Which value must be added to the expression x^2+12x to make it a perfect square trinomial a:6 b:36 c:72 d:144
2 answers:
The quadratic expression uses the following formula:
The expression is missing the variable of c, and it is a perfect square trinomial.
To find c in a perfect square trinomial, we will use the following formula:
The value of b in this expression is 12. Plug this value into the formula:
36 must be added to make this trinomial a perfect square.
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To find out, graph them, analyze, and check.
Graph them.
You get the graph below.
Check the answers.
It looks like B matches.
So, the answer is B.
Graph them.
You get the graph below.
Check the answers.
It looks like B matches.
So, the answer is B.
Answer:
Step-by-step explanation:
Given that a fair coin is flipped twelve times.
It means the number of possible sequences of heads and tails would be:
2¹² = 4096
We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula
Plug in n = 12 and r = 9
∵
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Thus, the probability will be:
Thus, the probability of the coin landing tails up exactly nine times will be:
Since g(6)=6, and both functions are continuous, we have:
![\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2Bf%28x%29g%28x%29%5D%20%3D%2045%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2B6f%28x%29%5D%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B9f%28x%29%5D%20%3D%2045%5C%5C%5C%5C9%5Ccdot%20lim_%7Bx%20%5Cto%206%7D%20f%28x%29%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20f%28x%29%3D5)
if a function is continuous at a point c, then
,
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since
, f(6) = 5
Answer: 5
if a function is continuous at a point c, then
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since
Answer: 5