7. You are saving $12 per week to purchase a new kayak. Prices start at $300 and
go up. Your parents give you $144 to help you purchase your kayak. Write and
solve an inequality to find the number of weeks you need to save to purchase the
kayak.
Your answer


Please help will mark brainliest!

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:

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 :)

B. 7.2

Step-by-step explanation:

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

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

Step-by-step explanation:

hope this helped you

Answer:

2, 5, 6 are all 154

1, 3, 4, and 7 are all 26

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:

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:

Step-by-step explanation:

Step one:

given

All Charges

$15 for delivery

and $2.75 per flower

let the number of flowers delivered be x

and the total charges for x flowers be y

the linear function for the total charges is

y=2.75x+15

Step two:

when y=$50

50=2.75x+15

50-15=2.75x

35=2.75x

divide both sides by 2.75

x=35/2.75

x=12.72

Note: we are not given the options. We only solved for the flower arrangements

Therefore the number of flowers in the arrangement Marcus ordered

is 12.72 flowers

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:

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!

Answer:

{7,9,10}

Step-by-step explanation:

(A U B) ∩ (A ∩ B)

(A U B): {1,3,7,9,10} U {2,5,7,8,9,10}​ = {1,2,3,5,7,8,9,10}

(A ∩ B): {1,3,7,9,10} ∩ {2,5,7,8,9,10}​ = {7,9,10}

(A U B) ∩ (A ∩ B): {1,2,3,5,7,8,9,10} ∩ {7,9,10} = {7,9,10}

Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

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:

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

Answer:

linear

Step-by-step explanation:

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

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

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

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:

18 units

Step-by-step explanation:

PQ= 7 units

QR = 6 units

RS = 5 units

its really not that hard..

Answer:

dufenschmertz evil incorporated...

Step-by-step explanation:

after hours ;)

oh ma goawd he on x gaems mode

Answer:

Here is the answer 160 miles

Step-by-step explanation:

If you want more explanation you just do 32x5=160 or if its back and forth it would be 32x10=320

Answer:

The value of a5 is 3125

Step-by-step explanation:

Recursive Sequence

It refers to the sequences where each term is given as a rule that depends on one or more of the previous terms, unlike explicit sequences where a general term is given and we can calculate any term without knowing the value of the previous terms, except for the first one.

The sequence is given as:

[tex]a_1=5[/tex]

[tex]a_n=-5a_{n-1}[/tex]

To find the value of a5, we need to find the previous terms first:

[tex]a_2=-5a_{1}=-5*5=-25[/tex]

[tex]a_3=-5a_{2}=-5*(-25)=125[/tex]

[tex]a_4=-5a_{3}=-5*125=-625[/tex]

[tex]a_5=-5a_{4}=-5*(-625)=3125[/tex]

The value of a5 is 3125