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4 years ago

A function f(x) is graphed on the coordinate plane.

Mathematics

2 answers:

Sidana [21]4 years ago

8 0

Answer: y = - 4x + 2

Explanation:

The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.

The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.

The graph permits you to calculate both parameters.

1) The slope, a is defined in this way:

a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]

you can use the points (0, - 2) and (-1,2):

⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4

2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b = - 2.

3) Substituting the values of a and b in the form y = ax + b, you the rule:

y = - 4x - 2

Citrus2011 [14]4 years ago

6 0

Answer:

f(x) = -4x - 2

Step-by-step explanation:

slope = -4 and y intercept = -2

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As part of his semester project, a BYU-Idaho Introductory Statistics student calculates a 95% confidence interval for the true p

lyudmila [28]

Answer:

a. There's a 95% chance that the true proportion is in the confidence interval.

Step-by-step explanation:

When we want to estimate a property of a population (a population's parameter), without surveying the population, we use samples.

Then, with the information of the samples we can calculate the statistics and infere properties about a population. This inferences obviously came with some uncertainty, depending on the properties of the sample and specially the sample size.

When we talk about confidence intervals, we use the statistic of the sample (in this case, the mean) to estimate a range of values it is expected to find the true mean of the population. The width of this interval depends on the sample standard deviation and the sample size.

The value of the confidence interval (95%, 99%, etc) represent the probabilty that the true mean is within this interval.

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4 years ago

A bag contains 10 marbles: 3 are green, 2 are red, and 5 are blue. Ashley chooses a marble at random, and without putting it bac

Butoxors [25]

(1).probability of getting a red marble is.

total number of red marble is 2.

total number of marble is 10.

$p(e) = \frac{2}{10} = \frac{1}{5}$

(2). probability of getting a blue marble is

total number of blue marble is 3.

total number of marble in bag is 9

$p(e) = \frac{3}{9} = \frac{1}{3}$

6 0

3 years ago

If you place a 50-foot ladder against the top of a 14-foot building, how many feet will the bottom of the ladder be from the bot

tia_tia [17]

Answer:

The measure of bottom of ladder from bottom of building is 48 .

Step-by-step explanation:

Given as :

The length of the ladder = l = 50 foot

The height of the building = h = 14 foot

Let The measure of bottom of ladder from bottom of building = x foot

Now from figure

<u>The figure is of right angled triangle</u>

So,

Hypotenuse² = perpendicular² + base²

Or, OB² = AB² + OA²

Or, OA² = OB² - AB²

Or, x² = (50)² - (14)²

Or, x² = 2500 - 196

Or, x² = 2304

∴ x = $\sqrt{2304}$

I.e x = 48

So,The measure of bottom of ladder from bottom of building = x = OA = 48 foot .

Hence, The measure of bottom of ladder from bottom of building is 48 . Answer

5 0

3 years ago

Plz simplify and answer 3x+7x−28+31−8x for x=2043

exis [7]

Answer:

4091

Step-by-step explanation:

Given the equation;

3x + 7x − 28 + 31 − 8x

First, we would collect like terms;

3x + 7x − 8x − 28 + 31

Simplifying, we have;

$2x + 5$

For x = 2043;

2(2043) + 5 = 4086 + 5 = 4091.

4 0

3 years ago

Read 2 more answers

A family has two cars. The first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of

worty [1.4K]

Answer:

first car is x

second car is y

25x+30y=1550

x+y=55

Multiply the second equation by -25 for elimination method to cancel out x

-25x-25y=-1375

Add the two equations

5y=175

y=35

Plug this value into the second equation

x+35=55

x=20

Final answers:

First car=20 gallons

Second car=35 gallons

Step-by-step explanation:

7 0

3 years ago