How many real solutions if any, does 2x^2-3x+8=0​

Answers

Answer 1

Answer:

The quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] has no real solution.

Step-by-step explanation:

Rewrite the quadratic equation [tex]2\, x^{2} - 3\, x + 8 = 0[/tex] in the standard form [tex]a\, x^{2} + b\, x + c = 0[/tex]:

[tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex], for which:

[tex]a = 2[/tex].[tex]b = (-3)[/tex].[tex]c = 8[/tex].

The quadratic discriminant of [tex]a\, x^{2} + b\, x + c = 0[/tex] is [tex](b^{2} - 4\, a\, c)[/tex].  The quadratic discriminant of [tex]2\, x^{2} + (-3)\, x + 8 = 0[/tex] would be:

[tex]\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}[/tex].

Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.


Related Questions

find the surface area of the trianlurprisum.

Answers

Answer: 56

Step-by-step explanation:

you multitouch answers I think


15 x 17 x 20 = 5,100


What is the best estimate for the length of a dollar bill?
150 centimeters
15 meters
15 centimeters
150 meters

Answers

Answer:

15cm

Step-by-step explanation:

150 meters are too long since 1 meter is about one big step.

15 meters would also be too long.

150 centimeters is the same as 1.5 meters, which is also too long.

Help me with this question please

Answers

Volume of a Cylinder = pi x r^2 x height

diameter = 10, so radius = 5

height = 6

Volume = pi x 5^2 x 6

Volume = pi x 25 x 6

Volume = 150pi

Answer: 150pi cubic feet

Hope this helps!


10 cans of mushrooms cost $27.80. The cost of each can is the same. What is the cost of
each can?

Answers

Answer:

This problem gives us the total amount of cans and it also gives us the total cost and asks us to find the cost of each can when every can costs the same amount.  To do this we need to $ to be on the top and the can on the bottom because we say price PER can.

[tex]\frac{total\ price}{total\ amount\ of\ cans}[/tex]

[tex]\frac{\$27.80}{10\ cans}[/tex]

[tex]\$2.78\ per\ can[/tex]

Therefore, our final answer is that each can costs $2.78

Hope this helps!  Let me know if you have any questions

Father brought a carton of fruits. Total fruits in it are 150. 15 percent of them are rotten. Find the number of fresh mangoes

Answers

Answer: 127

Step-by-step explanation:

150 fruits times 15% = 22.5 rotten fruits

150 total -22.5 rotten=127.5 fres fruits

You can't have half a fruit so I chose to round down to 127

PLEASE HELP WILL MARK BRAINLIEST
only number 8

Answers

Answer:
Area is = to 1017.88
Circumference is = to 113.1
Step-by-step explanation:
To find the area of a circle use the formula A=πr2
So . . .
A = π18²
A = π324
A = 1017.88
To find the circumfrence of a circle use formula C=2πr
So . . .
C = 2π18
C= 113.1
Hope this helps
Brainliest please!

Answer:

a=646.84   c=113.04

Step-by-step explanation:

4+4(5+2²)
Using order of operations

Answers

Hey there!

Do PEMDAS to solve.

PEMDAS simply means.

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtract

Some people use this method to make PEMDAS easier to understand

• Please
• Excuse
• My
• Dear
• Aunt
• Sally

4 + 4(5 + 2^2)

= 4 + 4(5 + 2 * 2)

= 4 + 4(5 + 4)

= 4 + 4(9)

= 4 + 36

= 40


Therefore, the answer should be: 40


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Please solve this puzzle

Answers

Answer:

a = 25 m²

b = 5 m

c = 7.94 m

d = 35.73 m²

Code:    H I A B

Step-by-step explanation:

Formulae

Pythagoras’ Theorem:    [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Area of a square = x²  (where x is the side length)

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

Assuming that all the quadrilaterals are squares.

