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2 years ago

Which of the functions below could have created this graph ?

Mathematics

2 answers:

ratelena [41]2 years ago

4 0

Answer:

Step-by-step explanation:

There is parabola on the graph, so the function might be quadratic or 4th power. We have no numbers on axises, then let's analyze the answers:

(A) The graph is no parabola for this function.

(B) The parabola for " - x² " is opened downward.

(D) This one option is the answer. The y-intercept is (-2)

romanna [79]2 years ago

3 0

C is the correct answer

You might be interested in

Given that g(x)=x^2 find each of the following

lubasha [3.4K]

What are the following?

5 0

3 years ago

Find the x-intercept and

svetlana [45]

9514 1404 393

Answer:

x-intercept: (16, 0)

y-intercept: (0, 8)

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable of interest.

I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.

x-intercept

y = 0, so we have 4x = 64 ⇒ x = 64/4 = 16

x-intercept is (16, 0)

y-intercept

x = 0, so we have 8y = 64 ⇒ y = 64/8 = 8

y-intercept is (0, 8)

_____

Additional comment

There is a form of the linear equation called the "intercept form" that looks like this:

x/a +y/b = 1

where 'a' is the x-intercept and 'b' is the y-intercept.

You can get this form by dividing the standard form equation by the constant. Here, that gives ...

4x/64 +8y/64 = 1

x/16 +y/8 = 1

This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.

5 0

2 years ago

Pls help as fast as u can

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

a)4.67

b) 2.27

do you not have a calculator? :/

8 0

3 years ago

Read 2 more answers

5. The Inland Revenue department claims it takes an average of 6 hours to complete a tax form. Assuming the time to complete the

forsale [732]

Answer:

i) 90.82% of the people can complete the form in more than 5 hours

ii) The probability that the sample mean is less than 6.5 hours is 0.9986 (99.86%)

Step-by-step explanation:

* Lets explain how to sole the problem

- The average time to complete a tax form is 6 hours

- Assuming the time to complete the form is normally distributed with a

standard deviation of 45 minutes

∵ 1 hour = 60 minutes

∴ 45 minutes = 45/60 = 0.75 hour

∴ The standard deviation is 0.75 hour

- We need to know the percentage of the people who complete the

form in more than 5 hours

* Lets use z-score to find the probability

∵ z-score = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

∵ μ = 6 , σ = 0.75 , x = 5

∴ $z=\frac{5-6}{0.75}=-1.33$

- Use the normal distribution table to find the corresponding area

of z-score -1.33

∵ The corresponding area of -1.33 = 0.09176

∵ P(x > 5) = 1 - P(z > -1.33)

∴ P(x > 5) = 1 - 0.09176 = 0.90824

- Change it to percentage by multiply it by 100%

∴ P(x > 5) = 0.90824 × 100% = 90.82%

∴ 90.82% of the people can complete the form in more than 5 hours

ii)

- A sample of 20 taxpayers are selected

- We need to know the probability that the sample mean is less

than 6.5 hours

- The sample means is called M

- The standard deviation of the distribution of sample means is

called σM where σM = σ/√n , where σ is the standard deviation and

n is the sample size

- z-score = (M - μ)/σM, where μ is the mean of the population

∵ μ = 6 , σ = 0.75 , n = 20 , M = 6.5 hours

∴ σM = $\frac{0.75}{\sqrt{20}}=0.1677$

∴ $z=\frac{6.5-6}{0.1677}=2.98$

- Use the normal distribution table to find the corresponding area

of z-score 2.98

∵ The corresponding area of 2.98 is 0.99856

∵ P(x < 6.5) = P(z < 2.98)

∴ P(x < 6.5) = 0.99856

∴ The probability that the sample mean is less than 6.5 hours

is 0.9986 (99.86%)

6 0

3 years ago

jasmine and waldo went bowling if you took 12 points away from Waldo's score, jasmines score was 3 times that if the sum of thei

Mademuasel [1]

Answer: Jasmine's score is given by

$3(x-12)=3(99-12)=3\times 87=261$

And Waldo's score = 99

Step-by-step explanation:

Let Waldo's score be x

Let Jasmine's score be 3(x-12)

According to question,

$x+3(x-12)=360\\\\x+3x-36=360\\\\4x-36=360\\\\4x=360+36\\\\4x=396\\\\x=\frac{396}{4}\\\\x=99$

So,

Jasmine's score is given by

$3(x-12)=3(99-12)=3\times 87=261$

And Waldo's score = 99

4 0

3 years ago