How many and what type of solutions?(1.) 2k^2 = 9 + 3k

no real solutions


one real solution


two rational solutions


two irrational solutions

Answers

Answer 1
Answer: Hello,

2k²-3k-9=0
==>k=3 or k=-3/2

Answer C two rational solutions.

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A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1,000 more than the daughter. How much did each receive?If x is the amount the wife received, then which of the following expressions represents the amount received by the son? A. x/2 + 1000 B. x + 1000 C. 2x + 1000
-2(a-8)+6a=36 what's the value of a A=
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Skylar has a smart phone data plan that costs $50 per month that includes 7 GB of data, but will charge an extra $30 per GB over the included amount. How much would Skylar have to pay in a month where she used 5 GB over the limit? How much would Skylar have to pay in a month where she used went over by

Find the value of x RT=4x+10 SW= 5x-20

Answers

Well, as you can see from the rectangle RT and SW should have equal lengths. So to find the value of x, we need to do.....

4x + 10 = 5x - 20
-x + 10 = -20              (Subtraction property of equality)
-x = -30                      (Subtraction property of equality)
x = 30                        (Division property of equality)

To check our work:

4(30)+10 = 130
5(30)-20 = 130

So, the value of x is 30!


Express the product in simplest form 8/2x+8 * x^2-16/4

Answers

From  formula a^2-b^2 = (a-b)(a+b) :
x^2 - 16 = (x-4)(x+4)

In 2x+8 factor out "2", you'll  reach  2(x+4).  So:

(8)/(2x+8) \cdot (x^2-16)/(4)=(8(x-4)(x+4))/(2(x+4) \cdot 4)= (8(x+4)(x-4))/(8(x+4))= \boxed{x-4}

(In finish  you delete 8(x+4) from nominator and denominator)

when the whole is the same,how many eights does it take to make 1 fourth? draw a model to support your answer

Answers

2/8. 2/8 can be simplified to 1/4 if you divide by 2 in both the numerator and the denominator. Draw two pies. Make one pie cut into 8 even pieces and one cut into 4. Shade in two of the slices on the pie with 8 pieces (side by side) and shade in one on the pie that's cut into four slices (in the same spot as on the other pie). You should see how you shaded the same total area of each pie.

If there is an 80% chance of rain and a 30% chance of wind and rain, what is the probability that it is windy, given that it is rainy? Round your answer to the nearest percent.

Answers

We suppose the total chance is 100%. So the chance of wind and rain accounts for 30%. Then it is given rainy. So the total chance will change to 80% and the chance of wind and rain remains constant. Then you can get the answer should be 30%/80%=37.5%≈38%.

Answer:38

Step-by-step explanation:

Xander collected four times as many stamps as his cousin.If xander collected 60 stamps,then how many did his cousin collect What is the variable and the Equation

Answers

Answer:the number of stamps that his cousin collected is 20. The variable is x which represents number of stamps. The equation is

4x = 60

Step-by-step explanation:

Let x represent the number of stamps that his cousin collected.

Xander collected four times as many stamps as his cousin. This means that the number of stamps that Xander collected is 4x

If xander collected 60 stamps, then it means that

4x = 60

x = 60/4 = 20 stamps

Simplify:5a+6a^2+2a^0-3a^2-9a

3a^2-4a+2

-a^3+2

-a^2+2

3a^2-4a+1

Answers

Answer:

I believe that the answer is '3a^2-4a+2