Side length of blue square with area 16 m² = √16 = 4 m

Side length of yellow square with area 9 m² = √9 = 3 m

Use Pythagoras' Theorem to find the length of b:

[tex]\implies 4^2+3^2=b^2[/tex]

[tex]\implies b^2=25[/tex]

[tex]\implies b=\sqrt{25}[/tex]

[tex]\implies b=5\: \sf m[/tex]

Now we have found length b, we can find area a:

[tex]\textsf{Area a}=b^2=5^2=25\: \sf m^2[/tex]

Side length of purple square with area 144 m² = √144 = 12 m

Side length of green square with area 81 m² = √81 = 9 m

Use Pythagoras' Theorem to find the length of c:

[tex]\implies 9^2+c^2=12^2[/tex]

[tex]\implies c^2=63[/tex]

[tex]\implies c=\sqrt{63}[/tex]

[tex]\implies c=3\sqrt{7}[/tex]

[tex]\implies c=7.94\: \textsf{(nearest hundredth)}[/tex]

Now we have found length d, we can find area d:

[tex]\textsf{Area d}=\dfrac{1}{2}(9)(7.94)=35.73\: \sf m^2[/tex]

Code:    H I A B

Find b

√16+9√255

#a

Area

b²5²25m²

H

#b

Done already

I

#c

√144-81√63c=7.94

A

#d

1/2(7.94)(9)35.73m²

B

Code is

HIAB

find the probability of a freshman being called on in class if there are 12 sophomores, 10 juniors, 14 seniors, and 8 freshmen.

Answers

Answer:

18%

Step-by-step explanation:

8/44

Answer:

18% or 8/44

Step-by-step explanation:

add 12+10+14+8=44 then do 8/44

Find the solution to the equation below.

2x²+3x-20=0

Answers

Answer:

[tex]x=\frac{5}{2}[/tex]     or     x= -4

Step-by-step explanation:

To solve the quadratic equation, start by factorizing it.

[tex]2x^{2} +3x-20=0[/tex]

(2x -5)(x +4)= 0

Since the equation equals to zero, either one of its factor, i.e. (2x -5) or (x +4), can be equal to zero.

2x -5= 0     or     x +4= 0

Solve for x:

2x= 5         or           x= -4

[tex]\bf{x=\frac{5}{2}}[/tex]

_______

Alternatively, the quadratic formula can be used to solve the equation.

[tex]\boxed{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }[/tex]

This is especially useful when the quadratic equation cannot be factorized. To use the formula, ensure that the equation is in the form of [tex]ax^{2} +bx +c=0[/tex].

Additional:

For an example on solving quadratic equations using the quadratic formula, do check out the following!

https://brainly.com/question/27739892

Sally is packing for a holiday when she realizes that she only has enough room in her suitcase for two pairs of shoes. She randomly selects two pairs to pack from the 31 pairs of shoes that she owns in total.

If Sally has 6 pairs of high heels, what is the probability that she packs at least one pair of these?

Probability =__________

Answers

Using the hypergeometric distribution, it is found that there is a 0.3548 = 35.48% probability that she packs at least one pair of high heels.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

In this problem, we have that:

She has 31 pairs of shoes, hence N = 31.She has 6 pairs of high heels, hence k = 6.She selects two pairs, hence n = 2.

The probability that she packs at least one pair of high heels is given by:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,31,2,6) = \frac{C_{6,0}C_{25,2}}{C_{31,2}} = 0.6452[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.6452 = 0.3548[/tex]

0.3548 = 35.48% probability that she packs at least one pair of high heels.

More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394

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1 AB is tangent to circle O at B. The diagram is not drawn to scale. If AB=12 nd AO=15, what is the length of the radius (r)

Answers

Answer:

r = 9 units

Step-by-step explanation:

since AB is a tangent to the circle at B , then ∠ ABO = 90°

so Δ ABO is a right triangle

using Pythagoras' identity in the right triangle

OB² + AB² = AO² , that is

r² + 12² = 15²

r² + 144 = 225 ( subtract 144 from both sides )

r² = 81 ( take square root of both sides )

r = [tex]\sqrt{81}[/tex] = 9

3 pts What is the Slope-Intercept form of the equation of a line that passes through the point (-6, -3) and is parallel to the line y = 2x – 3? ​

Answers

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         What is the S.I. form of the equation that passes through (-6,3) and is parallel to y=2x-3?

