What are the solutions of this equation? 2x^2 + 16x − 8 = 0

Answers

Answer 1

Answer:

[tex]x=-4\pm2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]2x^2+16x-8=0\\\\x^2+8x-4=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-8\pm\sqrt{(8)^2-4(1)(-4)}}{2(1)}\\ \\x=\frac{-8\pm\sqrt{64+16}}{2}\\\\x=\frac{-8\pm\sqrt{80}}{2}\\ \\x=\frac{-8\pm4\sqrt{5}}{2}\\ \\x=-4\pm2\sqrt{5}[/tex]


Related Questions

A function is a type of rule in which each input results in exactly one output.
Explain why both rules above are functions

Answers

Answer:

geotheral

Step-by-step explanation:

Fill in the missing number. % of 96 = 24 Submit​

Answers

Answer:

[tex]25[/tex]% of 96 = 24

Step-by-step explanation:

?% of 96 = 24

[tex]\frac{x}{100} =\frac{24}{96}[/tex]

[tex]x =\frac{24*100}{96}[/tex]

[tex]x = 25[/tex]%

PLEASE ANSWER ASAP

Which THREE expressions are equivalent to: (x + 6) + (x + 6) + (x + 6) + (x + 6) O 4(x + 6) 0 2 (x + 12) 2 + 12 + 22 12 3a + 6 + 1 = 6 тиб 42 = 24

Answers

Organizing the problem:

Which THREE expressions are equivalent to:

(x + 6) + (x + 6) + (x + 6) + (x + 6)

O 4(x + 6)

0 2 (x + 12)

2 + 12 + 22

12 3a + 6 + 1 = 6

тиб 42 = 24

Out of these selections, i can only tell that number one is correct, number two isn't, and i can't tell for the rest. Please organize the question more clearly.

--Hunter

Some of the steps in Raya's solutions are shown.

Answers

Answer:

2. Distributive Property

4. Division Property of Equality

Step-by-step explanation:

2. The reason is Distributive Property since Raya distributed 2.5 to each term in the parentheses:

2.5(6.25x)+2.5(0.5)=11 --> 15.625x+1.25=11

4. The reason is Division Property of Equality since Raya divided both sides by 15.625.

A more in depth version of 3-4:

15.625x+1.25-1.25=11-1.25

               15.625x=9.75

Divide both sides by 15.625 (division property of equality since she is dividing the same number from both sides of the equation)

                           x=0.624

What is the equation of the line parallel to
y = 3x - 8 that passes through the point (4, 2)?

Answers

Answer:

y=3x-10

Step-by-step explanation:

A line parallel to another line has the same slope.

Therefore, we can create the equation y=3x+b.

Substituting (4,2) into y=3x+b,

2=3(4)+b

2=12+b

-10=b

y=3x-10

Therefore, the equation of the line parallel to y=3x-8 which passes through the point (4,2) is y=3x-10

Answer:

y = 3x - 10

Step-by-step explanation:

Equation: y = 3x + b

Point: (4, 2)

y = 3x + b

2 = 3 (4) + b

2 = 12 + b

b = -10

y = 3x - 10

Factor 10w^2-31w+15
I'm really stumped lol

Answers

Answer:

[tex]10 {w}^{2} - 31w + 15 \\ \\ 10 {w}^{2} - 6w - 25w + 15 \\ \\ 2w(5w - 3) - 5(5w - 3) \\ \\ (2w - 5)(5w - 3)[/tex]

# be careful #

Height:?
6 cm
1. The diameter of the cylinder is 6cm
as shown above. What is the height of
the cylinder if the volume is 282.6 cu.
cm. Show your work.

Answers

Answer:

h = 22.5

Step-by-step explanation:

Volume Cylinder = πr²h

Radius = diameter/2

radius = 3

Solve:

282.6 = π(2)^2(h)282.6 = 3.14 * 4 * h90 = 4h22.5 = h

-Chetan K

You read a book for 35 minutes. Then you played 4 computer games. Each game took 8 minutes to play

Answers

Answer:

Total time: 67 minutes

Step-by-step explanation:

35m + 4(8m) = 67m

Answer:

READING TIME :- 35 MINUTES

GAME TIME. :- 32 MINUTES

HOPE IT HELPS U!!!!

