Answer:
12 is 25 percent of 48.
Step-by-step explanation:
To find the solution to this problem, you'll first want to convert the word problem to an equation. We can find key words in the word problem that will give us information about what we're doing and change the percentage into a decimal since both are ways to write numbers less than 1.
If we know that the word 'of' means we should multiply, we can write the equation like this:
12 = .25 * x
where x is the mystery number we are trying to find. Divide both sides by .25 to get x by itself (since any number divided by itself equals 1).
12 / .25 = .25 / .25 * x
12 / .25 = x
48 = x
To check our work, if you know that 25% is one quarter (1/4) of a whole, we can multiply 12 by 4 to find our whole.
12 * 4 = 48
f(x) = 4x - x² - 2x
Vertex form of a parabola: y = a(x - h)² + k where (h, k) is the vertex of this parabola
y = a.(x - h)² + k
y = -1.(x - h)² + k
Let's factor:
f(x) = -x² - 2x + 4
f(x) = -(x + 1)² + 1 + 4
f(x) = -(x + 1)² + 5
So we don't even need to find the vertex, we can just factor.
9/7 because of order of operations
Answer:
Valid
Step-by-step explanation:The term "valid" generally refers to a property of particular statements and deductive arguments. This term is used to describe an argument or proof that is logically correct. That is, its conclusion stems from its assumptions or premises.
A valid argument is one that the conclusion necessarily follows from the premises. That is, if the premises are true, the conclusion will also be true.
Suppose you are presented with two true premises. If you accept that both are true, then you will have to accept that the conclusion is also true, because there is no possibility that the conclusion is false in this case.
The answer is forgetting to return a value from a function that is supposed to return a value is a compilation error.