The quadratic model is given by:
y = ax2 + bx + c
We evaluate three points to find the values of a, b and c.
We have then:
For (0, 200):
200 = a (0) 2 + b (0) + c
c = 200
For (0.5, 195):
195 = a * (0.5) ^ 2 + b * (0.5) +200
195-200 = a * (0.5) ^ 2 + b * (0.5)
-5 = 0.25a + 0.5b
For (1, 185):
185 = a * (1) ^ 2 + b * (1) +200
185-200 = a * (1) ^ 2 + b * (1)
-15 = a + b
Solving the system:
-5 = 0.25a + 0.5b
-15 = a + b
We have the following results:
a = -10
b = -5
Substituting:
y = -10x ^ 2 - 5x + 200
For x = 3 we have:
y = -10 (3) ^ 2 - 5 (3) + 200
y = - 90 - 15 + 200
y = 95
Answer:
the height at 3 seconds is:
y = 95 feet
Answer:
this is written as 8.25 x 104 in scientific notation?
Step-by-step explanation:
Answer:
Here's a two step equation for example: 4.8y - 6.9 = 3.18
Step-by-step explanation:
How I solve it is using: Sadmep.
wth is that?
Well, it's pemdas backwards. You use this version for solving 2 step equations. But pemdas, not a two step equation.
But, how to solve it: Sadmep..S stands for subtraction...do I see it? Yes! So we are going to do inverse operations..what's the inverse of subtraction..Addition! So you are going to put an addition sign right under the subtraction, and put 6.9..now what you do to one side, you have to do to the other. So add 6.9 to 3.18. Now once you did that, you have to add, but you can't add the 6.9 and the 6.9, you have to cross it out, but you HAVE to hadd 3.18 and 6.9..so do that. So for right now your answer should be: 4.8y = 10.08...let's finish solving! Now since there are two unlike terms, when it comes down to literally this, you have to divide each side by the number with the variable. So: 4.8y divided by 4.8...and 10.08 divided by 4.8.. now remember what I said..4.8y divided by 4.8 are alike so you have to cross it out. But you HAVE to divide 10.08 by 4.8. And once you do that..:::: y = 2.1 ....see? easy and simple!
Answer:
At ; I = 3, P is at maximum
Step-by-step explanation:
P ( I ) = ![[ \frac{80 I}{I^2 + I + g } ]](https://tex.z-dn.net/?f=%5B%20%5Cfrac%7B80%20I%7D%7BI%5E2%20%2B%20I%20%2B%20g%20%7D%20%5D)
at I = 3
P" ( I ) < 0
therefore at I = 3 the value of P( I ) is at maximum
attached below is the detailed solution
Answer:
Step-by-step explanation:
b/c these are similar triangle we can say this ratio of the two triangles is true
15/x = 31/(44+x)
now just use algebra to solve for x
15*(44+x) = 31x
660+15x = 31x
660=16x
41.25 =x
41.3 looks good
