $438 so each ticket is worth $438/73

this equals to $6.00 for one ticket

this means that Bernie, Chrissy, Dina and Frank have enough money to see the movie

Answer:

Bernie, Chrissy, Dina, and Frank are able to go.

Step-by-step explanation:

The question is not entirely clear. I take it that 73 tickets will bring in 438 dollars. If that is so, each ticket is selling for the solution of this proportion.

x / 1 = 438/73       Just do the division on the right

x = 6.00 dollars.

So Amanda will not be able to go.

Even will not be able to go.

Everyone else can.

The height y (in feet) of a toss in bocce ball can be modeled by y=-x^2+4x, where x is the horizontal distance (in feet)

Interpret the x-intercepts of the graph of the equation.

How far does the bocce ball land on the ground?

Answers

Final answer:

The x-intercepts of the equation represent the points where the height of the toss is equal to 0. The bocce ball lands on the ground at a horizontal distance of 0 feet and 4 feet.

Explanation:

The x-intercepts of the graph of the equation represent the points where the height of the toss is equal to 0.

In other words, these points represent the horizontal distance where the bocce ball lands on the ground.

o find the x-intercepts, we set y=0 and solve the equation:

0=-x^2+4x

x(x-4)=0

Therefore, the x-intercepts are x=0 and x=4.

This means that the bocce ball lands on the ground at a horizontal distance of 0 feet and 4 feet.

If one side of a rectangle is three less than the other side and the perimeter is 46 inches, find the area of the rectangle.

Answers

[tex]a-one\ side\ of\ rectangle\\a+3-other\ side\ of\ rectangle\\2a+2(a+3)=2a+2a+6=4a+6-the\ perimeter\\46\ in-the\ perimeter\\\\\text{The equation:}\\\\4a+6=46\qquad\text{subtract 6 from both sides}\\\\4a=40\qquad\text{divide both sides by 4}\\\\a=10\\\\a+3=10+3=13\\\\\text{Dimensions of the rectangle:}\ 10\ in\ \times\ 13\ in.\\\\\text{The area of the rectangle:}\\\\\boxed{A=10\cdot13=130\ in^2}[/tex]

how do you get better at slope.

Answers

Answer:

Use the slope formula.

Step-by-step explanation:

Input your x and y values to this:

(x - x1)/(y-y1) = m

About Slope: Rise

                      Run

Steepness of the linePositive Slope: Line goes upNegative Slope: Line goes downBigger than 1: SteepFraction: Bunny Slope- Not SteepIf the slope is negative, you go down/leftIf the slope is positive, you go up/right

Hi!!! If you still need more help, ASK!!! :) Hope this info helps you!!! :)


which equation describes the line which passes through the points (0. 17, 0) and (0, 0.51)

Answers

Final answer:

The equation of the line passing through the points (0, 17) and (0, 0.51) is x = 0.

Explanation:

The equation of the line that passes through the points (0, 17) and (0, 0.51) can be found using the slope-intercept form of a linear equation, which is y = mx + b. To find the slope (m), we use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the given points, we get m = (0.51 - 17) / (0 - 0) = -16.49 / 0, which is undefined.Since the slope is undefined, we cannot write the equation in the slope-intercept form.However, we can write the equation as x = 0, since the line passes through the x-coordinate of both points.

I have the data in that picture , I need help answering these questions that continue with that
F: how much money will Jason have in the bank after 9 weeks
G: if Jason has $80 left, how many weeks have passed

This is for question 2 in the picture

Answers

Answer:

F  $185

G 12 weeks

Step-by-step explanation:

Assuming your equation is correct

y = -35x +500

We want to let x=9

y = -35(9) +500

y = -315+500

y =185

Jason will have $185  after 9 weeks


If he has 80 dollars left we put that in for y and solve for x

80 = -35x +500

Subtract 500 from each side

80-500 = -35x +500-500

-420 = -35x

Divide each side by -35

-420/-35 = -35x/-35

12 = x

After 12 weeks he will have 80 dollars left

Make (X-12)/(x-8) equal to zero

A)-2
B)-8
C)2
D)8

Answers

Answer:

x=12 makes (X-12)/(x-8) equal to zero

x=8 makes (X-12)/(x-8)  undefined

Step-by-step explanation:

(x-12)/(x-8) = 0

The  first step is to multiply each side by x-8

 (x-8) *(x-12)/(x-8) = 0 * (x-8)

This cancels the denominator.  x≠ 8 because the denominator would equal 0 and then it becomes undefined.

x-12 = 0

Add 12 to each side

x-12+12 = 0+12

x = 12


I

On order for two triangles to be similar, all corresponding pairs of angles be

Answers

Answer: similar


Step-by-step explanation:


Answer:

Answer is similar

Step-by-step explanation:


Which quantity is proportional to 35⁄80?

