F(x) = -x^2 + 6x + 6
where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds
rate of change of a distance is speed
at x=5, distance = 11
at x=2, distance = 14
so average rate of change = (14-11)/(5-2) = 1
so ans is D
The first thing we must do for this case is find the number of total guitarists.
We have then:
We now look for the relationship between the number of guitarists playing jazz alone to the total number of guitarists.
We have then:
Where,
x: number of guitarists playing jazz alone
From here, we clear the value of x.
Then, the number of guitarists who play classical solo is:
Answer:
30 guitarists play classical solos in the contest
Answer:
Step-by-step explanation:
A straight line adds up to 180 degrees, therefore 3x+6x = 180
9x = 180
x = 20
A. Alright, we want to multiply one equation by a constant to make it cancel out with the second. Since the first equation has a "blank" y, let's multiply the first equation by <em>2</em>.
3x-y=0 → 2(3x-y=0) = 6x - 2y = 0
5x+2y=22
The answer for this part would be: 6x - 2y = 0 and 5x + 2y = 22
B. So now we combine them:
6x - 2y = 0
+ + +
5x + 2y = 22
= = =
11x + 0 = 22 ← The answer
C. Now that we have the equation 11x = 22, we solve for x
11x = 22 ← Divide both sides by 11
x = 2 ← The answer
D. Now that we have x=2, we plug that back in to 5x+2y=22 and solve for y:
5(2)+2y = 22
10 + 2y = 22
2y = 12
y = 6
<u>Therefore, the solution to this problem is x = 2 and y = 6</u>
