A sum of $360 is shared among three people in the ratio 2:3:7. Calculate the largest and smallest shares.
1 answer:
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The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)
<em><u>Solution:</u></em>
Given that, we have to factor the given expression
<em><u>Given expression is:</u></em>
48m + 42n
The equivalent expressions can be found by factoring out the common factors of 48 and 42
<em><u>Let us first find the factors of 48 and 42</u></em>
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Thus the common factors are: 1, 2, 3, 6
Let us factor out 2 from given expression
Now factor out 3 from given expression
Now factor out 6 from given expression
Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)
Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function , and then transform it into the function:
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)