12 min
24 min
The number of minutes that it will take for them to do the job together is:
To arrive at the correct answer, it is necessary to factor in the number of minutes worked by each individual. For that, we can assign them х and у.
So the number of hours worked by the person х is 21 minutes
and the number of hours worked by person у is 28 minutes
When they work together, they will spend:
Therefore;
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Answer:
After 4 months total cost of each health club would be the same that is $74.
Step-by-step explanation:
Let x represent number of months.
We have been given that Club A offers membership for a fee of $14 plus a monthly fee of $15.
The total cost of using Club A for x months would be .
We have been given that Club B offers membership for a fee of $18 plus a monthly fee of $14.
The total cost of using Club B for x months would be .
Let us equate both equations to find number of months, when both health clubs cost would be same.
Therefore, after 4 months the total cost of each health club would be the same.
The total cost of using Club A:
The total cost of using Club B:
Therefore, the total cost for each club would be $74.
Answer: (x - 3)^2 = -24(y + 3)
Step-by-step explanation:
To find the equation of the parabola in standard form, we can use the formula (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus.
Given that the directrix is y = 3 and the focus is (3, -3), we can see that the parabola opens downward.
The focus is (h, k + p) = (3, -3) and the directrix is y = k - p = 3. By comparing the y-coordinates, we can find p.
-3 = 3 + p
p = -6
Substituting the values into the formula, we get:
(x - 3)^2 = 4(-6)(y - (-3))
So, the equation of the parabola in standard form is (x - 3)^2 = -24(y + 3).
The domain is x = 1, 2, 3, 4, 5...... ∈ R (set of real number).
Range: (0,∞)
Asymptote: y=0.
The range of a function is the set of output values for the dependent variable.
The range, however, is bounded by the horizontal asymptote of the graph of f(x).
A straightline that continuously approaches a certain curve without ever meeting it is an asymptote.
Given:
h(x) = 6x – 4
Now, the domain is the input value as
x = 1, 2, 3, 4, 5...... ∈ R (set of real number)
So, h(1) = 6-4 =2
and, h(2) = 12-4 = 8
and, the range is (0,∞)
Now, the asymptote h(x)= 0
6x-4 = 0
x= 2/3.
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