Answer:

Step-by-step explanation:
Given

Required
The difference quotient for h
The difference quotient is calculated as:

Calculate f(x + h)



The numerator of
is:


Collect like terms


So, we have:

Rewrite as:


Answer: 52.5 units squared
Step-by-step explanation:
The formula to find the area of a trapezoid is, (base1 + base2)/2 * height
So you find out which variable is which
Base 1 = 4
Base 2 = 3
Height = 15
Then plug it into the formula,
(4+3)/2 * 15
Then solve the order of operations
7/2 * 15
3.5 * 15
52.5 is the answer
Let x = hats she knitted
Less than means to subtract and it’s an order switcher so it would be
2x - 6 = 78
First step: Add six to both sides -6 + 6 = 0 6 + 78 = 84
2x - 6 = 78
+ 6. +6
2x = 84
Second step: Divide the coefficient on both sides, two is the coefficient
2x/2 = x
2/84 = 42
Therefore, the answer is x= 42
Answer:
50
Step-by-step explanation:
all angles must equal to 180
Answer:
B 137.32 cm³
Step-by-step explanation:
The original volume is
V = pi r^2 h
V = pi (3)^2 ( 12)
V =108 pi cm^2 = 339.12
the diameter increases by 1.12 6*1.12 = 6.72
r = 6.72 /2 =3.36
The height will increase by 1.12 so 12*1.12
V = pi ( 3.36)^2 ( 13.44)=476.4391834
The difference is
476.4391834 - 339.12 = 137.3191834
To the nearest hundredth
137.32