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3 years ago

What is the equation of the function graphed below?

Mathematics

1 answer:

Andreas93 [3]3 years ago

5 0

Answer:

Step-by-step explanation:

sorry if the answer is wrong

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What is 8x to the power 3 over 6x to the power 5

bulgar [2K]

In this question, you're simplifying the "fraction".

Simplify:

8x² / 6x^5

First, simplify the 8 and the 6 by dividing by 2

4x² / 3x^5

Now simplify the exponents:

The exponents is equivalent to: x² - x^5

x² - x^5 = -x²

Since it's a negative, it would stay in the bottom of the fraction, or the denominator.

4 / 3x²

Answer:

4 / 3x²

3 0

3 years ago

Given g(x) = −3x + 4

Goshia [24]

Answer:

The average rate of change of g from x = a to x = a + h is -3.

Step-by-step explanation:

We are given the function:

$g(x) = -3x + 4$

And we want to determine its average rate of change of the function for x = a and x = a + h.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

$\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}$

Simplify:

$\displaystyle \begin{aligned} \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}$

In conclusion, the average rate of change of g from x = a to x = a + h is -3.

This is the expected result, as function g is linear, so its rate of change would be constant.

3 0

3 years ago

Lots of 40 components each are deemed unacceptable if they contain 3 or more defectives. The procedure for sampling a lot is to

MrRissso [65]

Answer:

The probability of founding exactly one defective item in the sample is P=0.275.

The mean and variance of defective components in the sample are:

$\mu=0.375\\\\\sigma^2=0.347$

Step-by-step explanation:

In the case we have a lot with 3 defectives components, the proportion of defectives is:

$p=3/40=0.075$

a) The number of defectives components in the 5-components sample will follow a binomial distribution B(5,0.075).

The probability of having one defective in the sample is:

$P(k=5)=\binom{5}{1}p^1(1-p)^4=5*0.075*0.925^4=0.275$

b) The mean and variance of defective components in the sample is:

$\mu=np=5*0.075=0.375\\\\\sigma^2=npq=5*0.075*0.925=0.347$

The Chebyschev's inequality established:

$P(|X-\mu|\geq k\sigma)\leq \frac{1}{k^2}$

6 0

3 years ago

What is mode median and range

nalin [4]

The median is the middle number, the range is the difference between the lowest and highest values(subtract the lowest number from the highest number) and the mode is the number that appears most often in a set of numbers
Hope this helps

7 0

3 years ago

Read 2 more answers

NEED THIS ASAP GUYS PLEASE DONT HAVE ME WRONG

Murrr4er [49]

Answer:

its 12

Step-by-step explanation:

LCM of 3,4 and 6 is 12

3 0

3 years ago