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2 years ago

3/8 is 4 & 3/5 % of what number? (Round to the nearest hundredth.)

Mathematics

1 answer:

Harman [31]2 years ago

4 0

Answer:

n = 8.15

Step-by-step explanation:

3/8 is 4 & 3/5 % of what number?

Rewrite this as: 3/8 is (4 3/5)% of what number?

Convert 4 3/5% into a decimal: 0.046

Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.

Dividing both sides by 0.046, we get n = 8.15

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3 years ago

What is the value of discontinuity of x^2+8x+4/x^2-x-6? Choices:

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Answer:

-2

Step-by-step explanation:

Hello,

First of all, let's check the denominator.

$x^2-x-6 \ \ \text{ *** How to factorise it ...? ***}\\\\\text{*** The product of the roots is -6=-2*3 and their sum is 1 ***}\\\\x^2-x-6=x^2-3x+2x-6=x(x-3)+2(x-3)=(x+2)(x-3)$

Now, let's see the numerator.

$x^2+8x+4 \ \text{ *** -2 is not a zero as ***}\\\\(-2)^2+8*(-2)+4=4-16+8=-4\\\\\text{*** 3 is not a zero as ***}\\\\3^2+8*3+4=9+24+4=37\\$

So we cannot factorise the numerator with (x+2) or (x-3)

Then, -2 and 3 are the the discontinuities of the expression.

There is only -2 in the list, this is the correct answer.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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