Answer:
Step-by-step explanation:
1. f(x)= x^2+10x+25
a) (-5,0)
c)x=-5
2. image attached
a) when finding the zeros or roots of the quadratic
3. the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots.
a) b^2-4ac
-15=11-2b
-11. -11
-26=-2b
-2. -2
13=b
Answer:
So A, D, and G.
Step-by-step explanation:
When x = 2, both expressions have a value of 18. True
The expressions are only equivalent for x = 4 and x = 6. False
The expressions are only equivalent when evaluated with even values. False
The expressions have equivalent values for any value of x. True
The expressions should have been evaluated with one odd value and one even value. false
When x = 0, the first expression has a value of 4 and the second expression has a value of 5. False
The expressions have equivalent values if x = 8. True
<h2>Hope this helps.</h2>
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


∵ 
∵ 

Thus, the probability will be:



Thus, the probability of the coin landing tails up exactly nine times will be: