Use the Quadratic Formula to solve 2x^2=5x=6. Leave your answer in radical form. Show all work!

Answers

Answer 1

Answer:

[tex]x=\frac{-5+-i\sqrt{23} }{4}[/tex]

Step-by-step explanation

The quadratic formula is [tex]x=-\frac{-b+-\sqrt{bx^{2 -4ac} } }{2a}[/tex]

Answer 2

Answer:

-5  ± sqrt(73))  

 ----------------------------

       4

Step-by-step explanation:

2x^2 +5x =6

Subtract 6 from each side

2x^2 +5x -6 =0

This is in the form

ax^2 +bx+c  where a=2  b=5 and c=-6

The quadratic is -b ± sqrt(b^2 -4ac)  

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

                                         2a

-5  ± sqrt(5^2 -4(2)(-6))  

 ----------------------------

       2(2)

-5  ±sqrt(25 +48))  

 ----------------------------

       4

-5  ± sqrt(73))  

 ----------------------------

       4


Related Questions

Write nine minus the quotient of two and a number x as a expression variable

Answers

Answer:

9-(2/x)

Step-by-step explanation:

Describe two methods that can be used to find the area of the composite figure.

Answers

Answer: A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

Area of the composite figure can be find by using additive areas method and subtractive areas method

What is Composite figure?

Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle

What is Area ?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of the composite figure can be find by using two methods,

Additive areas method and Subtractive areas method

In Addictive areas method

Break the composite shape into basic shapesFind the area of the each basic shapesAdd all the areas of basic shapes together

In Subtractive areas method

Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.Find the area of the each basic shapesArea of the composite shape will be the difference between the area of the larger shape.

Hence, the area of  the composite figure can be find by using additive areas method and subtractive areas method

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Please help me now plz I will mark you brainliest

Answers

Answer:

Neither

Step-by-step explanation:

It can be paralel because they both pass through -7 and it cant be perpendicular because the dont intersect at a 90 degree angle

What is the equation of a line with a slope of 6 and y intercept of -2

Answers

Answer:

6x-y=2 is the equation

Step-by-step explanation:

The formula is y= mx+c where m= slope and c = y-intercept

so replacing their values,

y = 6x -2

y+2= 6x

6x-y = 2 is the required equation.

Answer:

y=6x-2

Step-by-step explanation:

Answer: to write an equation it has to be y=mx+b

The slope is 6, so you substitute the 6 in for the m. M is always the slope.

You also keep the x there.

The y intercept, also know as b, is -2 so you substitute that in for b.

Then you get the equation on the line.

y=6x-2!

Hope this helps. :)

factor the polynomial 8x-2

Answers

Answer:

[tex]2(4x-1)[/tex]

Step-by-step explanation:

you divide by 2 and simplify. idk how else to explain it....

Answer:

2(4x-1)

Step-by-step explanation:

Factor out a 2

Given the function f(x)=7x-4 find f(3)

Answers

Answer:

17

Step-by-step explanation:

f(x)=7(3)-4     Distributive Property

f(x)=21-4        Subtract

f(x)=17

The value of f(3) is 17

what is function?

Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Given:

f(x)=7x-4

Now for x=3

f(3)= 7*3-4

=21-4

=17

Hence, the value of function is 17.

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A pink crayon is made with 12\text{ mL}12 mL12, start text, space, m, L, end text of red wax for every 5\text{ mL}5 mL5, start text, space, m, L, end text of white wax

Answers

Answer:

Your answer would be:

#1: 36 mL of red wax mixed with 15 mL of white wax.

#2: 60 mL of red wax mixed with 25 mL of white wax.

HOPE THIS HELP

Answer:c and b

Step-by-step explanation:

8+16÷4·3+5·4·25·2 =

solve the equation

Answers

Answer:

1020

Step-by-step explanation:

8+16÷4·3+5·4·25·2

PEMDAS

Multiply and divide from left to right

8+4·3+5·4·25·2

8+12+5·4·25·2

8+12+1000

Then add

1020

What is the equation

Answers

Answer:

76

Step-by-step explanation:

-4x + 104 = -200

-4x = -304

4x = 304

x=76

Vijay's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?

Answers

Answer:3080”

Step-by-step explanation:

If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?

