Answer:
9
Step-by-step explanation:
9 is 3/4*12.
For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.
<h3>How to find the resulting equation after applying a compression</h3>
Here we must narrow a given function by a <em>rigid</em> operation known as compression. <em>Rigid</em> transformations are transformations in which <em>Euclidean</em> distances are conserved. In the case of functions, we define the horizontal compression in the following manner:
g(x) = f(k · x), for 0 < k < 1 (1)
If we know that f(x) = x², then the equation of g(x) is:
g(x) = (k · x)², 0 < k < 1
For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.
To learn more on rigid transformations: brainly.com/question/1761538
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Answer:
h(x + 1) = (x+3)(x-1)
Step-by-step explanation:
Simply plug the value of x+1 into the equation for x.
h(x) = x^2 - 4
h(x + 1) = (x + 1)^2 - 4
h(x + 1) = x^2 + 2x + 1 - 4
h(x + 1) = x^2 + 2x - 3
h(x + 1) = (x+3)(x-1)
Cheers.
Answer: 12
<u>Step-by-step explanation:</u>
The LCM of 48 and 28 is 336
It would take 336 ÷ 28 = 12 revolutions of gear B
and 336 ÷ 48 = 7 revolutions of gear A
to match up the arrows.
1)
2)
Here, the variable
can assume any value, and usually an inequality presented like this has
as a stand-in for all real numbers. If we really wanted to make that fact clear, we could write the two inequalities like this:
Formally, you'd read
as "
is an element of the set of real numbers," which is a fancy way of saying that
can be any real number.