Answers

I believe this is the answer

7/16



Answer:

7/16

Step-by-step explanation:

Well the biggest number that is divisible by 35 and 80 is 5

A shop is selling a phone for $80. The shop increases the price by 10%. What is the new price

Answers

The new price is 88 dollars
It would cost 88$
10*0.8 = 8
8+80 = 88

simplify (-6a5b4c3)(5a3b2c)

Answers

[tex]\text{Use:}\\\\a^n\cdot a^m=a^{n+m}\\\\(-6a^5b^4c^3)(5a^3b^2c)\\\\=(-6\cdot5)(a^5a^3)(b^4b^2)(c^3c^1)\\\\=-30a^{5+3}b^{4+2}c^{3+1}\\\\=\boxed{-30a^8b^6c^4}[/tex]

HOW MANY GRAMS IN AN OUNCE

Answers

Answer:

28.3495

1 ounce = 28.3496 ounces


The conversion factor for ounces and grams.

1 ounce is equal to approximately 28.4 grams.

HELP NOW PLLLLLZZZZZ!

A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? [1 mile = 1.6 km]

A. 0.3

B. 0.8

C. 2.5

D. 3.2

Answers

Answer: The car would need 0.3 gallons of fuel to travel 20km.

Step-by-step explanation: 40mile x 1.6km = 64km

                                           1 gallon     1 mile    1 gallon

20km ÷ 64km = 0.3125

Answer:

In 0.3 gallon of fuel, the car will travel 20 km.

A is the correct option.

Step-by-step explanation:

We have been given that in 1 gallon of fuel the car can travel 40 miles.

Now, 1 mile = 1.6 km.

Hence, in 1 gallon the car travel 40×1.6 = 64 km

Let the car will consume x gallons of fuel to travel 20 km.

Thus, we have the equation

[tex]\frac{1}{64}=\frac{x}{20}[/tex]

ON solving for x

[tex]x=\frac{20}{64}\\\\x=0.3[/tex]

Therefore, in 0.3 gallon of fuel, the car will travel 20 km.

A is the correct option.

I bought 4 hamburgers and 3 fries for $14.25 and the next day I bought 3 hamburgers and 5 fries for $15.50 find out the price for each hamburger and fry

Answers

Answer:

The cost of a hamburger is 2.25

The cost of fries is 1.75

Step-by-step explanation:

Let h = cost of hamburgers

let f= cost of fries

4h + 3f = 14.25

3h+5f = 15.50


I will solve these by elimination

Multiply the 1st equation by 3

3(4h + 3f )= (14.25)3

12h +9f = 42.75

Multiply the 2nd equation by -4

-4(3h+5f )= -4(15.50)

-12h - 20f = -62


Add the modified equations together

12h +9f = 42.75

-12h - 20f = -62

----------------------------

-11 f = -19.25

Divide each side by -11

-11f/-11 = -19.25/-11

f = 1.75

Now we need to find the cost of the hamburger

3h+5f = 15.50

Substitute the cost of the fries in

3h + 5(1.75) = 15.50

3h +8.75 + 15.50

Subtract 8.75 from each side

3h = 15.5-8.75

3h =6.75

Divide by 3

3h/3 =6.75/3

h = 2.25

Of the total number of pages in a book, 62% have pictures and the rest have no pictures. There are 310 pages with pictures in the book. What is the total number of pages in the book? How many pages in the book have no pictures?

Answers

Answer:

500 total pages. 190 pages with no pictures.

Step-by-step explanation:

310 is 0.62 of the total pages. 310 divided bye 0.62 is 500.

500 minus 310 is 190 pages with no pictures.

Hope this helps!

bryan says all prime numbers are odd numbers list all the prime numbers less than 20 in a numerical order

Answers

this is a list of all the prime numbers less than 20 in numerical order
Final answer:

Prime numbers less than 20 in numerical order are 2, 3, 5, 7, 11, 13, 17, and 19. Note that 2 is the only even prime number.

Explanation:

Bryan's statement that all prime numbers are odd numbers is not entirely correct. By definition, prime numbers are numbers that have only two distinct positive divisors: 1 and the number itself. Therefore, the number 2 is considered a prime number, despite being even. Listing all the prime numbers less than 20, we have:

235711131719

Note that apart from 2, all other prime numbers are indeed odd numbers.

