Answer:
The correct answer is:
It is a linear function because there is a constant rate of change in both the input and output values.
Step-by-step explanation:
Given table is:
Input
(x) Output
(y)
−2 7
−5 4
−8 1
−11 −2
It can clearly be observed that the values for x and y are changing with the same rate.
In case of x, -3 is added to the previous input to get the next input.
Similarly, in case of y, the next output value is obtained by subtracting 3 from the previous value.
Hence,
The correct answer is:
It is a linear function because there is a constant rate of change in both the input and output values.
Answer:
B. 3x -7y < -21
Step-by-step explanation:
For this problem, a quick way to the correct answer choice is to determine on which side of the y-intercept the equation tells you the solution lies. That is ...
- set x=0
- divide by the coefficient of y
Doing this transforms the answer choices to ...
A: y < 3
B: y > 3
C: y > -3
D: y < -3
The graph clearly shows the solution space on the y-axis is in the region y > 3, matching choice B.
Answer:
Step-by-step explanation:
The probability that you make one shot is 70%, or 0.7.
The probability that you make 10 shots is the probability that you make 10 shots in a row. This means that you have to make the first shot AND the second shot AND the third shot and so on. The probability of two independent events both happening is P(A) * P(B), and we can apply that here. Each shot has a 0.7 chance of success, so we multiply that 10 times to get (0.7)¹⁰=0.0282475249
The probability that you make 9 shots can be represented by the following combinations, with M representing a miss and S representing a make.
MSSSSSSSSS
SMSSSSSSSS
SSMSSSSSSS
and so on. There are 10 possible combinations as there are 10 possible places where you can miss but still make 9. The probability of one of these combinations happening is
(0.3) for the miss multiplied by the probability of all the rest making it, or (0.7)⁹ = 0.3 * 0.7⁹ = 0.0121060821
Then, we multiply by 10 because there are 10 possible combinations, resulting in 0.121060821. Add this to the probability of making all 10 to get
0.0282475249 + 0.121060821 = 0.1493083459
Answer:
C≈4.08cm
Step-by-step explanation:
C=2πr=2·π·0.65≈4.08407
==> 225 is 75% of 300 .
==> 225 is 25% smaller than 300 .
==> 225 is 3/4 of 300 .
==> 300 is 4/3 the size of 225 .
==> 300 is (33 and 1/3)% bigger than 225 .
==> 225 is 75 less than 300 .
==> 225 has 10 fewer factors than 300 has.
==> 300 has 2.25 times as many factors as 225 has.
==> 225 and 300 have 5 common factors.
==> The greatest common factor of 225 and 300 is 75 .