Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
1/2u - 3 x u
2u x u = 2u
answer 2u - 3
Answer:
f(x) = -5x + 4
Domain refers to the values of x that would result to a defined value of y. Since the given f(x) is a linear function, then all the values of x would give a corresponding value of y. So, the domain of f(x)=-5x+4 are all real numbers.
Or, plot the given equation to check.
The graph of f(x)=-5x+4 is shown below.
Since the graph is a straight line and can be extended continuously on both ends, this indicates that every values of x, there is a corresponding value of y.
Hence, the domain of the given function are all real numbers.Step-by-step explanation: