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Alex17521 [72]
3 years ago
11

Help me!!

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

<u>ANSWER: </u>

x − intercept is (\frac{8}{3}, 0) , y − intercept is (0,8).

<u>SOLUTION: </u>

Given, linear equation is y = 3x – 8 --eqn (1)

We need to find x – intercept and y – intercept i.e. where the line meets x – axis and y – axis

Now, let us find x – intercept. So put y = 0 in eqn (1)

0 = 3x – 8

3x = 8

x = \frac{8}{3}

So, point where given line meets x – axis is (\frac{8}{3} ,0)

Now, let us find y – intercept. So put x = 0 in (1)

y = 3(0) – 8

y = 8

So, point where given line meets y – axis is (0,8).

Hence, x − intercept is (\frac{8}{3} ,0) , y − intercept is (0,8).

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\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]

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