What are the solutions to the quadratic equation 2x2 - 8x - 24 = 0?​

Answers

Answer 1

Answer:

Step-by-step explanation:

2x² - 8x - 24 = 0

2x² - 12x + 4x - 4*6 = 0

2x(x-6) + 4(x - 6) = 0

(x - 6)(2x + 4) = 0


Related Questions

Lauren is sewing a quilt using fabric squares.

The length of a side of a fabric square is represented by the expression x + 4.
Which expression represents the area of a fabric square?

4x + 6
2x + 8
x + 4
x2 + 8x + 16

Answers

Answer:

x^2 + 8x + 16

Step-by-step explanation:

Given length of square x + 4.

Area of square with side S is given by [tex]S^2[/tex].

Therefore are of square with side x + 4 is given by [tex](x + 4)^2[/tex]

Area of square = [tex](x + 4)^2\\=>(x + 4)*(x + 4)\\=> x(x + 4) + 4(x + 4)\\=> x^2 + 4x + 4x + 4*4\\=> x^2 + 8x + 16[/tex]

Thus, x2 + 8x + 16 expression represents the area of a fabric square.

Martin dennis brought a wide screen television for $1720. He made a down payment of 15% and paid the balance over 18 months. The fiance charge was 4% of the amount financed. Find the down payment and the installment price of the televison and the monthly payment

Answers

Answer:

Down payment is $258

Installment price is $1766.22

monthly payment is $83.79

Step-by-step explanation:

Down payment is 15% of $1,720 which is $258  (15%*$1720)

Monthly payment can be computed using pmt formula in excel

=pmt(rate,nper,-pv,fv)

rate is the interest rate per month which 4%/12=0.33%

nper is the number of months of payments that is 18

pv is the finance amount which is the price minus down payment i.e $1462 *($1720-$258)

fv is the total finance amount plus interest which is unknown i.e 0

=pmt(0.33%,18,-1462,0)=$ 83.79  

installment price =down payment +total repayment

                             =$258+($83.79*18)=$1766.22

Jeremiah is creating a playlist that has only one song from each of his favorite genres. The following table shows his favorite genres and the number of songs on his MP3 player for each genre.

Answers

Answer:

Step-by-step explanation:

well i just dont know whats going on but just times the number of songs times the Genre.

Answer:

448

Step-by-step explanation:

just because

two angles have a sum of 180° if the measure of the first angle is 35.7° find the measure of the second angle

Answers

Answer:

x =144.3

Step-by-step explanation:

Let x  be the unknown angle

The two angles add to 180

x+35.7 = 180

Subtract 25.7 from each side

x+35.7 -35.7 = 180-35.7

x =144.3

!! PLEASE ANSWER QUICKLY TIMED REVIEW WILL LIST BRANLIEST!!! ​

Answers

Answer:

First box is 4 2nd box is 6

Step-by-step explanation:

The next box that is empty will be 4 and the last empty box will be 6

Step-by-step explanation:

2*1=2

2*2= 8

2*3=6

plzzzz do the right awnsers i failed the other on e plzz no du meys plzz i beg

Answers

Answer:

D. Vertex: (3, -1); zeros: (2,0), (4,0), y-intercept: (0,8)

Step-by-step explanation:

I used the desmos graphing calculator. Just plug in your equation and it should be pretty easy to find these points

Answer:

Vertex is (3,-1)  zeros ( 4,0) (2,0) and y intercept (0,8)

Step-by-step explanation:

y = x^2 - 6x+8

Factor

y = (x-4) (x-2)

Set = 0 to find the zeros

0 = (x-4) (x-2)

Using the zero product property

x-4 = 0    x-2 =0

x=4   x=2

The vertex is 1/2 way between the zeros

(4+2)/2 = 6/2 = 3

y = (3-4) (3-2)

  -1 (1)

y = -1

Vertex is (3,-1)

The y intercept is at x=0

y = 0-0+8

y =8

Can u guys pls help this is due in 2 mins!

Answers

-3x + 3y = -18

-x + y = -6

-2x + 2y = -12

5x - 2y = 9

Adding,

3x = -3

x = -1

y = -6 +x = -6 - 1 = -7

Answer: B. (-1, -7)

Answer:

B

Step-by-step explanation:

Find the lateral area and surface area of a regular hexagonal right prism is the base edges are 10 and the height is 12.


Round your answer to the nearest tenth.



LA = units squared


SA = units squared

Answers

Answer:

Step-by-step explanation:

a hexagonal prism is made up of two bases that are hexagons and six faces that are rectangles.

