( x - 7 )/ ( x - 2 ) = 5/4 , Therefore x = -------------

Mathematics

1 answer:

skad [1K]3 years ago

4 0

Answer:

x = -18

Explanation:

To solve this problem easily, we can cross multiply. You would multiply the numerator of the first fraction by the denominator of the second, and multiply the numerator of the second fraction by the denominator of the first. In this case, (x-7) would be multiplied by 4 and 5 would be multiplied by (x-2). The answers from these two calculations would each be one side of the equation.

After doing this, you can solve and isolate x.

Work is shown in the attached picture.

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Janice is 7 years older than Tam. Complete the table, and then graph this situation.

qwelly [4]

Answer:

The table in the exercise can be completed with the next results:

x y
2 9
4 11
6 13
8 15

Step-by-step explanation:

As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:

y = x + 7

Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:

When x is 2:

y = 2 + 7
y = 9

When x is 4:

y = 4 + 7
y = 11

When x is 6:

y = 6 + 7
y = 13

When x is 8:

y = 8 + 7
y = 15

At last, to obtain the graph you can use the formula made: y = x + 7, and you'll obtain a graph like the attached picture, where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7.