Answer:
39.0625 ft
Step-by-step explanation:
Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.
The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50
To find the x coordinate of the vertex, use x = -b/(2a)
We have x = -50/[2(-16)]
x = -50/-32
x= 25/16
Now plug that into the equation to find the y value, which will be the height...
y = 50(25/16) - 16(25/16)²
y = 1250/16 - 16(625/256)
y = 1250/16 - 625/16
y = 625/16
y = 39.0625
PART A
s = <span>the number of packets of strawberry wafers ;
c = </span><span>the number of packets of chocolate wafers ;
3 </span>× s + 1 × <span>c = 30 ;
s + c = 22 ;
PART B
</span>The method of solving "by substitution"<span> works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
</span>
c = 30 - 3s;
s + ( 30 - 3s ) = 22;
30 - 2s = 22;
30 - 22 = 2s;
8 = 2s;
s = 4 ;
c = 30 - 12 ;
c = 18 ;
Answer:
(1, 6)
(7, 0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0 = -0.5x² + 4x - 3.5
0 = x² - 8x + 7
0 = (x - 7)(x - 1)
x - 7 = 0 or x - 1 = 0
x = 1 or 7
Answer:
C
Step-by-step explanation:
The table shows that Sara earns 4 dollars per hour. The equation shows that Abbey earns 5 dollars per hour.
I hope that helps. If there are any questions left, just comment:)
Please mark me brainliest (it gets you 10 points back btw)
