Part
A:
<span>In
the expression given, 65 + 15w + 25m: 65 =
constant; 15 and 25 = coefficients; w and m = variables.</span>
Thus,
to define:
Constant
is a number which the value is already fixed.
Variable
is the unknown value in the algebraic expression.
Coefficient
is a number which is placed before a variable that indicates how many times the
variable is to be multiplied.
65 + 15w + 25m
65 = 15 (1) + 25 (2)
Part
B:
Let
x be the savings account balance
W
= # of weeks
M
= frequency of mowing the lawn
First,
let’s use the expression given above: 15w + 25m.
Since we are solving for a
constant, only the variables and coefficient of the expression given are to be
used.
Then,
we substitute the variables’ corresponding values.
X
= 15 (20) + 25 (3)
Therefore,
the savings deposits will amount to:
X
= 300 + 75
X
= $375
Part
C:
$75
+ w + 3m
Constant
will be $75.
Variables:
w = no weekly deposit, m = 3
Coefficients:
w = 1, m = remains at 25
This is because we need to adjust the variables and coefficients to solve for the constant.
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
Let us solve the question
∵ f(x) = x + 4 if x < 5 ⇒ First part
→ That means if x less then 5 we will use this part of f(x)
∵ f(x) = 8 if 5 ≤ x < 7 ⇒ Second part
→ That means if x = 5 or greater than 5 and less than 7, we will use
this part of f(x)
∵ f(x) = 2x - 1 if 7 ≤ x ≤ 10 ⇒ Third part
→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,
we will use this part of f(x)
a. The value of f(0)
∵ x = 0
∵ 0 < 5
→ That means we will use the first part of f(x)
∵ f(x) = x + 4
∴ f(0) = 0 + 4
∴ f(0) = 4
b. The value of f(6)
∵ x = 6
∵ 6 is between 5 and 7
→ That means we will use the second part of f(x)
∵ f(x) = 8
→ It means the value of f(x) is 8 for any values of x from 5 to less than 7
∴ f(6) = 8
14/3 simplified is 4 and 2/3 because 3 goes into 14 a total of 4 times with remainder 2. Therefore, 14/3 simplified is 4 and 2/3 or 4 2/3.