Sarah mixes ⅓ cup of sugar with ½ cup of cream cheese to make a topping for cupcakes. Sarah uses 3/12 cup of the mixture to top
2 answers:
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Answer:
$1025
Step-by-step explanation:
We can use the 2-point form of the equation of a line to write a function that gives Justin's salary as a function of his sales.
We start with (sales, salary) = (400, 500) and (700, 575)
__
The 2-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
salary = (575 -500)/(700 -400)(sales -400) +500
salary = 75/300(sales -400) +500
For sales of 2500, this will be ...
salary = (1/4)(2500 -400) +500 = (2100/4) +500 = 1025
Justin's salary after selling $2500 in merchandise is $1025.
Answer:
.
Step-by-step explanation:
Let denote a constant (a number, rather than a variable like
.)
Let denote an expression about
(for example,
By the factor theorem, if is a factor of
, then
. In other words, if all mentions of
in the expression
are replaced with
, then the expression should evaluate to zero.
is equivalent to
. That is:
.
Replace all mentions of in
by
to get:
.
That should evaluate to zero. Therefore: . Solve for
to get
.