A. The equation in slope-intercept form, relating the cost, y, to the number of nights stay, x is y = 755 + 101x.
B. The cost for 10 days is $1765.
<h3>How to calculate the value?</h3>
It should be noted that the information can be illustrated with an arithmetic sequence:
Smile Vacations is offering a 4-night Hawaiian vacation for $1,058. This will be illustrated as:
a + 3d = 1058
a = first term
d = common difference
The 7-night vacation for $1,361. This will be:
a + 6d = 1361
The equation will be represented as:
a + 3d = 1058
a + 6d = 1361
Subtract the equations:
3d = 303
Divide
d = 303/3
d = 101
Recall a + 3d = 1058
a + 3(101) = 1058
a + 303 = 1058
a = 1058 - 303
a = 755
The cost for 10 nights will be:
y = 755 + 101x.
y = 755 + 101(10)
y = 755 + 1010
y = 1765
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<span>36 is the y intercept, the value for the function when x = 0. In this function the x's are the times and the y's are the temperatures. so in this scenerio, when x = 0, the time would be midnight</span>
Answer:
A. They are equidistant from the origin
Step-by-step explanation:
The length of the hypotenuse is 5.83 inches long so between 5 and 6 inches
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.