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1 year ago

Given g of x equals cube root of the quantity x plus 6, on what interval is the function negative?

Mathematics

1 answer:

nikdorinn [45]1 year ago

6 0

The interval for the function to be negative will be (-∞<x<-7).

<h3>What is a function?</h3>

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here we have a function:-

g(x) = ∛(x+6)

If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-

(-∞<x<-7).

Therefore interval for the function to be negative will be (-∞<x<-7).

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Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of μ = 14 hours per week spent studying by

Dmitry [639]

Answer:

We do not have enough evidence to accept H₀

Step-by-step explanation:

Normal Distribution

size sample = n = 64 (very small sample for evaluating population of 5 years

Standard deviation 4,8

1.- Test hypothesis

H₀ null hypothesis ⇒ μ₀ = 14 and

Hₐ alternative hypothesis ⇒ μ₀ ≠ 14

2.- z(c) we assume α = 0,05 as we are dealing with a two test tail we should consider α/2 = 0.025.

From z table we the z(c) value

z(c) = 1.96 and of course by symmetry z(c) = -1.96

3.- We proceed to compute z(s)

z(s) = [ ( μ - μ₀ ) /( σ/√n) ] ⇒ z(s) = - (1.5)*√64/4.8

z(s) = - 2.5

We compare z(s) and z(c)

z(s) < z(c) -2.5 < -1.96 meaning z(s) is in the rejection zone

we reject H₀ .

From the start we indicate sample size as to small for the experiment nonetheless we found that we dont have enough evidence to accept H₀

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2 years ago

Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting

Deffense [45]

Point F is on line a, so it does represent Josiah's distance at a certain time. Also, point F is below line b, so it represents a distance that is less than Chana's distance. This is a distance-time graph problem.

<h3>What is the proof for the above?</h3>

Recall that Josiah had a head start of 10 meters and he skates at 2 meters per second.

Since Y is the function that represents the distance in meters from the finished line, by observation, it is clear to see that all the factors that are related to his race are adequately represented in:

y = 10 + 2x

Where 10 is the head start in meters

2 is the rate at which he skates per second; and

x is the unknown amount of time in seconds.

Given that the point F sits over 25 seconds,

that is F(y) = 10 + 2 * 25

= 60 meters.

Hence, Point F is on line a, so it does represent Josiah's distance at exactly 25 seconds.

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2 years ago

7. Explain the difference between whole numbers and counting numbers.<br>(2 marks)<br>Your answer

Burka [1]

Counting numbers is like the numbers 1,2,3,4,5 and so on they were numbers you were probably taught to count to like to count through 1-10 or whatever. Counting numbers mean to count since they do have the word counting in them.

Whole number just means a number with no fraction or intger also 1 - infinity

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2 years ago

A stock price closed at the same price, 541.45, on the first day and last day of a

Irina-Kira [14]

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3 years ago

Find f ′(x) for f(x) = sin (3x2).

Ne4ueva [31]

Answer:

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Step-by-step explanation:

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For f(x) = sin(3x^2), this means ...

f'(x) = cos(3x^2)(6x)

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3 years ago