Answer:
t = 2.61
Step-by-step explanation:
h (t) = (1/2) x (- 9.8) x t ^ 2 + 12 x t + 2
h (t) = -4.9 x t ^ 2 + 12 x t + 2 (rewritten)
When the ball hits the ground:
-4.9 x t ^ 2 + 12 x t + 2 = 0
Solved:
t1 = -0.16
t2 = 2.61
The negative is irrelevant here. Hence: 2.61.
Answer & Step-by-step explanation:
In this problem, we are given two functions.
<em>s(x) = 2x + 1</em>
<em>r(x) = -x² + 3x</em>
We are asked to find the difference between s(x) and r(x).
<em>(2x + 1) - (-x² + 3x)</em>
Distribute the negative to the second parentheses.
<em>2x + 1 + x² - 3x</em>
Combine like terms and put the equation in standard form. This means the exponents should be in descending order.
<em>x² - x + 1</em>
So, (s - r)(x) equals x² - x + 1
<em />
Answer:
39.43 for each dog
Step-by-step explanation:
<u>d = 2c (given) </u>
164 c + 23 d = 4140 sub in the above equation for d
164 c + 23<u> (2c)</u> = 4140
210c = 4140
c =19.71
d = 2c = 39.43