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

    Parallel lines have the same slope.

[tex]\bigstar[/tex] The line y=2x-3 has a slope of 2, therefore, the line parallel to it has a slope of 2.

Now let's write the equation of the new line in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with -3, m with 2, and then write -6 in lieu of x1:-

[tex]\sf{y-(-3)=2(x-(-6)}[/tex]

On simplification,

[tex]\sf{y+3=2(x+6)}[/tex]

On further simplification,

[tex]\sf{y=2x+12-3}[/tex]

Which results in:-

[tex]\sf{y=2x-9}[/tex]

▲ our slope-intercept equation

Good luck with your studies.

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

Calculate the price of melons if melons cost $2.38 a pound and the melon on the scale weighs 2.2 pounds, making sure to round your answer to the nearest cent.

Answers

Answer:

$5.24 to nearest cent.

Step-by-step explanation:

Price of 2.2 pounds

= 2.38 * 2.2

= $5.236

Find three consecutive even integers such that the sum of 5 and the second is multiplied by -7, the result is 11 greater than 5 times the opposite of the third

Answers

Answer:

  -20, -18, -16

Step-by-step explanation:

For consecutive integer problems, it often works well to let a variable represent the middle one (or their average value).

__

Here, we can let x represent the second integer. Then the first is (x-2), and the third is (x+2). The given relation can be written as ...

  (5 +x)(-7) = 11 +5(-(x+2))

  -35 -7x = 11 -5x -10 . . . . . . eliminate parentheses

  -36 = 2x . . . . . . . . . add 7x -1

  -18 = x . . . . . . . . divide by 2

The three integers are -20, -18, -16.

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

y=3x+7

Step-by-step explanation:

take two points, (1,13) (2,19)

subtract using slope formula

19-13 2-1= 6/1 -> 6-> 3

find your y intercept (b) by using the first term in the 7 row (7)

Answer:

y = 3x +

Step-by-step explanation:

The equation of the line is given by:

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

The equation of a line, in slope-intercept formula, has the following format:

In which

m is the slope, that is, how much y changes when x changes by 1.

b is the y-intercept, that is, the value of y when x = 0.

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

Given two points (x,y), the slope is the change in y divided by the change in x.

We have points (-1, -1) and (3,11). Thus:

Then

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

Point (-1,-1) means that when , and we use this to find b.

Thus

A similar problem is given at brainly.com/question/13251894

Still stuck? Get 1-on-1 help from an expert tutor now.

Which tables could be used to verify that the functions they represent are inverses of each other? select two options.

Answers

The tables that can be used to show that the functions that made them are inverses of each other are the tables attached.

Which tables have functions that are the inverse of each other?

When functions are inverses of each other, they will give inverted x and y values.

This means that the value of x for one function, will be the value of y for the other function.

The tables that have inverse functions will therefore have a table where x values of:

627, 227, 27, 2, and 27 which will be y values in the other table.

Find out more on inverse functions at https://brainly.com/question/11735394.

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step right up for a brainilest

Answers

Answer:

0, 2/5, 1/6,-3/4,-7/10

Step-by-step explanation:

this is just what i think i didint understand the no spaces or no commas or negatives thing but here you go i hope its right

3 yards 5 feet 6 inches
X 7=?
F- 32 yards 2 feet
6 inches
G-
33 yards 2 feet
6 inches
H- 33 yards 2 feet
9 inches
J- 34 yards 2 feet
6 inches
K- none of these

Answers

3 yards 5 feet 6 inches X 7 is 33.833333 yards. The correct option is K- none of these.

