Answer:
C) p(x) has a zero between x=2 and x=4
Step-by-step explanation:
For a polynomial p(x), means that, when p(x) is divided by
, the remainder is
.
This is called the remainder theorem
Therefore ,
means that when p(x) is divided
and
is 1 and
respectively.
Also the Intermediate value theorem says that, if p(a) and p(b) have opposite signs then there is a certain on
where
i.e there is a zero between
and
Therefore the correct answer is C
Answer:
Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.
Step-by-step explanation:
1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.
2) Here are the most common outcomes, as long as we continue on flipping coins.
If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5
This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails
Given the system of equations:
To solve it by substitution, follow the steps below.
Step 1: Solve one linear equation for x in terms of y.
Let's choose the second equation. To solve it for x, add 3y to each side of the equations.
Step 2: Substitute the expression found for x in the first equation.
Step 3: Isolate y in the equation found in step 2.
To do it, first, add 48 to both sides.
Then, divide both sides by 15.
Step 4: Substitute y by 5 in the relation found in step 1 to find x.
Answer:
x = -9
y = 5
or (-9, 5)
Also, you can graph the lines by choosing two points from each equation, according to the picture below.
