Answer: Train 2 is traveling 4 miles per hour faster than train 1.
Hope this helps..... Stay safe and have a Merry Christmas!!! :D
Step-by-step explanation:
Remember that in a linear function of the form
,
is the slope and
is the why intercept.
Part A. Since
, its slope is 2 and its y-intercept is 6
Now, to find the slope of
we are using the slope formula:

where
is the slope
are the coordinates of the first point
are the coordinates of the second point
From the table the first point is (-1, -12) and the second point is (0, -6)
Replacing values:




The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).
Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table
when
; therefore the y-intercept of
is -6.
We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.
Answer: 89,760 miles
Step-by-step explanation: 5,280*17=89,760.
Depending on how flexibly you interpret "about 20 times larger" to mean, the answers are B and D.
Check the ratios of the larger number to the smaller number:
A: (2.01 x 10^7)/(4.25 x 10^6) = 2.01/4.25 x 10^1 = 20.1/4.25 = 4.729
B: (8.21 x 10^-3)/(4.13 x 10^-4) = 8.21/4.13 x 10^1 = 82.1/4.13 = 19.879
C: (4.91 x 10^6)/(5.09 x 10^3) = 4.91/5.09 x 10^3 = 4910/5.09 = 964.637
D: (5.97 x 10^4)/(3.12 x 10^3) = 5.97/3.12 x 10^1 = 59.7/3.12 = 19.135
Answer:
Standard score z=0.07
Step-by-step explanation:
The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.
For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

This value is 0.07 standard deviations right to the mean.
In the picture attached, we have located the z-score.