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:
The point (0, 6.7) is the point where the ball was launched.
Step-by-step explanation:
The ball was launched from a point 6.7 feet from ground level.
In this scenario (ball tossed toward the goal), the constant c at the end of the function formula gives you the initial position (height).
Hi there!
Since ST is a tangent to the circle, we can use the relationship: tangent squared = external secant segment x entire secant segment.
WORK:
(I will be using x in place of ST)
x^2 = 7(23 + 7)
x^2 = 7(30)
x^2 = 210
x = squareroot(210) or approximately 14.5 inches
Hope this helps!! :)
