(4 x 10,000) + (2 x 1,000) + (9 x1 00) + (4 x 1 0) + (6 x 1) + (3 x 0.1) + (7 x 0.01) in standard form

Answer:

The values of k that make the given equation having imaginary roots are:

k < -18, or (-∞,-18).

Step-by-step explanation:

Nature of the Roots of a Quadratic Equation

The standard representation of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

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

The expression:

[tex]d=b^2-4ac[/tex]

Is called the discriminant. The discriminant determines the nature of the roots of a quadratic equation as follows:

If d=0, there is only one real root.

if d>0, there are two different real roots

if d<0, there are two different imaginary (complex) roots

We are given the equation:

[tex]-2x^2+12x+k=0[/tex]

Comparing with the standard quadratic equation, we have:

a=-2, b=12, c=k

Calculating the discriminant:

[tex]d=12^2-4(-2)k[/tex]

[tex]d=144+8k[/tex]

If the equation has imaginary roots, then d<0, thus:

144 + 8k < 0

Subtracting 144:

8k < -144

Dividing by 8:

k < -18

The values of k that make the given equation having imaginary roots are: k < -18, or (-∞,-18).

Answer:

population= 4968

Step-by-step explanation:

15/100= 0.15

1+0.15= 1.15

1.15 x 4500= 5175

4/100= 0.04

1-0.04= 0.96

0.96 x 5175= 4968

5 C + 3 < 28 a - 4 C - 214

a>9c +31

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

28. 4

C >28a-21

------

9

Answer:

c < 5 or c <= -4

Step-by-step explanation:

apek

Answer:

They are parallel

Step-by-step explanation:

(3,8)(-6,5): do sloe formula (y1-y2 over x2-x1)

AB: 1/3 slope       (Full formula y=1/3x+7)

(-6,7)(-3,8) --->  8-7 over -3-(-6) = 1/3

CD: 1/3 slope      (Full formula y=1/3x +9)

They have the same slope so they are parallel

Answer:

noooooooooooo dont:(

Step-by-step explanation:

Answer:

2, 5, 6 are all 154

1, 3, 4, and 7 are all 26

Answer:

1. Ben

Let the number of days be x.

Let the total no. of shares be y

[tex]No.\ of\ shares\ on\ Day\ 0=2\\No.\ of\ shares\ on\ Day\ 1\ = 2*3\\No.\ of\ Shares\ on\ Day\ 2\ =\ 2*3*3\\No.\ of\ Shares\ on\ Day\ 3\ = 2*3*3*3\\No.\ of\ Shares\ on\ Day\ x\ =2*3^x\\As\ Total\ no.\ of\ shares\ = y\\y=2*3^x[/tex]

2. Carter

Let the no. of days be x

Let the total no. of shares be y

[tex]No.\ of\ shares\ on\ Day\ 0=10\\No.\ of\ shares\ on\ Day\ 1\ = 10*2\\No.\ of\ Shares\ on\ Day\ 2\ =\ 10*2*2\\No.\ of\ Shares\ on\ Day\ 3\ = 10*2*2*2\\No.\ of\ Shares\ on\ Day\ x\ =10*2^x\\f(y)=10*2^x[/tex]

Answer:

None of them but for the actual question on the picture it is x < -3

Step-by-step explanation:

Answer:

12?

Step-by-step explanation:

since this is a percent deal I would a simple trick

x/15 = 20/100

15 x 20 = 300

divide 300 by 100

that equals 3

15 - 3 = 12

Answer

12?

Step-by-step explanation:

since this is a percent deal I would a simple trick

x/15 = 20/100

15 x 20 = 300

divide 300 by 100

that equals 3

15 - 3 = 12

B. 7.2

Step-by-step explanation:

-15.5+7.2=(-8.7) and vice versa.

Answer:

1. 9

2. 8

3. 16

4. 20

5. 27

6. 6

7. 54

8. 70

9. 24

10. 20

11. 15

12. 42

13. 25

14. 44

15. 28

16. 66

17. 36

18. 60

19. 16

20. 9

21. 18

22. 30

23. 4

24. 9

25. <

26. >

27. <

28. =

29. >

30. =

31. >

32. <

Step-by-step explanation:

Math

Can i have brainliest?

Answer:

V(x)=(x+9) * (x-4) * (x+6)

Step-by-step explanation:

A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula

V = w * h * l

where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (x-4) * (x+6)

Answer: its a negative slope and its -4/3

Step-by-step explanation:

hope this helped you

Answer:

The correct option should have been [tex]6x=6[/tex].

Step-by-step explanation:

Given the expression

[tex]\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)[/tex]

solving the expression

[tex]\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)[/tex]

Remove parentheses:  (a) = a

[tex]2x+3y+4x-3y=11-5[/tex]

Group like terms

[tex]3y-3y+2x+4x=11-5[/tex]

Add similar elements

[tex]6x=6[/tex]

It is clear that not a single given option is [tex]6x=6[/tex]. It means no option is correct. It seems you mistyped the correct options.

The correct option should have been [tex]6x=6[/tex].

Answer: A is the answer

Step-by-step explanation: because nun of the other make sense

Answer:

18 units

Step-by-step explanation:

PQ= 7 units

QR = 6 units

RS = 5 units

its really not that hard..

Answer:

Step-by-step explanation:

Step one:

given

initial deposite= $500

10% of the venue is $500

let the cost of the venue be x

Required

cost of the venue

10/100*x=500

0.1x=500

divide both sides by 0.1

x=500/0.1

x=$5000

Therefore the cost of the venue is $5,000

Answer:

Step-by-step explanation:

60=x+45

x=15

Answer:

C

Step-by-step explanation:

When doing 4 divided by 2 you get 2. Looking at the sign it is saying 3 is greater than the number we solve for. Since we solved and got 2 we can double check and ask is 3 greater than 2? Yes it is so that would make the statement correct.

Hope this Helps :)

Answer:

linear

Step-by-step explanation:

as it has X2 +..... something in it

Are you wanting the absolute value of 3 if so it's just 3

Answer:

5 miles but she did walk part of another mile so that would be 5.35.

Step-by-step explanation:

you can take 3.25 and subtract that by 0.58 until you can't do it anymore. Also I didn't know if you wanted the exact amount which would be 5.35 but total miles is only 5. Hope this helps!