The graph of y = x2 + 11x + 24 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)

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

The equivalent expression to the given quadratic equation is:

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

Which equation is equivalent to the given one?

Here we start with:

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

To solve the problem, we need to find the roots of the quadratic equation, to do it, we will use the Bhaskara's formula:

[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*24} }{2} \\\\x = \frac{-11 \pm 5 }{2}[/tex]

Then the two solutions are:

x = (-11 + 5)/2 = -3x = (-11 - 5)/2 = -8

Meaning that we can write the cuadratic equation as:

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

So the correct option is the first one.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

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Related Questions

The number of points, Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored?

Answers

Answer:

Jaden could have scored 0, 7, 14, 21, 28, 35 or 42 points.

Step-by-step explanation:

Multiples of 7 less than 45:

7*0 = 0

7*1 = 7

7*2 = 14

7*3 = 21

7*4 = 28

7*5 = 35

7*6 = 42.

7*7 = 49(above 49 so does not count in the context of this question).

How many points could Jaden have scored?

Jaden could have scored 0, 7, 14, 21, 28, 35 or 42 points.

hey! i’ll give brainliest help thanks

Answers

Answer:

incorrect because essential means important

What is the surface area of the triangular prism shown
below?
3 cm
5 cm
8 cm
4 cm

Answers

Answer:

108 cm^2

Step-by-step explanation:

SA = PH + 2 * 1/2bh

SA = (3 + 4 + 5)(8) + 2 * (1/2) * 3 * 4

SA = 96 + 12

SA = 108

Answer: 108 cm^2


43 - 12y = 8
41 + 12y = 56

Answers

Answer:

no solution

Step-by-step explanation:

+12y and -12y cancel each other out.

we are left with 43+41=8+56

84 doesn't equal 64

so NO SOLUTION

please help :),))))

Answers

Answer:

option 1

Step-by-step explanation:

The rate of increasing is the fastest in exponential functions.

Then comes powers and last logarithmic functions.

The order it increases at the fastest rate.

[tex]log < powers < exponential[/tex]

I need help with this one thank you.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

y=50 but i dont know x, sorry about that its cause im in class rn lol

Answer:

x= 127

y = 50

Step-by-step explanation:

y = 180 -130(angles on a straight line)

y= 50

x= 360-(123+60+50). angles in a quadrilateral

x = 360- 233

x= 127

Please answer this correctly

Answers

the rate of change is 5/4
X=4/5 or alternatively x=0.8

What is the surface area of a conical grain storage tank that has a height of 54 meters and a diameter of 18 meters round the answer to the nearest square meter

Answers

Answer:

1803 square meter

Step-by-step explanation:

The surface area of a cone

A=πr(r+V(h2+r2))

where A is the surface area, r is the radius and h is the height

Given that the height of 54 meters and a diameter of 18 meters, the radius is half the diameter hence

radius = 18/2 = 9 m

A = 9π (9 + V(54^2 + 9^2))

= 9π (9 + V2997)

= 9π (9 + 54.74486)

= 1803.068976 Square meters

To the nearest square meter

A = 1803


Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages Is 180 and the standard deviation is 30
pages, what can you conclude?
ΟΑ
About 60% of the books have fewer than 150 pages.
ОВ.
About 16% of the books have fewer than 150 pages.
Ос.
About 95% of the books have more than 150 pages.
OD.
About 16% of the books have more than 150 pages.
Reset
Next

Answers

Answer:

above 95 percentage is the correct answer right away

What percentage of 52 is 26?

Answers

Answer:

Hello There!!

Step-by-step explanation:

50% of 52 is 26.

hope this helps,have a great day!!

~Pinky~

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

26 is 50% of 52

Thanks.Hope it helps

What is the solution to 1/2|x|=-3?

A. X = -6
B. X= -6 or x = 6
C. X = -6 or x = 2
D. No solutions exist

Answers

Answer:

The answer is D: No solutions exist

A box is designed to hold pencils the front of the box will be made of a clear material for display. The rest of the box will be made from cardboard

Answers

Answer:

100 cm²

Step-by-step explanation:

Given that :

Length of prism = 20 cm

Height, h = 5cm

Width, w = 4 cm

The surface are of the side with clear material can be obtained by calculating the area of rectangule (front)

Area of rectangle = Length * height

Area = 20 * 5 = 100 cm²

Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller share.