Lateral surface area, LA = Perimeter × height

Perimeter = number of sides × length of each side

Perimeter, P = 6 × 10 = 60

LA = 60 × 12 = 720 units squared

Area of each base, B = 1/2a × perimeter

Where

a = apotherm

We would determine the length of the apotherm of each base of the prism by applying the formula,

a = s/[2tan(180/n)]

Where

s = length of each side = 10

n = 6 sides

a = 10/[2tan(180/6) = 10/[2tan30)

a = 8.66

B = 1/2 × 8.66 × 60 = 259.8

Total surface area = LA + 2B

Total surface area = 720 + 2 × 259.8 = 1239.6 units squared

At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Answers

Know a are:

CW=75. SL= 250. Y= 2x

CW= X= number of wings

SL= Y= number of sliders

X+Y= Total number of items, which can be rewritten as X+2X= total

Plug in the calories for the total

2(75X) +250X= 800

150x+250X= 400X= 800

X= 800/400=2 pieces of Slider

Double the amount for Wings=2x2=4

4wings/2 Sliders

The equations that  could be used to determine the number of chicken wings and sliders in the combination meal is:

75w + 250s = 800

w = 2s

Where:

w = chicken wings

s = sliders

The two equations derived from the question are known as simultaneous equations. Both equations have to be solved together in order to determine the number of wings and sliders.

The total calories of wings = number of wings x calories of each wing

75 x w = 75w

The total calories of sliders = number of sliders x calories of each sliders

250 x s = 250s

To learn more about simultaneous equations, please check: brainly.com/question/23589883

Question 4 11 point)
Four hundred grocery store shoppers were surveyed to determine their favorite fruit. How many shoppers prefer bananas?
Favorite Fruit
Bananas Apples
32%
35%
Cherries
33%
Os 32

Answers

Answer:

128

Step-by-step explanation:

128 is the right

peanut butter

Mica and Denise are reading the same novel. Mica has read 1/2 of the novel, and Denise has read 2/5 of the novel. If Mica has read 216 pages more than Denise, how many pages are totally for this novel?

Answers

Answer:

The novel has 2160 pages.

Step-by-step explanation:

The number of pages of the novel is x.

Mica has read 1/2 of the novel, so x/2 = 0.5x.

Denise has read 2/5 of the novel, so 2x/5 = 0.4x.

Mica has read 216 pages more than Denise

This means that:

0.5x - 0.4x = 216

0.1x = 216

x = 216/0.1

x = 2160

The novel has 2160 pages.

Select all of the following expressions that require use of the distributive property to simplify.
√5(-√2)
√5(√7-√2)
(√5+√2)(-√7)
(3√5)(-7√2)

Answers

Answer:

√5(√7-√2)

(√5+√2)(-√7)

Step-by-step explanation:

The Distributive Property:

a ( b + c ) = ab + ac

Where a, b and c are any real numbers.

The given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Distributive property

Given the integers A, B, and C. According to the distributive property;

A(B + C) = AB + AC

From the expression, you can see that A is distributed over B and C

So for distributive property, there must be a factor and the sum of terms in parenthesis. Based on the given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Learn more on distributive property here: https://brainly.com/question/4077386

The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. Her data are shown in the scatter plot below. If these data are modeled by the line y = -5.9x + 850, which statement best describes a valid prediction the owner could make?

Answers

Picture of the question is attached below.

Answer: B.) For each temperature decrease of 10°F, the shop can expect to sell about 6 fluid ounces more of hot coffee.

Step-by-step explanation:

The model depicted by the line equation:

y = -5.9x + 850 shows a strong negative linear relationship between the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. This means that the sale of hit coffee decreases with increasing temperature daily, which makes sense. From the plot and line model equation, the shop can expect to sell about 6 fluid ounces less of hot coffee for each temperature ruse of 10F.

-5.9x approximately -6x decrease for every 10F temperature increase.

i need these two questions

Answers

4) the unit rate is 1 to 15

6) it would be 6$ for 4 pounds of fudge. If you divide 4.50/3 = 1.50 . that means that each pound costs 1.50. 1.50x 4 = 6.
therefore the answer is 6

Gavyn, David & Alex share some money in the ratio 5 : 3 : 4.
In total, Gavyn and Alex receive £99.
How much does David get?

Answers

Answer:396

Step-by-step explanation:

Find the mean median and mode 12,13,14,9,7,8,15,10

Answers

Mean = (12 + 13 + 14 + 9 + 7 + 8 + 15 + 10) / 8 = 88/8 = 11

Median = 7, 8, 9, 10, 12, 13, 14, 15 = 11 (between 10 and 12)

Mode = None because there are no numbers that occur more than once

Answer:

See below.

Step-by-step explanation:

The first thing to do is to put all the numbers in order.

[tex]7, 8, 9,10,12,13,14,15[/tex]

First, let's find the mode.

The mode is where there is a repeating number in a set. If you look, there is no repeating number. Which means, there is no mode for this set.

Next, we find the median.

[tex](10 + 12) / 2 = 11[/tex]

The median would be [tex]11[/tex].

Then, we find the mean.

For the mean, you add up all the numbers and you will divide it by how many numbers there are.

[tex]7,8,9,10,12,13,14,15 = 88[/tex]

[tex]88 / 8 = 11.[/tex]

The mean is [tex]11[/tex].

find the area of the triangle

Answers

Answer:

88.28

Step-by-step explanation:

applying formula of area of triangle, 1/2 X base X height.

given.= base= 16.9 height=10.4

so keeping value in formula.

