Substitute each value of x in y=2x-3
so,
first box (-2)
y= 2(-2)-3
y= -4-3
y= -7
second box (0)
y= 2(0)-3
y= 0-3
y= -3
third box (3)
y=2(3)-3
y=6-3
y=3
A) part of it is decreasing, part of it is increasing.
Going left-to-right, the downhill/negative slope is the decreasing portion (x<-1) and the uphill/positive slope is the increasing portion (x>-1).
B) The x-intercepts are the points where the graph intersects the x-axis: (2,0) and (-4,0).
C: The y-intercept is the point where the graph intersects the y-axis: (0,-2).
D: There is no absolute maximum. The graph keeps going up forever.
E: The absolute minimum <u>point</u> is at that bottom, at (-1, -3). The absolute minimum <u>value</u> is -3, since that's the lowest y-value used.
Answer:
22 3/4 ft
Step-by-step explanation:
The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.
<h3>Proportion</h3>
Shadow lengths are presumed proportional to the height of the object making them. This means ...
h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet
Multiplying by 31 1/2, we get ...
h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4
h = 22 3/4 . . . . ft
The flagpole is 22 3/4 feet tall.
<em><u>The common difference d is </u></em>
<em><u>The first term is</u></em>
<em>so , the first term is -13 </em>
ANSWER:
104
STEP-BY-STEP EXPLANATION:
Given:
Standard deviation (σ) = 700
Confidence level = 95%
Mean error (Eμ) = 135
We have for a confidence level of 95%:
Now, we calculate the minimum value of the sample size as follows:
The minimum sample size needed is 104
