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

What is the product?
(y^2+3y+7][8y^2+y+1)

Answers

Answer:

8 y^ 4 + 25 y^ 3 + 60 y^ 2 + 10y + 7

Hope this helps!

Answer:

8 y^ 4 + 25 y^ 3 + 60 y^ 2 + 10y + 7

Step-by-step explanation:

edge 2021

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

A zoo has 15 emperor penguins. The emperor penguins make up 30%, percent of all the penguins at the zoo. How many penguins live at the zoo?

Answers

Answer:50 penguins it’s right

Sarah's parents started a savings account for her when she was 12. The plan her parents chose earns 3.2% each year, and her parents initial deposit was $3500. How much will be in Sarah's savings account after 3 years when Sarah is ready to look for a car?

Answers

Answer:

  $3846.87

Step-by-step explanation:

Assuming the interest is compounded annually, the value in 3 years is ...

  FV = P(1 +r)^t

  FV = $3500(1.032^3) ≈ $3846.87

Sarah's account will be worth about $3846.87.

What is the approximate percentage of December's total sales that skateboards accounted for? A. 27% B. 73% C. 56% D. 17%

Answers

Answer:

A

Step-by-step explanation:

I chose that and got it right

18/(18+37+11) = 0.272727... which means approx. 27%.

What is the slope of the line through (-7,-2) and (-6, 7)?
Choose 1 answer:
1
9
B
-9
9

Answers

Answer:

9

Step-by-step explanation:

Slope is rise over run or change y/change x.

7 - -2 = 9

-6 - -7 = 1

Slope = 9/1 or 9

___________________________________________________I AM ALWAYS HAPPY TO HELP :)

What is not a description of slope?
rise over run
the rate of change of a line
change in y over the change in x
the ratio of horizontal change compared to vertical change

Answers

Answer:

Option (d) is wrong.

Step-by-step explanation:

Slope is:

rise over runThe rate of change of a lineChange in y over the change in xThe ratio of vertical change  to the horizontal change.

It can be given by mathematically as follows :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{and}\\\\m=\dfrac{dy}{dx}[/tex]

Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"

on a coordinate grid, line segment ab has midpoint p at (4,-3). if endpoint b has coordinates of (24,16), what is the x-coordinate of point a?

Answers

Answer:  

(-16,-22)

Step-by-step explanation:

B (24,16)

Mid point (4,-3)

24 is -20 away from 4

16 is -19 away from -3

4-20=  -16

-3-19= -22

What is the value of x in the equation below?

6 (x minus 8) = 72

Answers

Answer:

[tex]x = 20[/tex]

Step-by-step explanation:

[tex]6(x - 8) = 72 \\ 6x - 48 = 72 \\ 6x = 120 \\ x = 20[/tex]

Answer:

The correct answer is c. 20

Please help guys lol I have no clue how to do this... it’s the square root method?

Answers

Answer:

2 seconds.

Step-by-step explanation:

s=16t² -- (1)

s=64. (given)

Put value of s in (1)

64=16t²

16t²=64

t²=64/16

t²=4

t=√4

t=2 seconds.

Hope this helps :-)

A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
What is the amount of sales tax charged on the repaired computer at Store A?

Answers

Answer:

A

Step-by-step explanation:

The amount of sales tax charged on the repaired computer at Store A is 72 dollars.

We have to given that,

A 3-column table with 4 rows.

Column 1 has entries Computer repair, sales tax, gratuity, shipping.

Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free.

Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.

Hence, For store A,

The amount of sales tax charged on the repaired computer at Store A is,

6% of 1200

= 6/100 x 1200

= 6 x 12

= 72 dollars

Therefore, the amount of sales tax charged on the repaired computer at Store A is 72 dollars.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

6-4(2x-3)+10x
Show and explain work

Answers

Answer:

18+2x

Step-by-step explanation:

6-4(2x-3)+10x

6-8x+12+10x    multiply 2x-3 by -4

18+2x               combine like terms

Jillian solved the equation v + 4.3 = 7.05 using the work shown below. * v + 4.3 = 7.05 v + 4.3 − 4.3 = 7.05 + 4.3 v = 11.35 What error did Jillian make?

Answers

Answer:

Please check explanation

Step-by-step explanation:

Here, in this question, we are interested in identifying the error made by Jillian in his solution of the equation.

This error is traceable to the second step of his solution. Adding 4.3 to 7.05 and subtracting again is the same thing as not adding anything or just adding zero only.