5m+3(m-3)+7=2m-1
Solve for x

Answers

Answer:

=> 5m+3(m-3)+7=2m-1

=> 5m+3m-9+7 = 2m-1

=> 8m-2 = 2m-1

=> 8m-2m = -1+2

=> 6m = 1

=> m = 1/6

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS

Answers

Answer:

I believe your answer is 9

Step-by-step explanation:

The way I found this answer was by assuming that triangle CDE was expanded to get triangle FGH. So I divided 18/4 and got the answer 4.5, which means that the triangle was expanded by a factor of 4.5. So I then multiplied the similar side to HG by 4.5 which was side ED. This got me with 4.5 x 2 and I got the answer 9.

Hope this helps! :)


i need answers quick thanks

Answers

B :) open circle means inequality and it needs to be at least 3 so the line has to increase, meaning the arrow is going right.

Which numbers are less than 538? Select three options.


three hundred twenty-two
four hundred seventy-nine
five hundred thirty
five hundred forty
five hundred sixty-four
six hundred fifty-three

Answers

so the first one is:
322
second one:
479
third one:
530

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!

Answers

72. im pretty sure lol, since 180-108 is 72, and they’re complementary angles, i think, not completely sure

Given, m<7 = 108°

To find, m<3

Since both the given angles are on the same side of transversal, thus there sum is 180°

Thus, m<7 + m<3 = 180°

108° + m<3 = 180°

m<3 = 180° - 108°

m<3 = 72°

Hope this helps :)

Please answer this (who ever answers correctly gets brainlest)

Answers

Answer:

0.171 m

Step-by-step explanation:

First, let's determine how many mm of track he has in total...

74mm+97mm=171 mm

Now, we can set up a unit converter to convert mm to m (note that 1 mm is [tex]10^{-3{[/tex] m)...

[tex]171mm(\frac{10^{-3}m}{1mm})[/tex]

The "mm" cancels out...

[tex]171*10^{-3}m=0.171m[/tex]

Answer:

Step-by-step explanation:

74 +  97 = 171 mm

Length of the train track = 171 mm = 171÷ 1000 = 0.171 m

i need help pls im only a small 8th grader i need help. its due at midnight and its 11.35 rn please have mercy <33

Answers

[1] y = 2x

- the line goes through the origin (0, 0) so there will be no b value

- the line, starting from (0, 0) goes up two and to the right 1 into the next point giving us a slope of 2/1 which simplifies to 2

[2] (0, 5)

- we can figure this out without graphing or plugging in values because (0, y) will be the y-intercept, or the b value

- in this case the value is 5

[3] y = 3x + 12

- it uses a different term than I am used too, but by "graident" I think they mean the slope

- if it has the same slope, then it will be a slope of 3

- if it passes through (0, 12) then again, this is the y-intercept or our b-value

Have a nice day!

-> See attached for more information on b values

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS ILL GIVE BRAINLKEST

Answers

Answer:

D. 14

Step-by-step explanation:

These triangles are something called a scale factor. A scale factor means when you multiply any side by that factor, you get the side of the other triangle. It is an exact copy of the triangle from before, just bigger or smaller, also known as set to scale. Here we can do 7/6 to find the scale factor (which is 1.16666666667), and multiply that factor by 12 to get 14.

Describing a System of Equations
Describe a system of linear equations that has no solution.

Answers

Answer:

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Answer:

Sample Response/Explanation: A system consisting of lines that do not intersect will have no solution. Lines will not intersect if they have the same slope, but different y-intercepts. Parallel lines have the same slope, which means they will never intersect.

Step-by-step explanation:

I NEED HELP ASAP PLEASE
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

A. Yes, because 9*2 + 12*2 = 15*2
B. No, because 9*2 + 12*2 ≠ 15*2
C. No, because 9+ 12 ≠ 15.
D. Yes, because 9*2 + 12*2 > 15*2

Answers

A is the right answer for this question

ok so i have three questions 1. 4 – 3/7 = _______
2. 3/4 + 5/8 = _______
and 3. 1 – 4/5 = _______

Answers

Change the Numbers to desired shape

4-3/7=
4*7/7-3/7=
28/7-3/7=25/7

Answer will be 3 4/7 or 25/7

Double the first one
3/4+5/8=
6/8+5/8=11/8

Answer will be 1 3/8 or 11/8

Same as the first

1-4/5=
1*5/5-4/5=
5/5-4/5=1/5

If the lateral surface area of a cylinder with height 4cm is 24pi cm squared then what is its volume?​

Answers

We are given –

Height of cylinder is = 4cmLateral surface area of cylinder is = 24πcm²

We are asked to find volume of the given cylinder.

