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3 years ago

Two numbers are in the ratio 7:5 and their difference is 22.Find the numbers

Mathematics

1 answer:

omeli [17]3 years ago

4 0

Answer:

Let x and y be the two numbers. Then

yx=57 and x−y=20

Cross multiplying the proportion

5x=7y or y=75x

So, x−y=20

x−75x=20⇒77x−5x=72x=20

⇒x=2140=70

y=75x=75×70=50

So smaller number is 50.

Check :yx=5070=57 and 70−50=20

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Which graph represents the function of f(x) 9x^2 -36 / 3x + 6

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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}-36}{3x+6}$

Remember that the denominator cannot be equal to zero

The value of x cannot be equal to x=-2

<em>Simplify the numerator</em>

$9x^{2}-36=(3x+6)(3x-6)$ ----> by difference of squares

substitute

$f(x)=\frac{(3x+6)(3x-6)}{3x+6}$

simplify

$f(x)=3x-6$

The domain is all real numbers except the value of x=-2

The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)

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The graph in the attached figure

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3 years ago

Two numbers are in the ratio 7:5 and their difference is 22.Find the numbers​

Two numbers are in the ratio 7:5 and their difference is 22.Find the numbers