Answer: y = 5x − 11
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3,4) and (2, -1),
y2 = - 1
y1 = 4
x2 = 2
x1 = 3
Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5
To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into
y = mx + c. It becomes
4 = 5 × 3 + c
4 = 15 + c
c = 4 - 15 = - 11
The equation becomes
y = 5x - 11
Answer:
lineHO parallel lineEN - Given
lineHW = lineNW - Given
angle HWO <u>congruent</u> angle EWN Vertical Angles
angle OHW <u>congruent</u> angle ENW Alternate interior angles
Thus triangle HOW congruent triangle NEW
[wouldn't let me use symbols sorry]
Answer:
kitchen sink faucet stream
Step-by-step explanation:
with kitchen sink faucet you fill 0.05gallons of water per second you get that by dividing 0.5 by 10
and the bathroom sink faucet does 0.041gallons of water per second you get that by dividing 0.75 by 18
<h3>
Answer: -7 < x < 17</h3>
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Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse 
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
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In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
The true statement based on the histogram is
There were no lap times between 35 and 36 seconds.
The correct option is (A).
<h3>What is Histogram?</h3>
A histogram is a graphical representation that organizes a group of data points into user-specified ranges.
Given:
indoor running track is 200 meters in length.
Also, a 3,000-meter race, runners must complete 15 laps of the track.
As, there no data for interval 35-36.
So, there were no lap times between 35 and 36 seconds.
Hence, The interval from 37 to 38 seconds saw the most lap times.
Learn more about histogram here:
brainly.com/question/16819077
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