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Artemon [7]
3 years ago
12

In two or more complete sentences, explain how to solve the cube root equation, .^3√x-1+2=0

Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

Answer:

x= -7

Step-by-step explanation:

We need to solve the following root equation:

\sqrt[3]{x-1} + 2 = 0

1. First, we need to add minus two to both sides of the equation:

\sqrt[3]{x-1}= -2

2. Elevate each side of the equation to the power of 3:

x-1= -8

3. Solve for 'x':

x= -8 + 1

x= -7

Therefore, the result is:

x= -7✔️

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Remember this:

Denominator multiplies with the whole number(number on the side) The sum of that plus the numerator will give you the value for the numerator in the improper fraction. The denominator will stay the same.
Now try it on your own!
12×2+7=numerator.
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A random sample of n = 16 professors from a university has been selected; salaries have been plotted on the following Q-Q plot.
Semenov [28]

Answer:

The objective of the confidence interval is to give a range in which the real mean of the population is placed, with a degree of confidence given by the level of significance.

The conclusion we can make is that there is 95% of probability that the mean of the population (professor's average salary) is within $99,881 and $171,172.

Step-by-step explanation:

This is a case in which, from a sample os size n=16, a confidence interval is constructed.

The objective of the confidence interval is to give a range in which the real mean of the population is placed, with a degree of confidence given by the level of significance. In this case, the probability that the real mean is within the interval is 95%.

5 0
3 years ago
What is the vertex of<br> f(x) = (x - 7)?
valina [46]
Answer: This equation does not have a vertex.

If the equation is not curved or composed of two straight lines it does not have a vertex.

If you need further explanation let me know. :)
3 0
3 years ago
What's the hypothesis of a triangle ?
Mariana [72]
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6 0
2 years ago
PLEASE HELP. ILL PICK BRAINIEST ANSWER
klasskru [66]

The graph shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet

Part A: What do the x-intercepts of the graph represent?

The x intercept means value of x when h(x)=0. That is, the x-intercept signify the distance from kicker when height h(x) =0. The x intercept is (0,0) and (16,0).

So, when the kicker is at a distance of 0 feet or 16 feet, height h(x)=0 feet.

What does maximum value of the graph represent?

The maximum value of the graph signify maximum height the soccer ball can achieve. The maximum height the graph has is at (8,10). That is, when kicker is at a distance of 8 feet from the ball, the ball attains a maximum height of 10 feet.

What are the intervals where the function is increasing and decreasing, and what do they represent about distance and height?

The increasing interval is (-∞,8]. That is, the height of the ball increases when kicker is increasing as the distance increases from -∞ to 8. But, the height keeps on decreasing from 8 to ∞. As, x, distance increases from 8, the height decreases, Hence, decreasing interval [8,∞)

Part B: What is an approximate average rate of change of the graph from x=8 to x=13, and what does this rate represent?

average rate of change=\frac{f(x2)-f(x1)}{x2-x1}

where x2=13 and x1=8. That is, the interval in which we are looking for average rate of change

f(x2)=f(13)=5

f(x1)=f(8)=10

average rate of change =\frac{5-10}{13-8}

=\frac{-5}{5}

=-1

average rate of change =-1.

This rate signify that height decreases by 1 feet as distance of the skipper increases by 1 feet (when distance, x is between 8 and 13)

7 0
3 years ago
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