Find the discriminant and State of real and imaginary solutions.

9n^2 - 3n - 8= -10

-2x^2 - 8x -14= -6​

Answers

Answer 1

[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ 9n^2-3n-8=-10\implies 9n^2-3n+2=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}n^2\stackrel{\stackrel{b}{\downarrow }}{-3}n\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]

[tex](-3)^2-4(9)(2)\implies 9-72\implies -63\leftarrow \stackrel{\textit{two \underline{imaginary} solutions}}{\textit{no real solution}} \\\\[-0.35em] ~\dotfill\\\\ -2x^2-8x-14=-6\implies -2x^2-8x-8=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{-8}x\stackrel{\stackrel{-8}{\downarrow }}{-8}=0\qquad \qquad \qquad \qquad (-8)^2-4(-2)(-8) \\\\\\ 64-64\implies 0\leftarrow \textit{one \underline{real} solution}[/tex]


Related Questions

How far is -10 from 0​

Answers

Answer:

10

Step-by-step explanation:

Distance is always positive

|-10-0|=10

Mark me brainliest!!

Answer:

10! if you can make me brainiest id be happy:)!

Step-by-step explanation:

The distance between City A and City B is 250 miles. A length of 1.6 feet represents this distance on a
certain wall map. City C and City D are 2.24 feet apart on this map. What is the actual distance
between City C and City D?

The actual distance between City C and City D is ? miles

Answers

Answer:

Y = city C - city D = 2.24 ft

2.24 ft / (1.6 ft / 250 mi) = 350 mi  distance between C and D

Note: 250 mi / 1.6 ft = 156.25 mi / ft

156.25 mi / ft * 2.24 ft = 350 mi

트 E At which value in the domain does f(x) = 0​

Answers

Answer:

wheres the graph

Step-by-step explanation:

Multiples that are shared by two or more numbers are____

Answers

Answer:

Multiples that are shared by two or more numbers are common multiples.

Step-by-step explanation:

A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are referred to as the common multiples of those numbers.

I hope this helps! ^-^

In a class of 25 students, 7 students have 2 brothers or sisters. 4 students have 1 brother or sister. 3 students do not have any brothers or sisters. 6 students have 3 brothers or sisters. The remaining students have 4 brothers or sisters.

Part A

Use the drop-down menus to make the statement true.

The scale of the line plot should have    Choose...   (0,    1,   7,   8)   as its least data value and    Choose...   (3,    4,   7,   25)   as its greatest data value.

Part B

Use the drop-down menus to make each of the statements about the number of dots true.

 There will be   Choose...   (1,   2,    3,    4)   dots above 1.

There will be   Choose...   (4,    5,    6,    7)   dots above 4.

There will be three dots above   Choose...   (0,    1,    2,    3)   

Answers

Using the basis of how we must represent data on a graph, we can write:

A) The scale is 1, and the maximum value is 7.

B)

 Above 1 we already know that there must be 4 dots.    Above 4, there must be 6 dots.    We only will have 3 dots above the 0 (3 students have 0 brothers or sisters).

How to correctly represent the data?

First, we know that the sample has 25 people in it, an we measure the number of brothers, in such a way that the number of brothers/sisters goes from 0 to 5.

Then, the horizontal axis must go from 0 to 4, in such a way that above the 0 we have 3 dots (because 3 students have 0 brothers or sisters), above the 1 we have 4 dots (because 4 students have one brother or sisters), and so on.

7 students have 2 brothers or sisters (that is the largest number) so the vertical axis must go from 0 to 7.

A) The scale of the line plot is 1, each dot represents 1 student. And the greatest value is 7 (for the students with 2 brothers or sisters).

B)

  Above 1 we already know that there must be 4 dots.    Above 4, there must be 6 dots.    We only will have 3 dots above the 0 (3 students have 0 brothers or sisters).

If you want to learn more about plotting data, you can read:

https://brainly.com/question/24461724

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: A would be the correct answer

Step-by-step explanation: hope it helps

Option A
Complementary angles add up to 90.

Choose ALL answers that describe the polygon below.

Answers

Parallelogram quadrilateral rhombus trapezoid

Brainliest if correct

Answers

Answer:

[tex]\frac{1}{4} -\frac{1}{12} = \frac{3}{12} -\frac{1}{12} =\frac{2}{12}[/tex]

So hence, Your answer is 2/12

shown above is the other answers

Thanks!

the area of rectangle is x²+5x-36 sq. unit. its length and breadth is reduced by 2/2units. find new area of rectangle​

Answers

Step-by-step explanation:

length × breadth = x² + 5x - 36

let's find, what expression was multiplied by what expression to give that result.

first we see, we have a pure x² term.

so, both start with (x + ...) or (x - ...).

then we see the last (constant) term -36.

so, we have a

(x + a)(x - b)

situation.