Answers

Answer:

Step-by-step explanation:

First, calculate the volume of the first cylinder

V= pi * r^2 * h

= pi * r^2 * 9 = 9 pi r^2

Volume of the second cylinder

V = pi * (2r)^2 * 9 = 36 pi r^2

the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4

The number of cylinders that can be filled is given by the equation A = 4

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the first cylinder be V₁

The radius of cylinder 1 = r

The height of the cylinder 1 = 9 inches

Let the volume of the second cylinder be V₂

The radius of cylinder 1 = 2r

The height of the cylinder 1 = 9 inches

Now , the volume of cylinder 1 is V₁ = πr²h

Substituting the values in the equation , we get

V₁ = 9πr²

Now , the volume of cylinder 2 is V₂ = πr²h

Substituting the values in the equation , we get

V₂ = 9π ( 2r )²

V₂ = 36πr²

And , the number of cylinders that can be filled is A = V₂ / V₁

On simplifying the equation , we get

The number of cylinders that can be filled is A = 36πr²/9πr²

The number of cylinders that can be filled is A = 4 cylinders

Hence , the number of cylinders is 4

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1. Si tengo el siguiente ejercicio x = 8+9*4+(32*2+5*4)+3*6 aplicando la jerarquía de operaciones, el resultado sería? a. 25 b. 45 c. 78 d. Ninguna de las anteriores

Answers

Answer:

Option D is correct.

The answer is none of the above.

x = 146

La opción D es correcta.

La respuesta es ninguna de las anteriores.

x = 146

Step-by-step explanation:

English Translation

If I have the following exercise x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6 applying the hierarchy of operations, the result would be?

a. 25

b. 45

c. 78

d. None of the above

Solution

The hierarchy of operations includes BODMAS.

B - Brackets

O - Order

D - Division

M - Multiplication

A - Addition

S - Subtraction

x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6

Solving the bracket first.

The multiplication in the bracket are first simplified to give

x = 8 + 9 * 4 + (64 + 20) + 3 * 6

Then further simplifying the bracket

x = 8 + 9 * 4 + (84) + 3 * 6

We then solve the multiplication outside the brackets

x = 8 + 36 + 84 + 18

We now sum all of this

x = 146

In Spanish/En Español

La jerarquía de operaciones incluye BODMAS.

B - Soportes

O - Orden

D - División

M - Multiplicación

A - Suma

S - Resta

x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6

Resolver el soporte primero.

La multiplicación en el paréntesis se simplifica primero para dar

x = 8 + 9 * 4 + (64 + 20) + 3 * 6

Luego simplificando aún más el soporte

x = 8 + 9 * 4 + (84) + 3 * 6

Luego resolvemos la multiplicación fuera de los corchetes

x = 8 + 36 + 84 + 18

Ahora sumamos todo esto

x = 146

Hope this Helps!!!

¡¡¡Espero que esto ayude!!!

PLEASE HELP ASAP 10 POINTS AND ITS MULTIPLE CHOICE

Which equation represents the line that is parallel to the following?
Y=-3x-4

A. Y=3x+4
B. Y=3x+1
C. Y=-1/3x-4/3
D. Y=1/3x-4

Answers

Answer:

A. Y=3x+4

Step-by-step explanation:

A bag contains 4 red, 2 blue, 6 green, and 8 white marbels. Round anwsers to the nearest tenth. What is the probibility of selecting a green marble, replacing it, and then selecting a red marble.

Answers

Answer:

[tex]\frac{3}{50}[/tex] chance.

Step-by-step explanation:

Probability of getting a green: [tex]\frac{6}{4+2+6+8}[/tex] = [tex]\frac{6}{20} = \frac{3}{10}[/tex]

Probability of getting red: [tex]\frac{4}{4+2+6+8} = \frac{4}{20} = \frac{1}{5}[/tex]

[tex]\frac{1}{5} * \frac{3}{10} = \frac{3}{50}[/tex]

There is a [tex]\frac{3}{50}[/tex] chance of getting a green then red marble with replacement.

Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers

Answers

Answer: 29

Step-by-step explanation:

3x2= 6

4x2=8

3x5=15

6+8+15= 29

hoped I helped you a bit! Good luck! :)

Simplify 8^2/3 -√9×10^0+(1/144)^-1/2

Answers

Answer:

13

Step-by-step explanation:

We have the following expression:

[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]

If we do part by part, we have remains:

[tex]8^{\frac{2}{3} }[/tex] = 4

8 = 2^3

Therefore, the exponents 3 * 2/3 = 2 are multiplied

2^2 = 4

[tex]\sqrt{9}*10^{0}[/tex] = 3

We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3

[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12

When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.

So, we have:

4 - 3 + 12 = 13

What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?

Answers

Answer:

= 1/2 inches ^3

Step-by-step explanation:

The volume of a prism

V = l*w*h

  = 2 * 1 *1/4

  = 1/2 inches ^3

Answer:

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

Step-by-step explanation:

[tex]v = whl \\ = 1 \times \frac{1}{4} \times 2 \\ = \frac{2}{4} \\ = \frac{1}{2} {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

plzzzzzzzzzzzzaaaaaaaa

Answers

Answer:

A

Step-by-step explanation:

[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]

The correct answer choice is A. Hope this helps!

Quadrilateral ABCD is inscribed in a circle
What is the measure of angle A?

