<h3>Answer:
</h3>
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Explanation:
The instructions don't mention it, but I'm assuming that the height of 4 feet is the max height the of the ball.
If so, then this is the vertex of the parabola.
The ball is on the ground when x = 0 and x = 10. The x coordinate of the vertex is the midpoint of those two roots. So it's at x = 5.
Overall, the vertex is (h,k) = (5,4)
The equation
y = a(x-h)^2 + k
becomes
y = a(x-5)^2 + 4
Next, we plug in the root (x,y) = (10,0) since the ball hits the ground when x = 10. Let's solve for 'a'
y = a(x-5)^2 + 4
0 = a(10-5)^2 + 4
0 = 25a + 4
25a = -4
a = -4/25
We could have used (x,y) = (0,0) and we'd end up with the same 'a' value.
Therefore, the height function is
Step-by-step explanation:
4. y=-6/3x+3 (if you can simplify put y=-2x+3)
5. y=5/2x+1
6. y=-8/2x -5 (if you can simplify put y=-4x-5)
7. y=-6/6x+2 (if you can simplify put y=-x+2)
8. y=4/6x-4 (if you can simplify put y=2/3x-4)
9. y=6/5x+0
hope this helped!!!
The answer is 170 minutes or 68/24 hours so, common denominator is 1/24 hours.
1) 1+3/4+2/3+1/4+1/6=(24+18+16+6+4)/24 so it is 68/24 and times 60 it will be 170.
Answer:
target flea collar
Step-by-step explanation:
it says target collar is .05/ hour
hours in day=24
0.05 x 24
=1.2
1.2 is greater than 0.4
Formula of the parabola: (x - h)²<span> = 4p(y - k)
(h,k) is a vertex, </span>(1,-9) is a vertex.
<span>h=1, k= - 9
Substitute h and k into formula </span>(x - h)² = 4p(y - k)
(x - 1)² = 4p(y + 9)
Substitute x and y of the y-intercept
(x - 1)² = 4p(y + 9), x=0,y=-6.
(0 - 1)² = 4p(-6 + 9)
1 = 4p*3
1/3 = 4p, substitute value of 4p into (x - 1)² = 4p(y + 9).
(x - 1)² = 1/3(y + 9)
x²-2x+1=(1/3)y + 3
(1/3)y = x²-2x-2
y = 3x² - 6x -6
x-intercepts, is values of x when y=0.
3x² - 6x -6 = 0
x²-2x-2=0
We will find values of x using formula.