____ was planning a birthday party. He/she is planning on inviting 14 people to the party. Each person will be given a goodie-bag at the end of the party. ____ decided that he/she will put 19 gummy worms into each bag. how many gummy worms will ____ need?
The answer to this problem is 266 because 14x19= 266.
the person needs 266 gummy worms if they want to put 19 into each person's goodie-bag
Hello from MrBillDoesMath!
Answer:
Positive x-intercept = + sqrt(3)
Negative x-intercept = - sqrt(3)
Discussion:
Generally, the x-intercept of a function g(x) occurs where g(x) = 0. In our case this is
g(x) = 0 =>
3x^2 - 9 = 0 => (add 9 to both sides of the equation)
3 x^2 = 9 => (divide both sides by 3)
x^2 = 9/3 = 3 =>
x = +\- sqrt (3)
Positive x-intercept = + sqrt(3)
Negative x-intercept = - sqrt(3)
Thank you,
MrB
Answer:
x = 18
m∠HCB = 36
Step-by-step explanation:
The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:
8x + 2x = 180
10x = 180
Divide both sides of the equation by 10 to isolate the x:
10x/10 = 180/10
x = 18
Now that we know the value of x, we can find the measure of angle HCB:
2x
2(18)
36
The measure of angle HCB is 36.
I hope this helps :)
Answer:
Step-by-step explanation:
The given differential equation is 
The characteristics equation is given by
Finding the values of r
We got a repeated roots. Hence, the solution of the differential equation is given by
On differentiating, we get
Apply the initial condition y (0)= 3 in equation (i)
Now, apply the initial condition y' (0)= 13 in equation (ii)
Therefore, the solution of the differential equation is
