The divisor of 0.004 is almost zero. What does this tell you about the quotient?

Mathematics

1 answer:

nasty-shy [4]3 years ago

3 0

Answer:

Its magnitude will be larger than 0.004.

Step-by-step explanation:

When a divisor is less than 1, the quotient will be greater than the dividend.

When the divisor is "almost zero", the quotient will be much greater than the dividend. Here, the dividend may be considered to be "almost zero", so we cannot say anything about the actual quotient except to say its magnitude will be greater than the dividend.

_____

The dividend is positive, so the quotient will have the same sign as the divisor. (Negative divisors can be "almost zero," too.)

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Of the 725 students at Franklin Middle School, 12/25 play a sport. How many students play a sport at Franklin Middle School?

Paladinen [302]

Answer:

348 out of 725

Step-by-step explanation:

This is a ratio question, giving us a sample that we can use to extend the number to all students.

12/25 students play a sport so we want the value of x in x/725

So:

12/25 = x/725

Cross-Multiply:

25x = 8700

Divide by 25 to get x:

348

You can also check by dividing these ratios to see if you get the same number. In this case, you do (.48).

8 0

3 years ago

A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$