What he should have done is to subtract the value of 4.3 from both sides of the equation. In that manner, he would have been able to isolate v on the left hand side of the equation

Convert 6 20
into a decimal

Answers

Answer:

6.20

wait what do u mean

can someone help me cause apparently nobody knows how to do this

Answers

Answer:

do what

Step-by-step explanation:

What is 6/11 as a decimal

Answers

Answer:

0.54

Step-by-step explanation:

6 divided by 11 is 0.54-non-terminating therefore we get 0.54

Answer:

0.5455

Step-by-step explanation:

Plz choose mine as brainliest

I want to pull all nighter and stay awake for 36 hours. If I woke up at 12 PM, and if it's currently 11:22 PM right now, then how long have I been awake?

( I actually need to know I'm pulling an all nighter to reset my sleep schedule) ​

Answers

Answer:

11 hours and 22 minutes

Timothy puts $1,500 into a savings account. He receives a 1.35% interest rate from his bank.
If he does not add any money to the account and only collects interest, how much will have have by the time he graduates from high school 40 months later ?

Answers

Answer:

$2310

Step-by-step explanation:

1500*1.35%=20.25 each month

20.25*40=810

1500+810=2310

() + -8= -6 what is the awnser

Answers

Answer:x=2

Step-by-step explanation:

change () to x

x + -8= -6

-6+8=2

x=2

5x - 8x + 9 = 2x + 39​

Answers

Answer:

pliz send me the formula, only dsn I can solve your answer

The answer to your question is -6

Kira runs each lap in 7 minutes. She will run less than 42 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

n=6

Step-by-step explanation:

N = 6

Almost positive, your welcome

-2 = 7+3v
Solve for v

Answers

-3v = 7+2. -3v=9. V=9/3. =-3. I think this is the answer Hope it helps

Answer:

[tex] - 2 - 7 = 3v[/tex]

or,

[tex] - 9 = 3v[/tex]

or,

[tex] - 9 \div 3 = v[/tex]

or,

[tex] -3 = v[/tex]

or,

[tex]v = - 3[/tex]

Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob's checking account?V

Answers

Answer:

$702.53

Step-by-step explanation:

Start with Jose's initial balance.

[tex]178.74[/tex]

He wrote checks, so we have to subtract the total amount the checks were worth. Let's first add the three amounts.

[tex]36.52+18.92+25.93[/tex]

Solve.

[tex]81.37[/tex]

Subtract the total amount of the checks from Jose's initial balance.

[tex]178.74-81.37[/tex]

Solve.

[tex]97.37[/tex]

The amount above is now what is in Jose's checking account.

But, he also deposited money, meaning he put money in his checking account. Now, let's add the three amounts he deposited.

[tex]300.00+100.00+205.16[/tex]

Solve.

[tex]605.16[/tex]

The amount above is what Jose adds to his checking out.

Add the total value of the deposited money and his new balance.

[tex]605.16+97.37[/tex]

Solve.

[tex]605.16+97.37=702.53[/tex]

Can someone help me

Answers

Answer:

I think it is the first one ( 2,0)

but if I am wrong I am sorry

Hello there!

The answer is number one or circle one. Because B is right on top of it. Meaning that it's just one whole number and in this case would be 2.

I hope this helps

what is the LCM of 25 and 35

Answers

Answer:

175

Step-by-step explanation:

Select all the sums that are positive.
A. -5 + (-2)
B. 5+(-2)
C -3 + 4
D. 0 +(-3)
E –2 +4

please help

Answers

a = -7 negative
b = 3 positive
c = 1 positive
d = -3 negative
e = 2 positive

what are the common multiples of 8 and 12?

Answers

Answer:

common multiples: 24, 48, 72, 96

Answer:

common multiples include 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.

or 12, 24, 36, 48, 60, 72, 84, 96.

Step-by-step explanation:

Translate each phrase into an expression with integers.
Do not simplify. You'll need to use parentheses to subtract a negative number
.
a. The opposite of 6:
b. The opposite of – 6:
c. Negative six
d. 8 minus negative 8:

Answers

Answer:

  a. -6

  b. -(-6) or 6

  c. -6

  d. 8 -(-8)

Step-by-step explanation:

The opposite of something is that something preceded by a minus sign (or with its minus sign removed).

a. the opposite of 6 is -6

b. the opposite of -6 is -(-6) or 6

c. negative 6 is a description of the integer -6

d. 8 minus negative 8 is 8 - (-8)

f(0) = x - 9
Help if you can?!

Answers

Answer:

Substitute the given value into the function and evaluate is

− 9

What is the y-intercept of the function f(x)=4 – 5x?

Answers

Answer:

The y intercept is 4

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