Answer:
The average rate of change is 4.
Step-by-step explanation:
Average rate of change is simply a fancy way of saying "find the slope".
So for slope, we use (y2-y1)/(x2-x1).
(3-(-13))/(2-(-2))
16/4
4
Answer:
x= -1
Step-by-step explanation:
since y is -5 then we would put that in the second equation:
2x - 4(-5) = 18
then it’s:
2x + 20 = 18
Then we subtract 20 from both sides
2x = -2
Last we divide both by 2 and we get x = -1
Three consecutive integers that add up to 33 are 2 above and lower than a middle number. This means that the average of these 3 numbers will be the same. Therefore, 33/3=11 as the average. Therefore 11 is the middle number, 9 is 2 below (a consecutive odd integer) and 13 is 2 above (a third consecutive odd integer). Therefore the 3 numbers are 9, 11, and 13.
As the weight increases, the price increases.
Answer: Choice C) 2
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Explanation:
Using the law of sines, we get
sin(B)/b = sin(C)/c
sin(18)/7 = sin(C)/11
0.0441452849107 = sin(C)/11
11*0.0441452849107 = sin(C)
0.4855981340177 = sin(C)
sin(C) = 0.4855981340177
C = arcsin(0.4855981340177) or C = 180-arcsin(0.4855981340177)
C = 29.0516679549861 or C = 150.948332045013
There are two possibilities for angle C because of something like sin(30) = sin(150) = 1/2 = 0.5
Those approximate values of C round to
C = 29.05 and C = 150.95
If C = 29.05, then angle A is
A = 180-B-C
A = 180-18-29.05
A = 132.95
Making this triangle possible since angle A is a positive number
If C = 150.95, then angle A is
A = 180-B-C
A = 180-18-150.95
A = 11.05
making this triangle possible since angle A is a positive number
There are two distinct triangles that can be formed.
One triangle is with the angles: A = 132.95, B = 18, C = 29.05
The other triangle is with the angles: A = 11.05, B = 18, C = 150.95
The decimal values are approximate
