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adelina 88 [10]
3 years ago
12

100 POINTS BRAINLIEST QUESTION ATTACHED

Mathematics
2 answers:
Olegator [25]3 years ago
6 0

f(-2)= |-2-4| - 3

f of -2 = |-6|-3

fof -2= 3

padilas [110]3 years ago
5 0

f(x)=|x-4|-3

f(-2)=|-2-4|-3

=|-6|-3

=6-3

=3


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what is the slope- intercept form of the equation of the line that passes through the points (-3,2) and(1,5)
erma4kov [3.2K]

Answer:

y = \frac{3}{4} x + \frac{17}{4}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)

m = \frac{5-2}{1+3} = \frac{3}{4}, hence

y = \frac{3}{4} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 5 ), then

5 = \frac{3}{4} + c ⇒ c = 5 - \frac{3}{4} = \frac{17}{4}

y = \frac{3}{4} x + \frac{17}{4} ← in slope-intercept form


6 0
3 years ago
Which fraction has a value that's equal to 3∕4?
olga55 [171]
6/8
9/12
12/16
15/20 

etc.


6 0
3 years ago
Read 2 more answers
Which of the following best describes the slope of the line below
adoni [48]

Answer:

  B. Negative

Step-by-step explanation:

A line that has a negative "rise" (vertical change) for a positive "run" (horizontal change) has a negative slope. The slope is calculated from rise/run, so if the signs of rise and run are different, the slope is negative.

Any line that goes downward to the right has negative slope.

_____

Any line that goes upward to the right has positive slope.

8 0
3 years ago
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its mean number of unoccup
Mkey [24]

The given sample's 95% confidence interval is 11.6 ± 0.5357. I.e., from the lower bound 11.06 to the upper bound 12.14. Its margin error is 0.5357.

<h3>How to find the confidence interval?</h3>

To find the confidence interval C.I,

  • Determine the mean(μ) of the sample
  • Determine the standard deviation(σ)
  • Determine the z-score for the given confidence level using the z-score table
  • Using all these, the confidence interval is calculated by the formula,  C. I = μ ± z(σ/√n) where n is the sample size and z(σ/√n) gives the margin error. So, we can also write C. I = mean ± margin error.

<h3>Calculation:</h3>

It is given that,

Sample size n = 225

Sample mean μ = 11.6

Standard deviation σ = 4.1

Since 95% confidence interval, z-score is 1.96

So, the required confidence interval is calculated by,

C. I = μ ± z(σ/√n) or mean ± margin error

On substituting,

C. I = 11.6 ± 1.96(4.1/√225)

     = 11.6 ± 1.96 × 0.2733

     = 11.6 ± 0.5357

So, the lower bound = 11.6 - 0.5357 = 11.065 and

the upper bound = 11.6 + 0.5357 = 12.135.

Thus, the confidence interval is from 11.06 to 12.14, and its margin error is 0.0537 for the population mean number of unoccupied seats per flight.

Learn more about confidence intervals here:

brainly.com/question/16236451

#SPJ4

3 0
2 years ago
H e l p please. can't solve​
omeli [17]

Answer:

\frac{1}{2} 3 \\

Step-by-step explanation:

Your welcome

8 0
3 years ago
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