A metalsmith is mixing two molten metals, each containing different percentages of silver. The table shows the amount of each mo
lten metal used. Which two expressions are both equivalent to t, the total number of grams of silver in the mixture?
A: (15)(0.75) and 0.7(15 – x) + 0.9x
B: (15)(0.75) and 0.7(15 – x)(0.9x)
C: 15 + 0.75 and 0.7(15 – x) + 0.9x
D: 15 + 0.75 and 0.7(15 – x)(0.9x)
A: (15)(0.75) and 0.7(15 – x) + 0.9x
B: (15)(0.75) and 0.7(15 – x)(0.9x)
C: 15 + 0.75 and 0.7(15 – x) + 0.9x
D: 15 + 0.75 and 0.7(15 – x)(0.9x)
2 answers:
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Answer:
The rule that represents the function is therefore the function is
Step-by-step explanation:
We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>
Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.
<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.
So <u>we propose the rule </u><u> which is correct for the first 3 values of x.</u>
Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as
Therefore, the rule is correct, and the function is
Each of the equations can be solved as shown below:
a.
(<em>addition property of equality</em>)
(<em>Subtraction property of equality</em>)
<em> (Division property of equality)</em>
<em />
b.
<em>Add like terms </em>
<em /> (<em>Subtraction property of equality</em>)
<em> (Subtraction property of equality)</em>
<em /><em> (Division property of equality)</em>
<em />
c.
d.
<em>The value of x in each </em><em>equation</em><em> are:</em>
<em />
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