Answer:
True
Step-by-step explanation:
If the coefficient is -1 then the variable will have a negative sign in front of it.
Example: (-x)
If the coefficient is 1 then the variable will stand alone.
Example: (x)
Answer:
$33
Step-by-step explanation:
c = price of cheese; s = price of sausage
3c + 3s = $36
s = c - 2
3c + 3(c - 2) = 36
2c - 2 = 12
c = $ 7
s = 7 - 2 = $ 5
Therefore, price of 4 lb of cheese and 1 lb of sausage is 4c + 1s = $28 + $5 = $33
4x=5x-3
+3 +3
4x+3=5x
-4x -4x
3=x
Answer:
The first one.
Step-by-step explanation:
The dots on the dot plot are mostly to the right.
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft
b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.
c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