Numbers of yards

First step

One yard is 36 inches hence:

3 yards 6 inches=(36 inches×3)+6 inches

3 yards 6 inches=108 inches+6 inches

3 yards 6 inches=114 inches

Second step

5 Feet to inches=5 ft×12

5 feet to inches=60 inches

Third step

Yards=[(114 inches+60 inches)×7]/ 36 inches

Yards=(174 inches×7)/ 36 inches

Yards=1,218 /36 inches

Yards=33.833333

Therefore the correct option is K- none of these.

Learn more about number of yards here:https://brainly.com/question/173055

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Abc is isosceles. ab=3x-4 and bc=5x-10 what is ab

Answers

Answer:

AB=5

Step-by-step explanation:

3x-4=5x-10

-4=2x-10

6=2x

3=x

AB= 3(3)-4

9-4

5

Answer:

ab = 5.

Step-by-step explanation:
As the 2 sides are equal in length:

3x - 4 = 5x - 10

3x - 5x = -10 + 4

-2x = -6

x = 3.

So ab = 3x-4 = 3(3)-4

= 5.

in the figure below, lines p and q are parallel. What do you notice?

35 points

Answers

Answer:

Answer:

A

Step-by-step explanation:

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

Angle 4 and 5 are both obtuse angles. There measurements are greater than 90 degrees and less than 180 degrees. Angle 4 and 5 could be either a 120 degree angle or a 130 degree angle.

Please help!!! Anything is helpful!

Answers

Step-by-step explanation:

Equation to find the sum of the first n terms :

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] x (2[tex]a_{1}[/tex] + (n - 1)d)

- where n is the first n terms

- where [tex]a_{1}[/tex] is the first term in the sequence

- where d is the difference (To find the difference: [tex]a_{1}[/tex] - [tex]a_{2}[/tex])

How to find n for the given sum :

1. Using the previous equation, plug in all the numbers that you know

2. PEMDAS then combine all like terms

3. Distribute what's on the outside to the inside of the parenthesis

4. Move  [tex]S_{n}[/tex] to the other side to make a quadratic equation

5. Solve the quadratic, then use the positive number and round that number (term of numbers that isn't whole isn't possible ig??)

Question 1:

Sum of first 10 terms : [tex]S_{10}[/tex] = [tex]\frac{10}{2}[/tex] ( 2 x 2 + (10 - 1)6)

 [tex]S_{10}[/tex] = [tex]\frac{10}{2}[/tex] (4 + (9)6) = (4 + 54) = 58

 [tex]S_{10}[/tex] = [tex]\frac{10}{2}[/tex] x 58

Answer : 290

Find n for the given sum : 1704 =  [tex]\frac{n}{2}[/tex] x (2 x 2 + (n - 1)6)

distribute 6 into (n-1)

1704 =  [tex]\frac{n}{2}[/tex] x ( 4 + 6n - 6)

combine like terms

1704 =  [tex]\frac{n}{2}[/tex] x ( -2 + 6n )

Distribute  [tex]\frac{n}{2}[/tex] to ( -2 + 6n )

1704 = [tex]\frac{-2n}{2}[/tex] - [tex]\frac{6n^{2} }{2}[/tex]

Simplify fractions and move 1704 to the other side

-3[tex]n^{2}[/tex] - n + 1704 = 0

Use a quadratic calculator to find the answer and use the answer with the whole number

Answer : -24

Question 2:

(i'm just gonna show you the answers for the rest of them-)

Sum of the first 14 terms: 490

Find n for the given sum: 33.65 (I'm gonna round it to 34)

Question 3:

Sum of the first 21 terms: 483

Find n for the given sum: 11.48 (rounded: 11)

Question 4:

Sum of the first 32 terms: -1328

Find n for the given sum: -9.34 (rounded -9)

really hope this helps in any way :D

Given that XY is a line segment with the angle a = 46 degrees, work out the value of the angle marked b.
B = ?

