Answer:
When we have a function f(x) = y.
The rate of change between a and b (where a < b) is:
R = (f(b) - f(a))/(b - a)
In this case:
b = 3
a = 1
f(3) = 127
f(1) = 95
R = (127 - 95)/(3 - 1) = 16
The rate of change in that interval is 16.
Answer:
B
Step-by-step explanation:
The equation is:
y = 2x + 3
Put x as 2.
y = 2(2) + 3
y = 4 + 3
y = 7
Put x as 3.
y = 2(3) + 3
y = 6 + 3
y = 9
Put x as 4.
y = 2(4) + 3
y = 8 + 3
y = 11
Put x as 5.
y = 2(5) + 3
y = 10 + 3
y = 13
Answer:
625 ft^2
Step-by-step explanation:
Given
--- perimeter
Required
The largest area
The perimeter is calculated as:

So, we have:

Divide both sides by 2

Make L the subject

The area is calculated as:

Substitute 

Open bracket

Differentiate with respect to W

Set to 0; to get the maximum value of W

Collect like terms

Divide by -2

So, the maximum area is:




Answer:
73 packs
Step-by-step explanation:
Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.
290/4
= 72.5
Since we need a whole number answer, round this up:
72.5
= 73
So, Libby will need to buy 73 packs
Answer:
<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>
Step-by-step explanation:
Given that the area is 0.24 square meter
The area of a rectangle is given by
square units
Let x be the length and y be the width.
Since the area is 0.24 square meter, we have the equation:
, with x and y measures in meters
If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.
Now choosing some values for "x", we have:
Put x = 1

∴ y = 0.24
Now put x = 0.5 we get
∴ y = 0.48
Put x = 0.25
∴ y = 0.96
Put x = 2

∴ y = 0.12