Actually, the domain is the possible set of input values
of a function that will make the function fit the specific criteria. In this
case, the input value is m, where m is the number of miles that is travelled.
The criteria is to travel at least 10 miles but not more than 30 miles,
therefore the domain should be:
All real numbers from 10 to 30, inclusive
(should be real numbers not integer since any fractional
number is included in the domain)
I cannot figure out why the choices are far from the
answer.
Answer:
f(2) = -5
Step-by-step explanation:
A point (x, y) lying on a function represents output value (y-value) of the function for any input value (x-value).
In other words y = f(x) for any input value of 'x'.
From the graph attached,
For the input value x = 2,
Output value of the function is y = -5
Therefore, f(2) = -5 will be the answer.
Answer:

Step-by-step explanation:
Given that:
Difference of two trinomials is 
One of the two trinomials is 
To find:
The other trinomial = ?
Four options are:

Solution:
Let the two trinomials be A and B.
Given A - B = 
B = 
We have to find the other trinomial A.
A - B = 
A - (
) = 
A =
+ (
)
A = 
So, the correct answer is
.
Answer:
Step-by-step explanation:


Volume = 
find partial derivatives using product rule

i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3
3x + 7 = -x - 1
3x + 7 + = -1
4x + 7 = -1
4x = -1 - 7
4x = -8
x = -2
1 - 2x + 5 = 4x - 3
-2x + 6 = 4x - 3
6 = 4x - 3 + 2x
6 = 6x - 3
6 + 3 = 6x
9 = 6x
x = 6/9
x = 2/3
i helped you with the first two questions so you can see how you can solve it.
hope this helps, God bless!