Answers

Answer:

The answers should be b=44°

Step-by-step explanation:

b=180°–90°–a

b=180°–90°–46°

b=44°

PLEASE SOMEONE HELP ME 50 POINTS AND I WILL MARK A BRAINLIEST

Answers

Answer:

First one is a, second one is d, and the third one is b

Step-by-step explanation:

hope this helps friend

hi I'm having some trouble

Answers

Answer:

4-4

Step-by-step explanation:

Substitute the actual values of the points into the distance formula.

Help asap.

Given the expression: 5x^10 − 80x^2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B:Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

5x² ( x² - 2x + 2 ) ( x² + 2x + 2 ) ( x² + 2 ) ( x² - 2 )

Step-by-step explanation:

→ Find the highest common factor from 5 and 80

5

→ Find the highest common factor of x¹⁰ and x²

→ Write the partially factored form

5x² ( x⁸ - 16 )

→ Factor down ( x⁸ - 16 )

( x⁴ + 4 ) ( x⁴ - 4 )

→ Factor down ( x⁴ + 4 ) ( x⁴ - 4 )

( x² - 2x + 2 ) ( x² + 2x + 2 ) ( x² + 2 ) ( x² - 2 )

Answer:

5x^2(x^8 -16)5x^2(x^2 +2x +2)(x^2 -2x +2)(x^2 +2)(x^2 -2)

Step-by-step explanation:

The greatest common factor is that factor that includes every prime factor that is found in both expressions. Once that is removed, the formula for the factorization of the difference of squares is needed.

__

A

Each expression factors as ...

  5x^10 = 5·x^2·x^8

  80x^2 = 5·x^2·16

The common factors in these expressions are 5, x^2, so the expression with the greatest common factor factored out is ...

  5x^2(x^8 -16)

__

B

The remaining factor is the difference of squares, which factors as ...

  a² -b² = (a -b)(a +b)

Here, we have a=x^4 and b=2^2, so the factors of the difference are ...

  x^8 -16 = (x^4 -4)(x^4 +4)

The first of these factors is also recognizable as a difference of squares, so it can be factored further:

  x^4 -4 = (x^2 -2)(x^2 +2)

The second factor can also be cast as the difference of squares, allowing it to be factored further:

  x^4 +4 = (x^4 +4x^2 +4) -(4x^2) = (x^2 +2)^ -(2x)^2

  = (x^2 +2x +2)(x^2 -2x +2)

So, the complete factorization of the original expression is ...

  5x^10 -80x^2 = 5x^2(x^2 +2x +2)(x^2 -2x +2)(x^2 +2)(x^2 -2)

_____

Additional comment

We could factor to linear terms if we wanted to use radicals and complex numbers. This is the factorization in integers.

Find the volume of this right triangular prism 5cm 8 cm 3 cm

Answers

Answer:

I can help, but can you label which is base, height, and length

Step-by-step explanation:

You have been given data about gas prices in 15 states.

2018 Gas Price Data

Max: $2.42

Min: $2.03

Mean: $2.098

Median: $2.06

Mode: $2.04

Variance: 0.0121

Standard Deviation: $0.1098

What is the range of the data for the 2018 data?

Range = maximum value - minimum value

Answers

The range is $0.39 which is the difference of the max value and min value.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data given:

Max: $2.42

Min: $2.03

Mean: $2.098

Median: $2.06

Mode: $2.04

Variance: 0.0121

As we know, the range = Max value—Min value

Here, Max = $2.42

Min = $2.03

Range = 2.42 - 2.03 = $0.39

Thus, the range is $0.39 which is the difference of the max value and min value.

Learn more about the median here:

brainly.com/question/21396105

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Hi can someone help me with my math homework thankyouu

Answers

Answer:

Move the decimal point in 70.91 three places to the right

 so that it becomes 70910.

I need help with the last question is it


per _______

What???

Month
Orrr


And explain why because you better be freakin right

Answers

Answer: Month

Step-by-step explanation: x represents the number of months, and because the equation is for number of clients per something, it would be month. I hope that helps!

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