The total will be $19.72 with 20% so she will get back $30.28
Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0
As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81
Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2
So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2
A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.
3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.
So 2k^2 = 9 + 3k have two rational solutions (Option B).
Hope this Helps! :)
Answer:
41000 meters
Step-by-step explanation:
multiply the length value by 1000
Answer:
Divide both sides by 2
Step-by-step explanation:
We have the equation
2(x + 14) = 40
We divide both sides by 2
2(x + 14) = 40/2
x + 14 = 20
x = 20 - 14
x = 6
Therefore, the most helpful first step for solving Ravi's equation is: Divide both sides by 2
Answer:
Step-by-step explanation:
We are given the following in the question:
Volume of cake = 351 cubic inches
Let x inches be the width of cake.
Width of cake, w =
Then, length of cake,l =
Height of cake,h =
Volume of cake = Volume of cuboid
Putting values, we get:
Thus, dimensions of cake are:
