Each time Henry visits the art museum he pays $15 for parking and $25 for admission. If he buys a membership for $110, parking w
1 answer:
Answer:
Part 1) Option A. y = 110 + 10x; y = 40x
Part 2) The smallest number of visits is equal to 4
Step-by-step explanation:
Part 1) Choose the two equations that represent the situation
Let
x ----> the number of museum visits
y ----> the total cost for the visit to the art museum
we know that
<em>Non-member</em>
<em>Member</em>
Part 2) Write an inequality that represents the number of museum visits for which the total member cost is less than the non-member cost
The inequality that represent the situation is
Solve for x
Rewrite
Round to the nearest whole number (Remember that the number of visits cannot be a decimal number)
therefore
The smallest number of visits is equal to 4
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The prime factorisation of 600 is given by
Therefore, a = 3, b = 3, c = 5 and d = 2.
Therefore, a = 3, b = 3, c = 5 and d = 2.
Answer:
Step-by-step explanation:
See the comment for complete question.
Given
----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
and
Using the above roots, the equation can be represented as:
Open brackets
To compare the above equation to , we have:
Where: and
The values of and
that satisfy
are:
and
and
and
and
So, the possible values of a are:
When and
When and
When and
When and
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is: