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3 years ago

if f(x) is a linear function that passes through the points (4,3) and (-4,-9), what is the y-intercept of f(x) ?

1 answer:

3 0

The gradient of the line is calculated as (3 - (-9))/(4 - (-4)) = 1.5

Writing it in point-slope form, you get y-3 = 1.5(x-4)

This gives y = 1.5x - 3 giving a y-intercept of -3.

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The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000

ANEK [815]

Answer:

see the explanation

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ----> the distance in miles

Find the value of k

For the point (4,2268)

$k=\frac{2,268}{4}=567\ mph$

The slope represent the speed of the airplane

The linear equation is

$y=567x$

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

3 0

4 years ago

Use the data set shown below to complete the sentence 3,3,4,5,5,9 the mean the median

lorasvet [3.4K]

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ Mean = 4.8 Median = 4.5

The mean is the average. To find the mean add up all the numbers and divide by the number of numbers:

3 + 3 + 4 + 5 + 5 + 9 = 29

29 ÷ 6 = 4.8

To find the mean, keep crossing out numbers until you are left with one number (for an odd amount of numbers). When you have an even amount of numbers, keep crossing out until you are left with 2 numbers. Add those 2 numbers and then divide:

4 + 5 = 9

9 ÷ 2 = 4.5

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

6 0

3 years ago

Read 2 more answers

What is the radian measure of a central angle of a circle of radius 12 feet that intercepts an arc of length 3 feet ? Round to t

nekit [7.7K]

Answer: 0.25 radians

Step-by-step explanation:

6 0

2 years ago

A camera costs 115 Canadian Dollars. If each Canadian dollar is worth 0.952 U.S Dollars, how much would the camera cost in U.S D

PIT_PIT [208]

This is truly a simple, one-step equation if looked at in the right angle.

You're going to want to multiply 115 by .952:

115
 x .952
 230
+ 6050
+ 93500
 109.48

$109.48 is your final answer.

6 0

3 years ago

Another quick geometry question! Thanks!

miss Akunina [59]

Cross multiply.
14/12=x/18
14 x 18 = 252
252/12= 21
so x=21

5 0

2 years ago