36 is the product of

6×6

9×4

12×3

18×2

the term +5x tells us that the difference between a and b must be 5. and a as the positive number must be bigger to give us the "+" (the multiplication contains "... + ax - bx ...").

and that means a = +9, b = -4

so, the original area calculation was

(x + 9)(x - 4) = x² + 5x - 36

when we decrease both factors by 2, we get

(x + 9 - 2)(x - 4 - 2) = (x + 7)(x - 6) = x² + x - 42

that is the new area of the rectangle.

(a) Draw and label a net for the pyramid.
(b) Determine the surface area of the pyramid. Show your work.

Answers

Answer:

so i dont know the answer but i know that if u are determining the surface are then u should multiply two times and then divide once

Step-by-step explanation:

so 10 times 8 times 8 =640

~emmitheblackcat~

The surface area of the pyramid will be 224 square millimeters. The graph is labeled below.

What is the area?

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

The surface area of the pyramid is given as,

A = 4 (Area of triangle) + Base area

A = 4 x (1/2 x 10 x 8) + 8 x 8

A = 160 + 64

A = 224 square millimeters

The surface area of the pyramid will be 224 square millimeters. The graph is labeled below.

More about the area link is given below.

https://brainly.com/question/27683633

#SPJ2

What is the area of this quadrilateral
A. 42 square feet
B. 30 square feet O
C. 36 square feet
D. 12 square feet​

Answers

Answer:

A

Step-by-step explanation:

You start with the rectangle. The formula is l×w.

10× 3=30

You move on to the triangles.

the formula is 1/2bh.

3×4=12

12/2=6

you add all of the values together

30+6+6=42 square feet

Find the value of xx, yy, and zz, in the rhombus below.

Answers

Answer:

Step-by-step explanation:

A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.

3x - 4 = 3y + 8 = -2x - 9 = 39

The value of x is 43/3

The value of y is 31/3

The value of z is -24

What is a rhombus?

A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.

We have,

Rhombus:

All four sides are equal.

So,

3x - 4 = 3y + 8 = -2x - 9 = 39

Now,

3x - 4 = 39

3x = 39 + 4 = 43

3x = 43

x = 43/3

3y + 8 = 39

3y = 39 - 8

3y = 31

y = 31/3

-2z - 9 = 39

-2z = 39 + 9

-2z = 48

z = -24

Thus,

The value of x is 43/3

The value of y is 31/3

The value of z is -24

Learn more about rhombus here:

https://brainly.com/question/12665650

#SPJ2

the negations of each these propositions "today is monday"

Answers

Answer: Today isn't Monday.

Step-by-step explanation:

Which graph shows the solution set for 2x + 3 > -9?

Answers

Answer:

Last one

Step-by-step explanation:

Simplify the inequality

2x + 3 > -9

Subtract 3

2x > -12

Divide by 2

x > -6

The last one shows x > -6 so it's the correct answer.

statement TRUE or FALSE? Explain your answer in full sentences. 0.34 is greater than 0.5 because 34 is greater than 5

Answers

Answer:

False

Step-by-step explanation:

.34 is smaller than .5 because .5 is 50/100 and .34 is 34/100

working with decimals is different than working with whole numbers.


What is the area, in square inches, of the rectangle below?


3/8 inch

2/3 inch

Answer choices:


A square 16/9inches



B 25/24 square inches


C 5/11 square inches

D 6/24 square inches


PLEASE HELP ASAP!!

*if you want to see it with your eyes then you can look at the picture* :)


Answers

Answer:

Given, length, l = 3/8 inches

breadth, b =2/3 inches

We have

area = l × b

= 3/8 × 2/3

= 6/24

Find the value of x, y, and z in the rhombus below

Answers

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]

Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]

*WILL MARK BRANLIEST PLEASE ANSWER*
Guys what is the perimeter?
-PHOTO INCLUDED-

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Perimeter of a triangle = sum of measures of each side ;

[tex] \qquad \rightarrow \sf p = 9 \: ft + 8y + 14 \: ft[/tex]

[tex] \qquad \rightarrow \sf p =23 \: ft + 8y[/tex]

Perimeter = 9+8+14
=31

Please help me ASAP

I will mark brainliest

( Its not hard im just tired )

Answers

Answer:

Step-by-step explanation:

Length x Width= Area

12 x 12= 144

144in^2

Find the area of each figure in square units.

show work

and explain how you got your answer

Answers

Answer:

  20 square units

Step-by-step explanation:

The area of a parallelogram is the product of its base length and the height measured perpendicular to the base.

Here, the base is 5 units and the height is 4 units. These can be seen by counting the grid squares.

  A = bh

  A = (5 units)(4 units) = 20 units²

The area is 20 square units.

describe the mean absolute deviation

Answers

Answer:

Step-by-step explanation:

From Khan Academy, "Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are."

Find the inverse of the function f(x) = 3 − 4( x/2− 1/2).
Simplify your answer.

Answers

Answer:

[tex]f^{-1} (x)=-\frac{x}{2} +\frac{5}{2}[/tex]

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Replace x and y,  to find inverse function f , and compute the resulting equation for x.

there will be more than one inverse if the elementary function is not one-to-one.

So, exchange the variable: [tex]y=5-2x[/tex] becomes [tex]x=5-2y[/tex]

Now, solve the equation: [tex]x=5-2y[/tex] for y

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

What’s 6.34 x 10 to the 5th power in standard notation

Answers

Answer:

Step-by-step explanation:

The exponent is 5, making it 10 to the power of 5. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 5 time(s):

This data set represents the number of cups of flour used in different recipes. What is the mean of this data set? {1/2, 1/3, 2/3, 1 1/2} Enter your answer as a fraction in simplest form in the box. ​

Answers

Using it's concept, it is found that the mean of the data-set is of [tex]\frac{3}{4}[/tex].

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, the 4 observations are given by:

[tex]\left{\frac{1}{2}, \frac{1}{3}, \frac{2}{3}, 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{3}{2}\right}[/tex]

Hence, the mean is given as follows:

[tex]M = \frac{\frac{1}{2} + \frac{1}{3} + \frac{2}{3} + \frac{3}{2}}{4} = \frac{\frac{3 + 2 + 4 + 9}{6}}{4} = \frac{18}{24} = \frac{3}{4}[/tex]

The mean of the data-set is of [tex]\frac{3}{4}[/tex].

More can be learned about the mean of a data-set at https://brainly.com/question/24628525

Jessica is 2 years older than Maggie. The sum of their ages is 26. Define variables and write an algebraic equation to represent the situation.

Answers

Answer:

2+26= 27

Step-by-step explanation:

sana maka tulong po Ito

What is the slope of the line through (-5, -10) and (-1, 5)?

Answers

[tex] the \: slope \: is \: \frac{15}{4} \: or \: 3.75 \\ \\[/tex]

[tex]using \: the \: slope \: fourmula \: = \\ \\ m = \frac{y {}^{2} }{x {}^{2} } - \frac{y {}^{1} }{x {}^{1} } \\ \\ plugging \: in \: our \: points \: = \\ \\ m = \frac{5}{ - 1} - \frac{ - 10}{ - 5} \\ \\ = \frac{5}{ - 1} + \frac{10}{5} \\ \\ [/tex]

[tex] = \frac{15}{4} \\ \\ = 3.75[/tex]

I HOPE IT HELPS YOUPLEASE MARK ME BRAINLIEST:)

Solve by factoring 6p^2 - 13p + 6 = 0

Show all work below

Answers

Answer:

p = 3/2 ; p = 2/3

Step-by-step explanation:

how many times greater is 7¹² than 3.5⁹​

Answers

Answer:

7^12= 13841287201

3.5^9= 78815.6386719

Divide: 13841287201/78815.6386719= 175616

7^12 is 175616 times greater than 3.5^9

A boat travels 300.4 kilometers in 11 hours (with a constant speed) how much time will it take traveling 240 kilometers

PLS HELPPPPP​

Answers

Answer:

The boat travels (300.4 km / 11 hours) which is 27.30909091 kilometers per hour,  So it would take 240 / 27.30909091 hours or 8.78828229 hours.  (Which rounds off to 8.79 hours)

Step-by-step explanation:

1 or 2 days I should be because it says 240!

Wren is putting bagels into boxes. She puts
8 bagels each into 325 boxes and 12 bagels
each into 150 boxes. She has 6 bagels left over.
How many bagels did Wren start with?

Answers

ANSWER: 4406


8 bagels x 325 boxes= 2600
12 bagels x 150 boxes= 1800
this is how many bagels she has packed^

2600+1800=4400 (add 6 that she had left over making 4406!)

this means Wren started with 4406 bagels.

hope you have a wonderful day and may this help!
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