Answers

Answer:

Quadrilateral ABCD is inscribed in a circle, then

A + C = 180

=> 2x + 9 + 3x + 1 = 180

=> 5x = 170

=> x = 34

=> A  = 2 x 34 + 9 = 77 deg

Hope this helps!

:)

Answer:

77°

Step-by-step explanation:

ABCD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.

[tex]\therefore \angle A + \angle C = 180° \\ (2x + 9) \degree + (3x + 1) \degree =180° \\ (5x + 10) \degree =180° \\ 5x + 10 = 180 \\ 5x = 180 - 10 \\ 5x = 170 \\ x = \frac{170}{5} \\ x = 34 \\ \angle A = (2 \times 34 + 9) \degree \\ \huge \red{ \boxed{\angle A= 77 \degree}} \\ [/tex]

helppppppppppppp please

Answers

Answer:

with?

Step-by-step explanation:

I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number

Answers

Answer: 30 computers.

Step-by-step explanation: Just divide the total amount of computer by the probability, which is 287. then you get 29.83, after that just round to the nearest whole number.

Answer:

8534

Step-by-step explanation:

8564/287=29.8 rounded is 30 so 8564-30=8534 if i am wrong sorry

I will mark brainliest if you are correct!
When solving the equation, which is the best first step to begin to simplify the equation?
-2 (x + 3) = -10

A. (-2) (-2) (x + 3) = -10 (-2)
B. -1/2 (-2) (x + 3) = -10 (-1/2)
C. -2/2 (x + 3) = -10/2
-2/-10 (x + 3) = -10/-10

Answers

Answer:

i think the answer is C

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

Uh here's what I did:

-2x-6= -10

Add 6 to both sides.

-2x=-4

Divide both sides by -2

x=2

Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)

Answers

Answer:

b is the answer

Step-by-step explanation:

i checked if inputs repeated in all the string of answers

Answer:

b

Step-by-step explanation:

What is the square root of 91

Answers

Answer:

9.53939201417

Step-by-step explanation:

sqrt(91)=

9.53939201417

Answer:

9.53939201

Step-by-step explanation:

This can simply be done in a calculator but what you are basically doing is thinking about the reverse of a exponent. For instance, √25 is 5 because 5² is 25. Hope this helps! If you are still confused please comment!

please help immediately very confused

Answers

Answer:

4.5

Step-by-step explanation:

162/360=0.45

0.45*10=4.5

Answer:

4.5units

Step-by-step explanation:

arc length's formula:2πr(∆/360)

remember, 2πr: circumference of a circle:

10units according to diagram.

∆=162°

using formula, 10(162°/360)

10*162/360 : 162/36

:4.5 units.

There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?

A) Permutation

B) Combination

C) Circular permutation

Answers

Each of them shakes hands with 109 others.
109*110 = 11990 handshakes were done.

A triangle has a side with length of 6 feet and another side with length of 8 feet. The angle between the sides measures 73°. Find the area of the triangle. Round your answers to the nearest tenth. Please show work.
a. 23.0 ft^2
b. 45.9 ft^2
c. 1752 ft^2
d. 7.0 ft^2

Answers

Answer:

Area = (1/2) * side 1 * side 2 * sine (73 degrees)

Area = (1/2) * 6 *  8 * .9563

Area = 22.9512  square feet

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Area = ½ a b sinC

= ½ × 6 × 8 × sin(73)

= 22.9513141431

To the nearest tenth: 23.0 ft²

Pleaaase help me out here im being timed!!

Really appreciate it if u did thank u.

Answers

The answer is 180. Or C.A triangle’s full angle is 180 so the answer is 180

Evaluate 9 − b 9−b9, minus, b when b = 8b=8b, equals, 8.

Answers

Answer:

the way you wrote the question is confusing. Please right it in better wording or with line breaks

Step-by-step explanation:

Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is $

Answers

I believe $80 dollars would be 4% of 2,000

The value of the annuity at the end of 5 years, rounded to the nearest dollar is $10,833.

What is the value of the annuity at the end of 5 years?

The formula that can be used to determine the future value of the annual annuity is:

Yearly deposity x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate n = number of years

2000 x {[(1.04^5) - 1] / 0.04} = $10,832.65

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In October 1962, the U.S. government learned that the Soviet Union was building nuclear-missile bases in Cuba, well within range of the United States. President John F. Kennedy responded by imposing a naval blockade to prevent more missiles from reaching the island nation. For several days, it was not clear how the Soviets would react if U.S. ships tried to stop a Soviet ship at sea. Eventually, the Soviets backed down and agreed to remove the missiles from Cuba.How did these events bring the world close to nuclear war? A. by creating a confrontation between the world's two superpowers B. by threatening to dissolve the NATO C. by creating conflict between the world's two largest economies D. by threatening to dissolve the Warsaw Pact which equation gives volume of the sphere how did japan change during the Heian empire/period A financier plans to invest up to $500,000 in two projects. 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