Answer:
slope = -1.5
Step-by-step explanation:
A set of three or more points are said to be collinear if they all lie on the same straight line.
We have been given the following collinear set of points;
P(0, 3), Q(2, 0), R(4, -3)
This implies that P, Q, and R lie on the same line.
The slope of a line is defined as; (change in y)/(change in x)
Using the points P and Q, the slope of the line is calculated as;
(0-3)/(2-0) = -3/2 = -1.5
I got 53.50 but that’s not one of your answer choices
Answer:
Step-by-step explanation:
3x%2B4y=12 Start with the given equation
4y=12-3x Subtract 3+x from both sides
4y=-3x%2B12 Rearrange the equation
y=%28-3x%2B12%29%2F%284%29 Divide both sides by 4
y=%28-3%2F4%29x%2B%2812%29%2F%284%29 Break up the fraction
y=%28-3%2F4%29x%2B3 Reduce
Looking at y=-%283%2F4%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F4 and the y-intercept is b=3
Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -3%2F4, this means:
rise%2Frun=-3%2F4
which shows us that the rise is -3 and the run is 4. This means that to go from point to point, we can go down 3 and over 4
So starting at , go down 3 units
and to the right 4 units to get to the next point
Now draw a line through these points to graph y=-%283%2F4%29x%2B3
So this is the graph of y=-%283%2F4%29x%2B3 through the points and
Answer:
(14, 22)
Explanation:
The amount of time that customers have to wait for their food is normally distributed with:
• Mean = 18 minutes
,
• Standard deviation = 4 minutes.
The Empirical Rule
For normal distributions, the empirical rule states that:
• 68% of observed data points will lie inside one standard deviation of the mean.
,
• 95% will fall within two standard deviations
,
• 99.7% will occur within three standard deviations.
By the empirical rule, 68% of observed data points will lie inside one standard deviation of the mean.
Therefore, the interval of minutes that the middle 68% of customers have to wait is:
The interval is (14, 22).
Answer:
5c+4=2(c-5)
opening the parentheses we get:
5c+4=2c-10
putting like terms together we get
5c-2c=-10-4
3c=-14
c=-14/3
so the answer would be A. C = - 4 2/3