Answer:
Before we graph 
we know that the slope, mx, could be read as 
. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.
For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable 
does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.
Multiply all of the numbers with each other and then simplify
Answer:
D. $275
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
According to the standard deviation rule, almost 2.5% of the students spent more than ... on textbooks in a semester:
This is the value of X when Z has a pvalue of 1-0.025 = 0.975. So it is X when Z = 1.96[/tex]
So
So the correct answer is:
D. $275
It should be
-2x^2-8x+4
If it's not sorry
Answer:
x = 25.5
Step-by-step explanation:
Since there is a pair of parallel lines and a line cutting across the lines, ∠5 and ∠12 are interior angles and add up to 180°.
∠5 + ∠12 = 180°
5x - 11 + x + 38 = 180
Evaluate like terms.
6x + 27 = 180
Isolate 6x.
6x = 180 - 27
= 153
Find x.
x = 153 ÷ 6
x = 25.5
