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3 years ago

Simplify 5x(x-6)-3x(x+4)-9.

Mathematics

2 answers:

Finger [1]3 years ago

8 0

Answer:

$2x^{2}$ - 42x - 9

Step-by-step explanation:

Irina18 [472]3 years ago

7 0

Answer:

2x²-42x-9

Step-by-step explanation:

5x²-30x-3x²-12x-9

2x²-42x-9

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How fast was the container being filled?

alex41 [277]

Answer:

Between the 10- and 20- second marks

Step-by-step explanation:

in the first half of filling the container it started at 0- 10 and the points goes further to 30 which is 10 plus 20 equals to 30, which is between the 10- and 20- second marks.

4 0

3 years ago

When you multiply 2/3 by a fraction less than one, how does the product compare to the factors? Explain

skad [1K]

Hello from MrBillDoesMath!

Answer:

Not so simple. See discussion below

Discussion:

Consider these two examples:

0<= f < = 1, then (2/3) * f < (2/3) * 1 = 2/3

so the product is less than either of the factors

f = -5, then (2/3)* (-5/1) = -10/3

so the product is actually larger than the factor -5 !

In other words, the general answer depends upon the sign as well as value of the fraction. The problem probably meant that multiplying a positive fraction by a number less than 1 and >= 0 makes the product smaller. But as your see from the above examples, a more fine grained analysis is required for a full answer.

Thank you,

MrB

6 0

3 years ago

___________ Qualitative Inferential Descriptive Quantitative statistics consists of organizing and summarizing information coll

Alika [10]

Answer:

<u>Descriptive</u> statistics consists of organizing and summarizing information collected, while <u>inferential</u> statistics use methods that generalize results obtained from a sample to the population and measure the reliability of the results.

Step-by-step explanation:

By definition, descriptive statistics summarize a given data set using measures of central tendency and measures of variability.

Measures of central tendency include:

mean.
median.
mode.

Measures of variability include:

standard deviation.
variance.
the minimum and maximum variables.

By definition, inferential statistics are used to make generalizations about a population from data samples.

For example, you might ask a sample of 100 people if they like shopping. You could make a bar chart of yes or no answers (descriptive statistics) or you could use your research and then, reason which is the percentage of the population that likes shopping (inferential statistics).

4 0

4 years ago

I don’t know how to solve this

Lady_Fox [76]

Answer:

$\theta =2\pi k,\ \ k\in Z\ \\\text{or}\ \\\theta=-\dfrac{2\pi}{3}+2\pi k,\ \ k\in Z$

Step-by-step explanation:

Given:

$\cos \theta-\sqrt{3}\sin \theta=1$

Divide this equation by 2:

$\dfrac{1}{2}\cos \theta-\dfrac{\sqrt{3}}{2}\sin \theta=\dfrac{1}{2}$

Note that

$\cos \dfrac{\pi }{3}=\dfrac{1}{2}\\ \\\sin \dfrac{\pi }{3}=\dfrac{\sqrt{3}}{2}$

So, the previous equation is

$\cos \dfrac{\pi}{3}\cdot \cos \theta-\sin \dfrac{\pi}{3}\cdot \sin \theta=\dfrac{1}{2}$

Remind that

$\cos x\cos y-\sin x\sin y=\cos (x+y),$

then

$\cos \left(\dfrac{\pi}{3}+\theta\right)=\dfrac{1}{2}$

The solution of this equation is

$\dfrac{\pi}{3}+\theta=\pm \arccos \dfrac{1}{2}+2\pi k,\ \ k\in Z\\ \\\dfrac{\pi}{3}+\theta=\pm \dfrac{\pi}{3}+2\pi k,\ \ k\in Z\\ \\\theta =2\pi k,\ \ k\in Z\ \text{or}\ \theta=-\dfrac{2\pi}{3}+2\pi k,\ \ k\in Z$

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3 years ago

So desperate. Last question on my HW and I can't do it.

vladimir2022 [97]

Will you please either write the question or upload a picture of it so we can help you with it?

7 0

3 years ago