Answer:
Step-by-step explanation:
as long as a and b are just numbers they can have infinitely many solutions. Basically, take any number, you can multiply it by some other number and in return get another number you choose. so if I want to multiply 3 by something to get literally any other number, I could. The simplest way is to multiply by the real number n/3 where n s that number we want to get to. Same if you add a b, you will just have to take that into account. So we want ax + b to equal a number n? make x be the number (n-b)/a You just have to pick a number for a, b and n.
equations with just an x are known as linear, because theya re just a straight line. maybe at an angle, but a straight line. a quadratic is a "degree" above, which means it has an x^2. Nothing higher, but it has to have an x^2. It can have a plain old x as well. so it is of the form ax^2 or ax^2 + bx or ax^2 + bx + c or even ax^2 + c. needs that x^2 as the highest exponent a variable has. also a cannot be 0 otherwise there won't be an x^2 and it'll just be linear again.
In relation to linear it is no longer straight, instead it has a single curve to it. after x^2 they can have more than one curve, so for instance a "degree three" equation could have up to two curves. degree three means the highest exponent on a variable is 3. but it could also have just one as well, and this pattern continues.
So to summarize, the relation between linear and quadratic is the degree of the variable being a difference of 1 which in turn means a difference of one "curve"
Answer:
30
Step-by-step explanation:
This would translate to 6*5, which equals 30
Answer:
- f(x) = x^5
- g(x) = 2x -6 . . . . . and see below for other possible definitions
Step-by-step explanation:
You are given an expression for the composition H(x) = f(g(x)) and asked to decompose it into two functions. One way to do that is to look at what is being done to the variable in the function H(x):
- the variable is multiplied by 2
- 6 is subtracted from the product
- the difference is raised to the 5th power.
One of the ways to create the functions g(x) and f(x) is to start at the top of this list and work your way down. Any subset of these transformations can be made into g(x). Then the rest of them are made into f(x).
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For example, using
g(x) = 2x
Then the rest of the list is f(x):
f(x) = (x-6)^5
so when you put 2x as the argument for f(x), you get ...
H(x) = f(g(x)) = f(2x) = (2x -6)^5 . . . . . the function we want.
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We could also do the first two steps of our list as g(x):
g(x) = 2x -6
f(x) = x^5
so
H(x) = f(g(x)) = f(2x -6) = (2x -6)^5
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If we like, we can factor the expression for H(x):
H(x) = (2(x -3))^5 = 32(x -3)^5
Using the methods above, we could write ...
g(x) = x -3
f(x) = 32x^5
so
H(x) = f(g(x)) = f(x -3) = 32(x -3)^5
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The multiplication and the addition can be made into several parts. We could choose ...
g(x) = (1/4)x -1
f(x) = (8x +2)^5
so
H(x) = f(g(x)) = f(1/4x -1) = (8(1/4x -1) +2)^5 = (2x -6)^5
Answer:
Tyler's height in centimeters is, 144.78 centimeters.
Step-by-step explanation:
Given the statement: Tyler's height is 57 inches.
To find his height in centimeters.
Using the conversion:
Proportion states that the two ratios or fraction are equal.
Using proportion method:
By cross multiply, we get
centimeters.
therefore, his height in centimeter is, 144.78 inches.
Hello, here is the answer fellow student ..... 549÷9=61
