Answer:
Average rate of change = 2
Step-by-step explanation:
Find the average rate of change for f(x) = x^2 − 3x − 10 from x = −5 to x = 10.
f(-5) = (-5)^2 − 3(-5) − 10 = 25 + 15 - 10 = 30
f(10) = 10^2 − 3(10) − 10 = 100 - 30 - 10 = 60
Average rate of change:
f(10) - f(-5) 60 - 30 30
-------------------- = ------------------------------- = ----------------------- = 2
10 - (-5) 15 15
Answer:
She would receive 96 points
Step-by-step explanation:
The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.
Mathematically
Y= kt
Where k is constant of proportionality
If y= 72 and t= 3
72=k3
72/3= k
24= k
So
Y= 24t
If t= 4
Y= kt
Y= 24(4)
Y= 96
Y = 96 points
She would receive 96 points
Answer:
x=4
Step-by-step explanation:
Answer:
x=5 , y= -1
Step-by-step explanation:
You can see that one of the y's is negative while the other is positive, so you can add them together.
Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.
Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.
You can simplify that into x=5. This gives you the answer for x
Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.
Simplified, y= -1
Therefore, x= 5 and y=-1
Answer:
The third answer choice.
Step-by-step explanation:
The name of a plane is the letter in the corner.
