Answer:
9.5 inches per month
Step-by-step explanation:
Given the information about the depth of the pond:
Month 1: 93 in
Month 2: 98 in
Month 3: 112 in
From month 1 to month 3, the average rate of change of the depth of the pond, in inches per month can be calculated using formula
Hence, from month 1 to month 3, what is the average rate of change of the depth of the pond, in inches per month is
For this case we have the following expression:
From here, we must clear the value of a.
We then have the following steps:
Place the terms that depend on a on the same side of the equation:
Do common factor "a":
Clear the value of "a" by dividing the factor within the parenthesis:
Answer:
The clear expression for "a" is given by:
Answer:
(a) A = {... -23, -16, -9, -2, 5, 12, 19, 26, ....}
(b)
Solution:
For two integers x and y to be congruent, we know that:
If 't' divides y - x, we say that x is congruent to y modulo t, written x ≡ y mod t.
Now,
In roster form, we include each element in the representation of the set.
In set-builder form, we use mathematical notation and properties of the elements of the set.
Now,
As per the question;
(a) To represent all the integers congruent to 5 (mod 7) by roaster method of a set A (say):
where
such that
x ≡ 5 (mod 7)
Then
A = {... -23, -16, -9, -2, 5, 12, 19, 26, ....}
(b) In set builder form,