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2 years ago

Which monomials are factors of -21a^2?

2 answers:

8 0

There are many pairs you could do, but I'm going to choose this one:
$(-3a)(9a)$

You can multiply them together, and get (that's how you know if they are factors):
$(-3a)(9a) = -21a^2$

Hope this helped!

Neporo4naja [7]2 years ago

8 0

Answer:

the answer is 3a^2

Step-by-step explanation:

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John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper

Setler79 [48]

Answer:

$f(x)=\dfrac{9}{5}x+32$ converts Celsius to Fahrenheit.

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

$\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}$

Let the expression for the function be

$f(x)=ax+b$

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

$68=20a+b\\ \\86=30a+b$

Subtract these two equations:

$86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}$

Substitute it into the first equation:

$68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32$

So,

$f(x)=\dfrac{9}{5}x+32$

This is the function which converts Celsius to Fahrenheit.

And function

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

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A jewelry store marked up the price of its well-known necklace. The new price of the necklace is $250, which is 125% of the orig

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The original price was $312.5

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Melanie buys a carrying case for her new laptop, which costs 125% as much as her old laptop case. The price of her new laptop ca

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3 years ago

A quiz consists of 40 multiple choice questions, each with five possible answers, only one of which is correct. If a student g

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Answer:

8 and 2.529

Step-by-step explanation:

The computation of the mean and the standard deviation is shown below:

Given that

Total number of questions is n = 40

The Probability of correct answer is p = $\frac{1}{5}$

So, the probability of the wrong answer is q = $1 - \frac {1}{5}$ = $\frac{4}{5}$

Moreover, this is the binomial distribution

Based on the above information

The mean is

$= n \times p$

$= 40\times \frac{1}{5}$

= 8

Now the variance is

$= 40\times \frac{1}{5} \times \frac{4}{5}$

= $\frac{32}{5}$

So, the standard deviation is

$= \sqrt{\frac{32}{5} }$

= 2.529

hence, the mean and the standard deviation is 8 and 2.529 respectively

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2 years ago