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The rule at Anna's house is that if she eats all of her vegetables and does all of her does each day, she earns 2 hours of Internet time which she can save. Anna started her week with 3 hours saved. If she eats all of her vegetables and does all of her chores each day for 4 days straight how many hours does she have after the four days she uses 6 hours of her internet time

Answers

Answer:

5 Hours

Step-by-step explanation:

Given :- 2 hours can be earned each day if she eats all of her vegetables and does all of her chores.

Saved hours at the start of the week = 3 hours

Hours earned in 4 days = 2 hours × 4

                                       = 8 hours

Hours used in 4 days = 6 hours

Hours left after 4 days = Saved hours at the start of the week + Hours earned in 4 days - Hours used in 4 days

Hours left after 4 days = 3 + 8 - 6

                                       = 5 hours

15. You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much would you pay at the physical store after all discounts, taxes, and shipping fees have been applied?

Answers

The total amount you would pay at the physical store after all discounts, taxes, and fees have been applied is [tex]{128.36} \)[/tex].

Let's go through the calculations again to find the final cost at the physical store after all discounts, taxes, and fees.

Physical Store Pricing:

- Batteries: 2 packs at $5.99/pack

- Stereo: 1 system at $100.00

- CDs: 3 CDs at $7.95 each

Discounts and Taxes in the Physical Store:

1. 10% Off Coupon: This coupon applies to the total purchase amount before tax.

2. Sales Tax: 5% sales tax applies to the total purchase amount after applying discounts.

Calculation Steps:

Step 1: Calculate the total cost of items before discounts and tax:

- Batteries: 2 packs × $5.99/pack = $11.98

- Stereo: $100.00

- CDs: 3 CDs × $7.95/CD = $23.85

Total before discounts: $11.98 + $100.00 + $23.85 = $135.83

Step 2: Apply the 10% off coupon:

- 10% of $135.83 = $13.583

- Total after 10% off: $135.83 - $13.583 = $122.247

Rounded to two decimal places: $122.25

Step 3: Apply the 5% sales tax:

- 5% sales tax on $122.25:

[tex]\[0.05 \times 122.25 = 6.1125\][/tex]

Rounded to two decimal places: $6.11

Step 4: Calculate the final cost at the physical store:

- Total cost after tax: $122.25 + $6.11 = $128.36

The complete question is

You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much would you pay at the physical store after all discounts, taxes, and shipping fees have been applied?

Item          Quantity        Physical Store           Online Store

Batteries    2 packs            $5.99/pack                $4.99/pack

Stereo        1 system           $100.00/system        $90.00/system

CDs            3 CDs               $7.95/CD                    $8.95/CD

a) 2/3 divided by 1/4 b) 7/5 multiply by 8 c) 2/5-1/3 d)3/10+2 7/12

Answers

[tex]a)\\\dfrac{2}{3}\div\dfrac{1}{4}=\dfrac{2}{3}\cdot\dfrac{4}{1}=\dfrac{8}{3}=2\dfrac{2}{3}\\\\b)\\\dfrac{7}{5}\cdot8=\dfrac{56}{5}=11\dfrac{1}{5}\\\\c)\\\dfrac{2}{5}-\dfrac{1}{3}\\\text{common denominator is (5)(3) = 15}\\\\\dfrac{2\cdot3}{5\cdot3}-\dfrac{1\cdot5}{3\cdot5}=\dfrac{6}{15}-\dfrac{5}{15}=\dfrac{1}{15}\\\\d)\\\dfrac{3}{10}+2\dfrac{7}{12}\\\text{common denominator is 60}\\\\\dfrac{3\cdot6}{10\cdot6}+2\dfrac{7\cdot5}{12\cdot5}=\dfrac{18}{60}+2\dfrac{35}{60}=2\dfrac{53}{60}[/tex]

What is the relationship between 0.8 ÷ 10^2 and 0.8×10^2

Answers

[tex]0.8\times10^2\ \text{is 10,000 times greater than}\ 0.8\div10^2\\\\\dfrac{0.8\times10^2}{0.8\div10^2}=\dfrac{10^2}{1\div10^2}=\dfrac{10^2}{\frac{1}{10^2}}=10^2\times10^2=10^4=10,000[/tex]

Dividing 0.8 by 10² moves the decimal two places to the left, resulting in 0.008. Multiplying 0.8 by 10² moves the decimal two places to the right, resulting in 80. Thus, the two operations produce different magnitudes of the original number.

Understanding the Relationship Between 0.8 ÷ 10² and 0.8 × 10²:

In mathematics, it's essential to understand how operations involving powers of ten affect numbers. Let’s break down the operations:

0.8 ÷ 10²: When you divide a number by 10 raised to the power of 2 (which is 100), you move the decimal point two places to the left. So, 0.8 ÷ 100 = 0.008.

0.8 × 10²: When you multiply a number by 10 raised to the power of 2, you move the decimal point two places to the right. So, 0.8 × 100 = 80.