Let the radius be "r".Then according to the question,it’s given –

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf Curved\: surface\: area _{(Cylinder)}= 2\pi r h }[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 2\pi r h = 24 \pi[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 2\cancel{\pi} rh = 24 \cancel{\pi}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r =\dfrac{24}{2h}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \dfrac{24}{2\times 4}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \dfrac{24}{8}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \cancel{\dfrac{24}{8}}[/tex]

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf r = 3 \: cm}[/tex]

Now, Let's find volume of cylinder

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf V_{(Cylinder)} = \pi {r}^{2}h}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 3^2\times 4 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 9 \times 4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 36[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf V_{(Cylinder)} = 36 \pi \: cm^3}[/tex]

Henceforth, volume of cylinder is 36π cm³.

Step-by-step explanation:

Given :-

Height is = 4cmLateral surface area of cylinder is = 24πcm²

to find :-

volume of the given cylinder.

Solution :-

Lateral surface area of cylinder = 2πrh

24π cm = 2πrh

Cancelling π on both the sides ,

24/2h = r

putting the value of h i.e, 4 cm

24/2×4 cm = r

3 cm = radius

Now volume of Cylinder = πr²h

putting all the values ,

Volume = 3.14 × 3² × 4 cm³

Volume = 113.04 cm³

Solve for x. 4x + 3 = 35 Enter your answer in the box.

Answers

Answer:

x = 8

Step-by-step explanation:

4x + 3 = 35

subtract 3 from each side

4x = 32

divide 4 from each side

x = 8

Discuss the income effect for normal and inferior goods​

Answers

Answer:

➢ The income effect describes the relationship between an increase in real income and demand for a good. The result of the income effect for a normal good is discernible to that of an inferior good in that a positive income change causes a consumer to buy more of a normal good, but less of an inferior good.

[tex]Into \: your Arms[/tex]

#CarryOnLearning

A trapeziod is always an example of

Answers

Answer:

quadrilateral

Step-by-step explanation:

( i ready ) i want to double check my answer

Answers

Answer:

Step-by-step explanation:

yeah you got it

The ratio of men to women working for a company is 7:5. If there are 192 employees total, how many women work for the company?

Answers

7:5 mean that to every 7 men there is 5 woman.

There are 54 women working for the company.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The ratio of men to women working for the company is 7:5, which means that for every 7 men, there are 5 women.

We can express this as a fraction by writing 7/7 as 1 and 5/7 as 5/7, so the ratio becomes 1:5/7.

This fraction can be rewritten as 7/7:35/7, and since the two fractions have the same denominator, we can say that the ratio is equal to 7:35.

Since there are 192 total employees, and the ratio of men to women is 7:35, we can set up the following proportion:

7/35 = x/192

We can solve this proportion by cross-multiplying:

7/35 × 192 = x

This simplifies to:

x = 54

Therefore, the company hired 54 female employees.

To learn more about the Ratio click here:

brainly.com/question/1504221

#SPJ2

What is the value of cos B as a simplified fraction. (Enter answer as x/y to enter the fraction).

Answers

Answer:

Cos of B = 36 / 38.884

Step-by-step explanation:

To find the cos of b you need the hypotenuse

(a)^2 + (b)^2 = (c)2

(36)^2 + (15)^2 = 1521

1521 squared is 38.884

Hypotenuse side goes on bottom and adjacent side on top

Cos of B = 36 / 38.884

What are 3 possible solutions for the inequality?​

Answers

Number one gravity number 27 and one shampoo number three the laws of physics

3x - 2y =6

if x is equal to -1; 0; 1​

Answers

Step-by-step explanation:

if X=-1

3(-1) - 2y =6

-3 - 2y =6

-2y=6+3

-2y =9

y=

[tex] \frac{9}{ - 2} [/tex]

y=

[tex] - 4 \frac{1}{2} [/tex]

If X=0

3(0)-2y=6

0-2y=6

-2y=6+0

-2y=6

y=

[tex] \frac{6}{ - 2} = - 3[/tex]

y= -3

if X=1

3(1)-2y=6

3-2y=6

-2y=6-3

-2y=3

y

[tex] \frac{3}{ - 2} = - 1 \frac{1}{ 2} [/tex]

what is the cubed root of 27?​

Answers

Answer:

Cube root of 27 in radical form: ∛27???

Step-by-step explanation:

hope this helps

how to do subtracting unlike fractions easily? ​

Answers

Find the least common multiple of the denominators of the fractions. Write equivalent fractions that have the least common multiple as the denominator.

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