Are 1/2-(-2+3/4) and (2-3/4)+1/2 equivalent to eachother?
1 answer:
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The graph is attached and all the sub parts have been answered.
<h3>What is a function ?</h3>A function is away of relating a dependent variable to an independent variable .
It is given that
Current weight of Rex at 2 months =6 pounds
Let x represents the age in months of Rex
then a linear model that represents the Rex’s current weight, in pounds, as a function of his age, in months. is
Let y be the current weight of Rex
then
y = 6 + 9(x -2)
The table that represents Rex’s current weight, in pounds, as a function of his age, in months
2 6
3 15
4 24
5 33
6 42
7 51
8 59
The graph is plotted for the given data and attached .
If Rex continues to grow at the rate of 9 pounds per month beyond the expected six months, how much will Rex weight by the time he is one year old
6 + 9*(12-2)
96 pounds.
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The company bought 9 computers and 6 printers
<em><u>Solution:</u></em>
Let "x" be the number of computers bought
Let "y" be the number of printers bought
cost of 1 computer = $ 585
cost of 1 printer = $ 385
<em><u>The company buys a total of 15 machines</u></em>
Therefore, we can frame a equation as:
number of computers bought + number of printers bought = 15
x + y = 15 ------ eqn 1
<em><u>The company spends $7,575</u></em>
Therefore, we can frame a equation as:
number of computers bought x cost of 1 computer + number of printers bought x cost of 1 printer = 7575
585x + 385y = 7575 ------ eqn 1
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
x = 15 - y --------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
585(15 - y) + 385y = 7575
8775 - 585y + 385y = 7575
-200y = 7575 - 8775
-200y = -1200
y = 6
<em><u>Substitute y = 6 in eqn 3</u></em>
x = 15 - 6
x = 9
Thus the company bought 9 computers and 6 printers