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SashulF [63]
3 years ago
13

How do functions work? Could someone explain how to know which questions are functions or not

Mathematics
1 answer:
belka [17]3 years ago
6 0

Answer:

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x  equals 2.

Step-by-step explanation:

here is a step by step equation:

f(x) = x + 7

if:

x=2

then:

f(2) = 2 + 7 = 9

A function is linear if it can be defined by

f(x) = mx + b

Makes sense? Hope I helped

plus I'm in middle school learning this also.

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What inequality matches the statement : A number is at most 40
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Answer:

N ( a number) \leq 40

Step-by-step explanation:

Or just say

N \leq 40

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How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? Write a formula
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What division sentence means the same as the following subtraction sentences?​
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Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th
vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y  = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

y = 125

6 0
2 years ago
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