1/2 X 16.9 X 10.4

on solving it will be 88.28

Answer:

The Correct Answer Is 87.88

Step-by-step explanation:

10.4*16.9=175.76

175.76/2=87.88

Do not round ft² = 87.88

Hope this helps everyone using Acellus program!

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Adrian's songs were played.

Answers

Answer:

Step-by-step explanation:

Let number of songs are played in a commercial be a

     number of songs are played in a movie be b

Adrian earned a total of $1010 -> a*40 + b*130 = 1010  (1)

14 commercials and movies -> a+b = 14                          (2)

(1) - (2)*40 =  a*40 + b*130 - a*40 -b*40 = 1010 -14*40

-> b*90 = 450

-> b = 5

-> a = 14-5 = 9

The system of equation should be used is 40a + 130b = 1010

And, a + b = 14

And, the number of commercials and the number of movies on which Adrian's songs were played is 9 and 5

The following information should be considered:

Let us assume the number of songs are played in a commercial be a and   number of songs are played in a movie be b

So, the equations are

40a + 130b = 1010

a + b = 14

b = 14 - a

Now

40a + 130(14 - a) = 1010

40a + 1,820 - 130a = 1010

-90a = -810

a = 9

And, y = 14 -9

= 5

learn more: https://brainly.com/question/10309631?referrer=searchResults

Find the surface area.

Any help will be appreciated thank you!

Answers

Answer:

580 cm^2

Step-by-step explanation:

H = Height

L = length

W = width

2(HL)+2(WH)+2(WL)

= 2(20*10)+2(3*20)+2(3*10)

= 2(200)+2(60)+2(30)

= 400+120+60

= 580

majorie bought a bed with a sticker price of 1800. if she paid $25 a week for two years, what was the approximate markup on the bed

Answers

Answer:

44.4% according to A P E X

Step-by-step explanation:

A P E X

Which are solutions of x2+5=2

Answers

Answer:

x= -1.5

Step-by-step explanation:

assuming x2 is x multiplyed by 2 then...

x*2+5=2

2x=-3

x=-3/2

x= -1.5

I want brainliest or else!!!

Answer:

[tex]\pm \sqrt{7}[/tex]

Step-by-step explanation:

[tex]x^2+5=2[/tex]

Subtract 2 from both sides:

[tex]x^2+7=0[/tex]

[tex]x=\pm \sqrt{7}[/tex]

Hope this helps!

Billy graphed the system of linear equations to find an approximate solution.
y=-7/4x + 5/2
y=3/4x-3

Answers

Answer:

(2.2, -1.35)

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

The solution set to the systems of equations is where the 2 lines intersect.

Use the order of operations to simplify 1 + 2(3 + 4.5) – 6.6.
Simplify the numbers inside the parentheses to get 1 + 2 (

) – 6.6.
Multiply from left to right to get 1 +
– 6.6
Multiply from left to right to then get 1 + 15 –
Add and subtract from left to right to get

Answers

Answer:

9.4 is your answer, i need to write more and i dont know why

Terry is buying juice. He needs 3 liters. A half-liter of juice costs $2.39. A 250 -milliliter container of juice cost $ 1.69. What should Terry buy so he gets 3 liters at the lowest price? Explain

Answers

terry should buy the half liters because 6 will be $14.34 and if he got the millimeters then it would cost him $20.28

Answer:

Terry should buy half a liter because if he buys 250 millimeters, he will need to pay $20.28, which is more than 14.34.

Is (5, 10), (-8, 3), (-1, 7), (-5, 10) A Function ?

Answers

Answer:

Step-by-step explanation:

Notice that the inputs {5, -8, -1, -5} are all different.  So we can immediately conclude that this is a function.

If the inputs were {5, -8, -1, 5}, this would not be a function, as the same input value (5) would result in two different outputs.

what is the degree of the monomial? 5n3

Answers

Answer:

the 3rd degree

Step-by-step explanation:

its to the 3rd power

i think

Meagan knits 1/10 of q scarf in 3/4 of annhour.What fraction of a scaf can megan knit in 1 hour

Answers

Answer:

2/15

Step-by-step explanation:

To solve this problem we just need to use a rule of three, relating the fraction of the scarf knitted and the amount of time.

So we have that:

1/10 of the scarf -> 3/4 hour

x of the scarf -> 1 hour

x * (3/4) = 1/10

x = (1/10) / (3/4)

x = (1/10) * (4/3)

x = 4/30 = 2/15

In one hour, Meagan knit 2/15 of the scarf.

The share price of Twitter Inc in September 2016 was $19.30. The next day price changed by -1.22%. Write an equation to describe the change in share price and find the value after the change.

Answers

19.3$ -(1.22%*19.3) =19.06

A company has been forced to reduce its number of employees. Today the company has 29% fewer employees than it did a year ago. If there are currently 142 employees, how many employees did the company have a year ago?

Answers

250 is not the answer

Step-by-step explanation:

Idk

The zero(s) of the function : f(x)=x² - 2x +3 are_____________ *

Answers

Answer:

x = 1 ± i√2

Step-by-step explanation:

hope i helped

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