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3 years ago

Plz help with these.

Mathematics

1 answer:

kirill115 [55]3 years ago

6 0

Answer:

5. $a ( x + y^{2} + z )$

6. $2a ( x + y + z)$

7. $4 ( x +4y)$

8. $-5 ( x + y )$

9. $7a ( a + b)$

10. $-2 ( x + 2y + 3z)$

11. $bx ( a + y)$

12. $-x (x^{2} + x + 1)$

this took long but i hope the answers are correct :)

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The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh

Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is 300 times larger than the virus.

We know that:

The diameter of the virus-cell is:

$D_v = 3 \cdot 10^{-9} m$

The diameter of the bacteria cell is:

$D_b = 9 \cdot 10^{-7} m$

So, to compare them, first notice that both are in the same units, meters, so we only need to compare the numbers.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus the bacteria should be the larger one.

But let's prove this with math, remember the property:

$\frac{a^n}{a^m} = a^{n - m}$

Let's take the quotient between the diameters and see what we get, I will use the diameter of the bacteria in the numerator, thus if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.

$quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m} = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2$

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

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2 years ago

Which of the following rational functions is graphed below?

Illusion [34]

Answer:

A. $f(x) = \frac{x-1}{x\cdot (x-3)}$

Step-by-step explanation:

A rational-polynomic function is a function of the form:

$f(x) = \frac{p(x)}{q(x)}$ (1)

There are three important remarks on this kind of function:

1) $p(x) = 0$ when function passes through the x-axis.

2) If $q(x) = 0$ , then the function $f(x)$ has a vertical asymptote.

3) The horizontal asymptote is a linear function of the form $y = \lim_{x \to \pm \infty} f(x)$ .

In accordance with the graph, the function has two vertical asymptotes at $x = 0$ and $x = 3$ , numerator becomes zero for $x = 1$ and horizontal asymptote is $y = 0$ as grade of numerator is less than grade of denominator.