Answer:
I think it's either 10√3 or 10
Chris started with $70 in the savings account
What is the equation representing the scenario?
The equation representing the scenario painted in the question is: one half times x plus 15 equals 50
1/2*X+15=50
X/2+15=50
X/2=50-15
X/2=35
X=35*2
X=70
In short the amount Chris started with in the savings account is $70
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I am going to assume that x2 = x squared
So: X^2 + 3x -40
= (X+8)(X-5)=0
X+8 = 0
X= - 8
The other solution is X -5 = 0
X = 5
Therefore the solution set is {-8, 5}
Answer:
Average rate of change for the function 
over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is:
The formula used to find average rate of change is:
We have, a = -1 and b = 1
Finding f(b) when b=1
Now, finding f(a), when a= -1
Now, putting values and finding average rate of change
So, average rate of change for the function over the interval -1<x<1 is -1
Have you heard the expressions "shooting fish in a barrel" or
"taking candy from a baby" ?
I've decided to take your points and try not to feel guilty about it.
A). That's it ! That's the equation, for ANY basketball on Earth.
You wrote it right there in your question.
In that equation that you wrote, the ' r ' is the initial velocity.
You said that Adam tossed it straight up, and it was going 10 meters per second
when it left his hand.
So ' r ' in the equation is +10.
The equation is:
<em>d = 10t - 5t² </em> .
It tells you how high the ball is above its tossing height after any number of seconds.
The ' t ' in the equation is the number of seconds. Any letter could have been used,
but ' t ' was cleverly selected because it stands for 'time'.
B). You want to know where it is after 0.5 second ? All you have to do is put '0.5'
into the equation wherever there's a ' t '. Do you really need somebody to do that
for you ?
Well, OK. You're being so overly generous with your points . . .
Distance = 10 t - 5 t²
Distance = 10 (0.5) - 5 (0.5)²
Distance = 5 - 5(0.25)
Distance = 5 - 1.25
<em>Distance = 3.75 meters </em>
<u>positive</u> 3.75 means <u>above</u> Adam's hand.
A thinking exercise:
-- He tossed the ball upwards at 10 meters per second.
-- Why is it not 5 meters above his hands after 0.5 second?