We can conclude that 0.8 ÷ 10² results in moving the decimal to the left, making the number smaller (0.008), while 0.8 × 10² results in moving the decimal to the right, making the number larger (80).

can someone help me with this question
?

Answers

The answer is the top left corner choice

The first line of each box is the same, so we can move onto the second line. In the top left corner, the negative 1 is being distributed to every term in (5 - 3x) to have the signs flip and give us -5 + 3x. The other stuff stays the same.

Answer:

The top left corner

Step-by-step explanation:When you have to simplify an expression, distributing is a common way to begin, since it’s easier and it helps to get rid of that 1, which makes the process of simplifying easier

The 10 members of the swim team completed the following numbers of laps at today's practice.
22, 78, 79, 80, 81, 86, 88, 91, 91, 92
Identify all values that are outliers.
If there is more than one outlier, separate them with commas.
If there are no outliers, click on "None".

Answers

Answer:

There is ONE outlier in this problem. The outlier is 22.

Step-by-step explanation:

The outlier is 22 because for a number to be an outlier, it has to be much smaller or much larger than the other values in a set of data. 22 is very far away from the given numbers.

What is the approximate volume of the cylinder. Use 3.14 for TT
A.) 1,017.36 cm^3
B.) 452.16 cm^3
C.) 113.04 cm^3
D.) 226.08 cm^3

Answers

Answer:

I BELIEVE ITS B


Step-by-step explanation:


Answer: 452.16

Step-by-step explanation:

Ms. Blankenship had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost $1.40, and each box of crayons cost $0.59. How much money did Ms. Blankenship have left after these purchases?

Answers

Answer:

$16.32

Step-by-step explanation:

$1.32 Per Stick Times 32 = $44.80

$.59 Per Crayon Box Times 32 = $18.88

$44.80 + $18.88 = $63.68

$80 - $63.68 =     [$16.32]

A man buys a cycle for $1400 and sells it at a loss of 15%. What is the selling price of the cycle?

Answers

Answer:

1190

Step-by-step explanation:

1400 - 15% to get the answer.

Hope This Helps!

1190 is your answer! The way you get it is 1400 - 15% =1190 :)

What is the quotient of 22,389 ÷ 13?
1,029 R12
1,706 R11
1,722 R3
1,645 R4

Answers

Answer:

1,722

Step-by-step explanation:


Answer:

1,722 remainder 3 is the correct answer. I didn't do the problem by hand, but for multiple choice answers, you can always just use a calculator to find the answer and the remainder will be given

15 people received an email and sent it to 3 different friends each, who in turn sent it to 2 new people. What percent of the total number of people who received the email are in the original 15 people?

Answers

Step 1: Multiply 15 by 3, which equals 45.
Step 2: Multiply 45 by 2, which gives you 90.
Step 3: Add everything up. 15 + 90 + 45 is 150
Step 4: Find the percent of 15 people in a group of 150 people by diving 150 by 15.

150 / 15 = 10.

FINAL ANSWER: 10%

The 10% of people  who received the email are in the original 15 people.

What is percent?

A number or ratio that can be expressed as a fraction of 100 is called a percentage. Divide the number by its whole number and multiply it by 100 if we have to figure out the percentage of that number. Consequently, the percentage represents one part per hundred. The word "per 100" means "per percent." The number "%" is used to symbolize it.

Given email received by people = 15

sent to 3 different people

the number of people have email = 15 x 3 = 45

then 45 people send it to 2 new

number of people email have = 45 x 2 = 90

total number of person who have email = 15 + 45 + 90 = 150

To the percent of 15 people in a group of 150 people by diving 15 by 150

15/150(100) = 10%

Hence people who received the email are in original 15 is 10%.

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I don’t want the answer but how to do solve this problem and how to solve scale factors...please help!!

Answers

Step-by-step explanation:

Scale Factor (SF)

The scale factor is the number you multiply the real by to get the model, it can also be used the other way, for instance if a map's SF was 1in=1ft (or times 12) every 2 inches on the map would be 24 inches (or 2 ft) in real life.

If the SF is lower than 1 (a decimal like .7 for instance) then the result will be smaller (for Real to Model)

for the first one, 80 times the SF will equal 25

80 * X = 25

^Here is it in equation form, X being the scale factor

isolate X (or find what x equals by getting it by itself)

divide each side by 80

X = 25/80

simplify or divide

X = 5/16 or x = 0.3125 (Both of these ca.

which of the following is not an example of a rate 2 cup for every 3 cups 120 beats per minute 16 ounces for $2 8 inches per 12 hours

Answers


The first one because it’s a ratio
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