Given:
Consider the given function is:
To find:
The average rate of change of the function over the interval 
.
Solution:
The average rate of change of the function f(x) over the interval [a,b] is:
We have,
At 
,
At 
,
Now, the average rate of change of the function f(x) over the interval is:
Therefore, the average rate of change of the function f(x) over the interval is -3.
divide total pages by pages per minute
33 / 3 = 11 minutes
Answer:
$50
Step-by-step explanation:
Weekly paycheck to be deposited = 70%
This week's deposit = $35
Therefore, we have to determine how much is Alex weekly paycheck.
To find this, we have to use unitary method.
According to the Question
Total weekly paycheck = (total deposit/ percentage to be deposited)
Therefore, Weekly paycheck = ($35/70%)
Weekly paycheck = $50.
It means Alex gets $50 per week.
Answer:
See attachment
Step-by-step explanation:
Isolate y in the first inequality:
Now, with both x and y inequalities found, graph it.
Answer:
DB = CA (Proved)
Step-by-step explanation:
Statement 1.
∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2
Reason 1.
Given
Statement 2.
Between Δ DBM and Δ CAM,
(i) DM = CM,
(ii) ∠D = ∠C and
(iii) ∠DMB = ∠CMA
Reason 2.
(i) given
(ii) given and
(iii) ∠ DMB = ∠1 + ∠AMB and ∠CMA = ∠2 + ∠AMB
Since ∠1 = ∠2, so, ∠DMB = ∠CMA.
Statement 3.
Δ DBM ≅ Δ CAM
Reason 3.
By angle-side-angle rule.
Statement 4.
DB = CA
Reason 4.
Corresponding sides of two congruent triangles. (Answer)
