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3 years ago

10

There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expressi

on for the number of cookies that were left

1 answer:

Sever21 [200]3 years ago

6 0

Answer:

5

Step-by-step explanation:

xf

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Could anyone help me with this question? Thank you!

shutvik [7]

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

$\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}$

First, we can factor both the numerator and the denominator. This yields:

$\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}$

Cancel like terms:

$\displaystyle =\frac{(n^2-6)}{(n^2-2)}$

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

$(n^2-2)(n^2-5)=0$

Solve for n. By the zero product property:

$n^2-2=0\text{ and } n^2-5=0$

Therefore:

$n^2=2\text{ and } n^2=5$

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

$n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5$

Therefore, our fully simplified expression is:

$\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2$

Hence, our answer is C!

4 0

3 years ago

The highest point in California is Mount Whitney at 14,494 feet above sea level. The lowest point is the Death Valley at 282 fee

barxatty [35]

Okay so in order to figure this out you have to realize that height (distance) cannot be negative. So all you do is add 282 feet from the mountain and 282 from the valley to get 564ft in the difference of elevations

6 0

3 years ago

Read 2 more answers

What is the probability of rolling a five on the first die and a six on the second die?

marshall27 [118]

Answer: 1/6

Step-by-step explanation:

The probability of rolling 5 on the first die is the same as the probability of rolling a six on the second die. ie 1/6

3 0

4 years ago

169= (24/2)^2 +(d/2)^2

OlgaM077 [116]

Answer: d = ±10

<u>Step-by-step explanation:</u>

169 = $(\frac{24}{2})^{2}$ + $(\frac{d}{2})^{2}$

169 = (12)² + $\frac{d^{2}}{4}$

169 = 144 + $\frac{d^{2}}{4}$

25 = $\frac{d^{2}}{4}$

100 = d²

√100 = √d²

±10 = d

6 0

3 years ago

Rounded to the nearest thousandth the number 0.00006132 is___

jolli1 [7]

Answer:

to the right of the decimal is tenths > hundredths > thousandths so since at the thousands place the following number is 0 you round down so the answer is 0

Step-by-step explanation:

8 0

3 years ago