Answers

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let  x = the amount of one share.  The other share is 1785 - x.  You don't have to worry about which is smaller--that part will work out automatically!

The two shares are in the ratio of 2:3, so set up the proportion

[tex]\frac{x}{1785-x}=\frac{2}{3}[/tex]

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for  x  by "cross multiplying" -- use the Means-Extremes Property of proportions.

[tex](3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714[/tex]

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.

I will give you brainliest and 5 star and thanks if its correct

Answers

Answer:

The Indapendent virable is: t

Noah took 4 hours to walk 12 miles

(7 1/2, 2 1/2)

Step-by-step explanation:

Please Mark Brainliest

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

Math please help I will be happy :)

Answers

I believe it is 89 percent :)

Answer:

89

Step-by-step explanation:

mark it as the brainliest

Just type it no files please help

Answers

Answer:

yes 4x5 is 4 rows of 5

Step-by-step explanation: brainiest

please

Answer is true 4×5 means 4 rows of 5

Given the following quadratic function what’s the value of a, B, and C?

f(x)= 3x^2 - 5x -12

Answers

Answer:

Below.

Step-by-step explanation:

a = 3, b = -5 and c = -12.

what is 1+7-4(8-9) no links or scams​

Answers

Answer: =12

Step-by-step explanation: Hope this help :D

Find the missing length of the triangle. 3.4 and 3.0

Answers

Answer:

4

Step-by-step explanation:

3 + 3.4 = 6.4

which is greater than 4

the sum of the 2 smallest sides have to be greater than the largest side

The midpoint of AB is M (-2,0) . If the coordinates of A are (1,-7), what are the coordinates of B

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

B (- 5, 7 )

Step-by-step explanation:

Using the midpoint formula, then equate x and y coordinates

let coordinates of B = (x, y ) , then

[tex]\frac{x+1}{2}[/tex] = - 2 ( multiply both sides by 2 )

x + 1 = - 4 ( subtract 1 from both sides )

x = - 5

[tex]\frac{y-7}{2}[/tex] = 0

y - 7 = 0 ( add 7 to both sides )

y = 7

Coordinates of B = (- 5, 7 )

Mrs. Franklin sells MSU hats and sweatshirts. She is hoping to earn $500 by charging
$20 for each sweatshirt and $10 for each hat. If she sells a total of 30 items, Mr.
Sanders wants to know how many of each item she sells.
Let H represent the number of hats and S represent the number of sweatshirts.
What equation relates S and H to the total Money earned?
0 205 + 10H - 500
O 105 + 20H = 500
105 - 500
10H - 400

Plz help

Answers

Answer:

for the next week and I don't want you guys watch

Step-by-step explanation:

hi there there no no of I following help to this online as

$500 + $20 = 30 south of course and I

I actually have two questions that are similar.

A card is drawn from a standard deck of cards. What is the probability
that a spade is drawn, then replaced, and a red card is drawn second?

A card is drawn from a standard deck of cards. What is the probability that a spade is drawn, NOT replaced, and another spade is drawn?

Answers

Answer:

how much would you have paid for 2000 units in August 2019

6 mi 8 mi What is the length of the hypotenuse? miles​

Answers

Answer:

10 miles

Step-by-step explanation:

6² + 8² = x²

36 + 64 = x

36 + 64 = 100

√100 = 10

Answer:

6) 1/2 + 1/2 + 1/2 + 1/2 = 4/2 = 2 inches.

7)  5/8 + 5/8 + 5/8 = 15/8 = 1 7/8 inches.

8)  We've added the 1/2-inch crystals together and the 5/8-inch crystals together.  Adding together the 3/4-inch crystals we have:

3/4 + 3/4 + 3/4 = 9/4 = 2 1/4 inches

Adding together the 3/8-inch crystals we have:

3/8 + 3/8 + 3/8 = 9/8 = 1 1/8 inches.

