Answer:
The domain is all real numbers, x, such that x ≤ 4/3.
The range is all real numbers, y, such that y ≥ 0.
Step-by-step explanation:
The domain is the set of values that can be substituted for x.
The expression inside the square root cannot be negative; therefore, it must be zero or positive.
4 - 3x ≥ 0
-3x ≥ -4
x ≤ 4/3
The domain is: x ≤ 4/3
The range is the set of value that can be substituted for y.
When all numbers of the domain are used for x, and then the square root is taken, the smallest value that the square root can have is zero. Therefore, y can be all real numbers greater than or equal to 0.
The range is: y ≥ 0
The product of 289 and 7 falls between the numbers 2022 and 2024.
Because 289 x 7 = 2023
Let A represents the event that DVD has a video effect.
So,
P(A) = 1.5 %
Let B represents the event that DVD has a audio defect.
So,
P(B) = 0.8 %
A ∩ B represents that DVD has both audio and video defect.
So,
P(A∩B) = 0.4%
Part a)
A ∪ B represents that DVD has a video or audio defect.
P(A∪B) = P(A)+P(B)-P(A∩B) = 1.5 + 0.8 - 0.4 = 1.9%
Thus the probability that the DVD purchased by the customer has a video or audio defect is 1.9%.
Part b)
The complement of P(A∩B) will represent the probability that the DVD does not have video or audio defect.
So, the probability that DVD purchased by customer does not have video or audio defect is 1 - 0.4 = 0.96%
Let c represent the cost of bus fare per week
5c = $115
c = $25
The student spends $25 per week for bus fare so the rate is $25
The equation to determine the total cost for "x" number of weeks is:
y = $25x
Answer:
r<=-8 or r is less than or equal 8
Step-by-step explanation:
-2r+3>=19
-2r>=16
r<=-8
you flip the sign when the variable is a negative. To plot this on a number line place a close circle on -8 moving to the left direction.
