Answer:
m=2/3.
Step-by-step explanation:
the equation for slope is y=mx+b, where m is slope. So, 2/3 is your slope.
Answer:
a) The volume of the box is represented by
.
b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.
Step-by-step explanation:
a) The volume of the box (
), in cubic inches, is modelled by the equation for the cuboid:
(1)
Where
is the side length of the cutted square corners, in inches.


The volume of the box is represented by
.
b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.
Answer: 5t = 400-105
Step-by-step explanation:
Let t= Number of three–pointers Marissa has to average over the next 5 days to reach her goal. .
Goal = 400 three–pointers every week.
Marissa has already shot = 105 three–pointers
Remaining shots to achieve target (5t) = Goal - (Marissa has already shot)
i.e. 5t = 400-105 (required equation)
⇒ 5t = 295
⇒ t = 59
hence, she need to make 59 shots per day for next 5 days.