Answer:
In this problem it gives you the equation you need to solve it.
Y=10x+190
The question asks for the number of calories if the snack has 35 grams of fat. The grams of fat is the independent variable so it is going to be x. So just substitute the x in the equation with 35.
Y=10×35+190
Y=350+190
Y= 540
So for a snack that has 35 grams of fat, it would have 540 calories.
Answer:
The solution of this system is
(4). (6.0,5.4)
Step-by-step explanation:
First we have to find the equation of the line represented in the table; for that we have to find it's slope
and it's y-intercept
and then write it in the following form:

The slope
of the line we get from first two points:

thus we have

we find
by putting the point
into the function:


Thus we have

Now we have to find where this line intersects with
; to do this we just substitute
with
:



<em>We have the x-coordinate of the intersection.</em>
We find the y-coordinate by substituting
into
:


Thus the solution to the system is

which is option 4.
Answer:
y=-3, x=3
Step-by-step explanation:
step by step in picture
everything you asked for is in the picture
Answer:
m = -10 + 5p
Step-by-step explanation:
5p − m = 10
subtract 5p from both sides:
5p − m - 5p = 10 - 5p
simplifiy:
-m = 10 - 5p
divide -1 to both sides
m = -10 + 5p
m = -10 + 5p
===========
As the comments state, the velocity is the derivative of the position.
Therefore, the velocity as function of time is:
ds / dt = 24 + 6t - 3t^2.
That is a parabola whose maximum is (1,27). With that you know that the velocity will never be either 63 m/s or 81 m/s.
Also, you know that the velocity at t = 1 s is 27 m/s.
And, you can also find that the velocity at t = 3 is 15 m/s.
I am confident on that this analysis solves your question. Else, insert a comment.