Use X and Y to create a function and describe how its a function.
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f(x)=3x+4
This is a function because it shows that the y value is equivalent to 3 times the x value plus 4. the 4 is used to represent the y intercept, which is were the function's line intercepts the y axis (it intercepts at 4 units). For ever value of x, f(x) is four more than three times x.
Related Questions
Toni had a backlog of work to do. On Monday she did 1/4 of the backlog. If on Tuesday she does the same amount of work (e.g., processe the exact same number of files), what part of the backlog will be left?
An equivalent fraction for 2/3 is 1. 2/6 2. 1/3 3. 8/15 4. 10/15
9.85 less than the product of 37 and t
The mean distance from the surface of the earthto the surface of the moon is 376 000 km. Whatis the distance in Scienu fic Notalion?
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Answer:
6, but the question makes more sense when asking about 12.5% from 48
Step-by-step explanation:
to get a percentage of something, we just have to remember that and that we just need to multiply.
Yes, percentages are just numbers, but the percentage sign lets us signify the purpose of a number.
48 * 12.5% = 48 * 0.125 = 48 / 8 = 6
Answers
Answer:
275 bicycles
Step-by-step explanation:
We are given the average cost per bicycle as;
C(x) = 0.2x² - 1.1x + 10.592
We will solve this by finding the derivative of the C(x) function which will give us the instantaneous slope. Thereafter, we will find the extremas which will occur when the instantaneous slope is equal to 0.
Thus, derivative of C(x) is;
C'(x) = 0.4x - 1.1
Equating to zero, we can find the extremas.
Thus;
0.4x - 1.1 = 0
x = 1.1/0.4
x = 2.75
To check if this is minimum of maximum, we will find the second derivative of C(x)
Thus;
C''(x) = 0.4
Thus is a positive value, and so it means the critical point is a minimum.
Thus, X = 2.75
We were told x is in hundreds of bicycles. Thus, X = 2.75 × 100 = 275 bikes
To Optimization minimize the average cost per bicycle, the shop should build 275 bicycles. This is determined by finding the x-coordinate of the vertex ('minimum point') of the parabolic graph represented by the average cost function .
The function is a quadratic function, and represents the average cost per bicycle. The shape of the graph of a quadratic function is a parabola.
In this case, because the coefficient of the x^2 term is positive, the parabola opens upwards,which means it has a minimum point.
Therefore, the minimum average cost per bicycle occurs at the vertex of the parabola.
To find the x-coordinate of the vertex (which is the number of bicycles), we use the formula , where a is the coefficient of the
term (0.2) and b is the coefficient of the x term (-1.1).
Plugging in these values gives hundreds of bicycles or 275 bicycles.
Therefore, the shop should build 275 bicycles to minimize the average cost per bicycle.
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Answers
8u + 9v + 3u -5v can be simplified as 11u + 4v.
What is expression?
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given expression
8u + 9v + 3u - 5v
Adding like terms
= 11u + 4v
Hence, 11u + 4v is simplified form of expression 8u + 9v + 3u -5v.
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= 11u + 4v ....simplified
hope it helps
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Answer:
...not lie on the same plane.
Step-by-step explanation:
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6 squared divided by 2(3) plus 4 is equal to 10.
To evaluate the expression 6 squared divided by 2(3) plus 4, follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right):
Here, from the given expression, we get,
6 squared means 6 raised to the power of 2,
which is
Perform the multiplication inside the parentheses.
2(3) means 2 times 3,
which is 2 * 3 = 6.
Now, the expression becomes:
36 ÷ 6 + 4 [Perform the division]
=>36 ÷ 6 = 6 [Perform the addition]
=> 6 + 4 = 10
The final result is 10.
So, 6 squared divided by 2(3) plus 4 is equal to 10.
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6²=36
2(3)=6
So now we have
36/6 + 4 which is 6 + 4 which is 10.