whats the answer for -2x^2-28x-102=0

Answers

Answer 1

Answer:

               NO REAL SOLUTIONS

complex solutions:  x = -7 ± i√2

Step-by-step explanation:

[tex]-2x^2-28x-102=0\\{}\qquad\qquad^{\div(-2)}\qquad\ \ ^{\div(-2)}\\x^2+14+51=0\quad\implies\quad a=1\,,\ b=14\,,\ c=51\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-14\pm\sqrt{14^2-4\cdot1\cdot51}}{2\cdot1}=\dfrac{-14\pm\sqrt{196-204}}{2}[/tex]

[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}[/tex]    means NO REAL SOLUTIONS  (as there is no real √[-8])

However in complex numbers we have:[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}=\dfrac{-14\pm2\sqrt{-2}}{2}=\dfrac{2(-7\pm\sqrt{-2})}{2}=-7\pm\sqrt{-2}\\\\\\x_1=-7+i\sqrt2\ ,\qquad x_2=-7-i\sqrt2[/tex]


Related Questions

A city has h a population of 2549786 people

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Step-by-step explanation:

Braziliannngffcghjhhb

hgg

Plz answer this as well. Thankyou.

Answers

Answer:

21

Step-by-step explanation:

(-5-2)(-3)

= (-7)(-3)

=21

Please help! I dont understand this, I will give 15 points!

Answers

Answer:

Step-by-step explanation:

common denominator is the multiplication of the two denominator or the least common multiple of the two

                    common denominator 24              10                 12

13/24 +7/12                   ☑ ☑

7/6+(-5/12)                                                                                  ☑  ☑

-3/4+(-2/3)                                                                                  ☑  ☑

5-7/10                                                                     ☑  ☑

1/8 - 5/3                          ☑  ☑

3/2 - 4/5                                                                  ☑  ☑

A group of adults were asked to name their favourite juice. The table gives information about their answers. Work out the angles that would be used to draw a pie chart.

FRUIT JUCE || ORANGE || APPLE || GRAPE || OTHER||

NUMBER || 40 || 27 || 15 || 8 ||

ANGLE || ? || ? || ? || ? ||

Answers

Answer:

ORANGE: 160

APPLE: 108°

GRAPE: 60

OTHER: 32

Step-by-step explanation:

THE SUM OF 40, 27, 15 AND 8 IS 90

90 GOES INTO 360 (THE ANGLES OF A CIRCLE) EXACTLY FOUR TIMES

TO GET EACH ANGLE OF THE PIE CHART YOU SIMPLY NEED TO TIMES EACH NUMBER BY FOUR!

An investor purchased a house 8 years ago for ​$48,000 This year it was appraised at ​$73,500 Complete parts​ (a) through​ (d) below. ​(a) A linear equation V=mt+b,0

Answers

Answer:

b = $48000, m = $3187.5 / year

Step-by-step explanation:

The equation of a linear function is given as y = mx + b, where m is the rate of change, b is the value of y when x = 0, y = dependent variable and x = dependent variable.

Given that V = mt + b:

b = initial price of the house at 0 years = $48000

V = mt + 48000, At 8 years the house is appraised at ​$73,500

73500 = 8m + 48000

8m = 73500 - 48000

8m = 25500

m = 3187.5

Jackson was selling cups of lemonade. On Saturday, he sold a total of 14 cups. On Sunday he sold cups at a steady rate of 3 cups per hour. Set up and solve an equation to find how many hours, h, it took Jackson to sell 47 cups (including those from Saturday).

Answers

Answer:

(47-14) h ÷ 3 =11

Step-by-step explanation:

47-14=33

33 divided by 3 is 11

Jackson takes 11 hours to sell 47 cups.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of hours that Jackson sold his cups on Sunday.

Now,

Saturday cups + Sunday cups = Total cups.

14 + 3x = 47

3x = 33

x = 11

Hence "Jackson takes 11 hours to sell 47 cups".

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Find the distance between the points (0,2)and (-5,-9)The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The answer is

[tex]\sqrt{146} \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(0,2)and (-5,-9)

The distance is

[tex]d = \sqrt{( {0 + 5})^{2} + ({2 + 9})^{2} } \\ = \sqrt{ {5}^{2} + {11}^{2} } \\ = \sqrt{25 + 121} \\ = \sqrt{146} [/tex]

We have the final answer as

[tex] \sqrt{146} \: \: \: units[/tex]

Hope this helps you

Answer:

ok. i have solved. u can have a look .

If mZDEF = (7x + 4)", mZDEG = (5x + 1)', and mZGEF = 23", find each
measure.
E
F
D
Angle DEF -
What is x?

Answers

Answer:

Yoy answer is x=10

Step-by-step explanation:

We already know what ∠GEF is 23°

so you would have to create an equation like this [tex]23+(5x+1)=7x+4[/tex]

you add 23+1=24 and get [tex]5x+24=7x+4[/tex] subtract 5x on both sides

[tex]24=2x+4[/tex] subtract 4 on both sides

[tex]20=2x[/tex] divide 2 x=10

∠DEF=7(10)=70+4=74

∠DEG=5(10)=50+1=51

To check 51+23=74

Solve 3(x + 6) - 2(x - 2) ≥ 10

Answers

Answer: x ≥ -12

Step-by-step explanation:

Step 1: Simplify both sides

x+22 ≥ 10

Step 2: Subtract 22 from both sides

x + 22 −22 ≥ 10 −22

Your answer should be

x ≥ −12

Answer:

[tex]x \geqslant - 12[/tex]

Step-by-step explanation:

Please see the attached picture for full solution.

Jane has bought 10 pounds of dog food. She feeds her dog 2/5 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.

Answers

Answer:

25 meals

Step-by-step explanation:

All you have to do is divide 10 ÷ 2/5 and you'll get 25 :)

Jason paid $9 for 20 erasers. If the price of each
eraser was decreased by $0.15, how many
erasers could he have bought for the same
amount of money at the new price?
erasers

Answers

the answer would be 45 cents per each eraser

Sal, John and Desmond have formed a partnership. The total investment was $750,000.
Sal owns 40% and John owns 25% of the partnership. How much did Desmond invest?

Answers

Desmond invest 35 %

2. Lenny is making pasta for dinner. The recipe calls for 3 cups of sauce to serve 15
people. If Lenny serves 60 people, how many cups of sauce does he need?

Answers

3 cups= 15 people
60/15= 4
4*3=12

Lenny needs 12 cups of sauce

PLEASE HELP!

Function Notation
Evaluate the following expressions give the functions below:
F(x)=4x+5 H(x)= x+ 2
g(x)=3x^2-4

1.f(5)=

2.h(-8)=

3.g(2)=

4.f(-4)=

5.h(13)=

6.g(3)=

7.f(6)=

8.h(-9)

Answers

Answer:

sorry we can't read such type of this exercise

What is the solution set for −4x+10≥5x+55?

Answers

Answer:

Step-by-step explanation:

-4x + 10 ≥ 5x + 55

-9x + 10 ≥ 55

-9x ≥ 45

x ≤ -5

1. Which of the following is an equation for the
inverse of the function f(x)
3x + 1 ?

Answers

Answer:

f^-1(x)=x/3-1/3

Step-by-step explanation:

i need a step by step explanation of how to solve this

Answers

Answer: x = 6

Step-by-step explanation:

Subtract 8 on both sides. The new equation should be -2x = -3x + 6.Now, add 3x on both sides. It should give you x = 6.

What number should be placed in the box to help complete the division calculation. Pls help

Answers

Answer:

I believe it would be 4

The area, A, of a square with a side of length x is given by A = x^2? Use this relationship to verify that doubling the length of the side of a square floor increases the area of
the floor by a factor of 2^2

Answers

Answer:

Hi

Step-by-step explanation:

Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?

Answers

I don’t really know, but here’s my guess, the farm was 500 acres big, and now he has 150 land.

I need help with this geometryyyy workkk

Answers

Answer:

Perpendicular

Step-by-step explanation:

For this problem, it is important to note two things.  One line is completely vertical, and the other line is completely horizontal.

The line y=9 is completely horizontal at the y-value at 9.  The line x = 2 is completely vertical at the x-value at 2.

Hence, these two lines would be perpendicular.

Cheers.

Answer:

Perpendicular.

Step-by-step explanation:

Since it makes a huge cross +, which we want it to be, we need the lines to intercept and it makes a right angle. That means it is perpendicular.

2xy when x = 5 and y = -3

Answers

Answer:

the answer is -30

Step-by-step explanation:

2xy=2*5*-3

= -30

The value of the expression 2xy will be -30.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 2xy and x = 5 y = -3. To calculate the value put the value of x and y in the expression.

2xy=2 x 5 x -3

2xy= - 30

Therefore, the value of the expression 2xy will be -30.

To know more about an expression follow

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a1= -26. d= 200
a(n)= ?

Answers

Answer:

a(n) = -26+(200n-200)

Step-by-step explanation:

The formula for arithmetic series is "Tn=a+(n-1)d

Then,the elements in the formula are substituted with numbers.i.e Tn= -26+(n-1)200.

therefore,Tn= -26+(200n-200)...

Nb: This answer is Subjected to review, thanks.

Please help !!!!!!Asap!!

Answers

Answer: x=7, EF=12, FG=15

Step by Step:
(4x-16) + (3x-6) = 7x-22
7x-22=27
7x=27+22
7x=49
x=7

4(7)-16= 12
3(7)-6=15

Which is greater -8 or 3

Answers

3 is a greater value than -8

Answer:

three is greater than -8

What is the value of n in the equation

Answers

u didn’t include any equation

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,3) and (-1,5)

Answers

Answer: 2.83

Step-by-step explanation:

Use the distance formula

How do you solve this problem? 7/10 x 1 1/3

Answers

Answer:

77/30

Step-by-step explanation:

7/10 x 11/3 = 7x11 = 77 and 10x3 = 30

the answer is 77/30

The answer is 2.56666667. All u have to do is multiply 7/10 by 11/3.

[tex](\sqrt{2}-3i)(\sqrt{2}-5i)[/tex] plz simplify

Answers

2-3i square root of two -5i

Answer:

-5i

Step-by-step explanation:

A truck can be rented from company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B

Answers

Answer:

200 miles

Step-by-step explanation:

Company A

Daily charge = $130Per mile = $0.20x miles per day = 130 + 0.2x

Company B

Daily charge = $50Per mile = $0.60x miles per day = 50 + 0.6x

Assume x miles that makes same amount for both options, then:

130 + 0.2x = 50 + 0.6x0.6x - 0.2x = 130 - 500.4x = 80x = 80/0.4x = 200 miles

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