What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
1 answer:
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So the rate of change can be found in different places.
For the first one:
This equation is in slope-intercept form, or y = mx + b.
m would be the slope/rate of change, and b the y intercept. (x and y would just be any sets of ordered pairs that fit into the equation.)
So if you look at which number is in the m spot, or the rate of change spot, you see that 5 is the rate of change.
For the second one: The formula for slope is:
m =
So just put in any ordered pairs in. I'm just going to put in the ordered pairs, (6, 30) and (4, 22).
Or,
m = (30 - 22) / (6 - 4)
Or,
m = 8/2
Or 4.
For the third one:
You can use the same formula as I stated above.
So you have to look for two ordered pairs here, two points.
So you can estimate that two of the points are: (0, 3) and (-2, -9).
So then just solve for that.
(-9 - 3) / (-2 - 0) = -12 / -2 = 6
For the last one:
Again, use the same equation.
m = (7 - 1) / (-1 - (-3))
m = 6/2
m = 3
So the one with the greatest rate of change would be C.
For the first one:
This equation is in slope-intercept form, or y = mx + b.
m would be the slope/rate of change, and b the y intercept. (x and y would just be any sets of ordered pairs that fit into the equation.)
So if you look at which number is in the m spot, or the rate of change spot, you see that 5 is the rate of change.
For the second one: The formula for slope is:
m =
So just put in any ordered pairs in. I'm just going to put in the ordered pairs, (6, 30) and (4, 22).
Or,
m = (30 - 22) / (6 - 4)
Or,
m = 8/2
Or 4.
For the third one:
You can use the same formula as I stated above.
So you have to look for two ordered pairs here, two points.
So you can estimate that two of the points are: (0, 3) and (-2, -9).
So then just solve for that.
(-9 - 3) / (-2 - 0) = -12 / -2 = 6
For the last one:
Again, use the same equation.
m = (7 - 1) / (-1 - (-3))
m = 6/2
m = 3
So the one with the greatest rate of change would be C.
Answer:
Step-by-step explanation:
This means:
- when x is equal to zero or less than zero, g(x) will always be 7.
- when x is more than zero, g(x) is
Answer:
Option (1) is the correct option.
Step-by-step explanation:
From the given frequency table,
Option (1).
Tossing an even number is more likely than tossing an odd number.
Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9
Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7
Which shows frequencies of tossing even numbers are more.
Therefore, Option (1) is correct.
Option (2)
The number 2 will be the next number tossed.
Since it is unpredictable, therefore, this option is incorrect.
Option (3)
Number 4 is half as likely to be tossed as the number 3.
Frequency of tossing number 3 = 6
Frequency of tossing 4 = 10
Frequency of tossing 3 is not the half of tossing 4.
Therefore, Option (3) is incorrect.
Option (4)
Probability of tossing the number 2 =
=
=
=
Therefore, option (4) is incorrect.