Totaling what we have:

2 + 1 7/8 + 2 1/4 + 1 1/8

= 2 + 1 7/8 + 2 2/8 + 1 1/8 (you can only add fractions if they have common denominators)

= 6 + 7/8 + 2/8 + 1/8 (add the whole numbers together)

= 6 10/8 = 6 + 1 2/8 = 7 2/8 = 7 1/4 inches.

9)  To find an average, we add all of the data points together and divide by the number of data points.  We added them in number 8.  Now we divide this total, 7 1/4, by 13:

7 1/4 ÷ 13 = 29/4 ÷ 13/1 = 29/4 × 1/13 = 29/52 inches average for the crystals.

Step-by-step explanation:

find the cosine ratio of angle Θ.

Answers

Answer:

8/17

Step-by-step explanation:

Cosine is adjacent over hypotenuse (CAH as in SOH CAH TOA) so the ratio would be 8/17

8/17
I think the person above is right

A two-factor between-subjects design is evaluated. The F-value for Factor A has df = 1, 40 and the F-value for Factor B has df = 3, 40. Based on this information, what are the df values for the A x B interaction?

Answers

Answer:

The df values for the A x B interaction are also 3,40

Step-by-step explanation:

The F-value for Factor A has df = 1, 40

The F-value for Factor B has df = 3, 40.

The df values for the A x B interaction are also 3,40

This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and  the source of variation between  rows has (r-1); rc(n-1) degrees of freedom and the  source of variation of interaction

(between rows and columns)  has ( c-1) ( r-1); rc(n-1) degrees of freedom.

Therefore

Factor A:  ( c- 1); rc(n-1)    = 1,40

Factor B:    (r-1); rc(n-1)     = 3,40

Interaction : ( c-1) ( r-1); rc(n-1)   =  3*1,(40)= 3,40

where c refers to columns , r refers to rows and n refers to the total sample size.

Which of the following statements is false

Answers

Answer: C IS THE ANSWER

Step-by-step explanation:

Sum of 2 fifths of x and 6x and 6 in algebraic expression​

Answers

Sum of 2 fifths of x and 6x and 6 in algebraic expression = 2/5 x +6x +6

Answer:

(14x+12)/5

Step-by-step explanation:

2 fifth of x = 2/5 * x= 2x/5

2 fifth of 6x = 2/5 * 6x = 12x/5

2 fifth of 6 = 2/5 * 6 = 12/5

2x/5 + 12x/5 + 12/5

= (2x+12x+12)/5

= (14x+12)/5

express 450 g as a percentage of 20 kg

Answers

Answer:

Step-by-step explanation:

convert either gram into kg or kg into gram

lets convert kg into g

1 kg=1000g

20kg=1000*24g

=20000g

450/20000*100%

450/200%

2.25%

first convert 450 g to kg = 0.45 kg

Now 0.45 kg as a. percentage of 20 kg = 0.45/20×100= 2.25%

Find the 6th term of the geometric sequence represented below. 3. 1, 0.5, 0.25, ...

Answers

Answer: Hi I  Can not seem to calculate the answer but I can give you a way to find 6th term or the geomatric sequence.

By substituting the values for a, r and n we can find the desired term that we want. r=7525, cancelling out the common factors, we get r=3. As we want the 6th term to find, substituting n=6,r=3&a=25 in the above equation, we get (25)(3)6−1. Simplifying this expression, we get 6075.

Step-by-step explanation:

If I can find the calculations correctly i will redo this answer! Have a nice day!

Tulsa has 4 times as many mangoes as Julie. Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie . How many many mangoes Tulsa had at first

Answers

Answer:

24

Step-by-step explanation:

Let the number of mangoes owned by Tulsa be T and that by Julie be J

If Tulsa has 4 times as many mangoes as Julie then

T = 4J

Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie

T + 6 = 5J

Solve both equations simultaneously by substitution

4J + 6 = 5J

Collect like terms

6 = 5J- 4J

J = 6

Since

T = 4J

T = 4 * 6

= 24

Hence Tulsa had 24 mangoes at first

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