The equation of the line going through (-6, 0) and (0, -3) is y = -(1/2)x - 3
The equation of the line going through (0, 3) and (-4, -5) is y = 2x + 3
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The equation of the line going through (-6, 0) and (0, -3) is:
y - 0 = [(-3 - 0) / (0- (-6)](x - (-6))
y = -(1/2)x - 3
The equation of the line going through (0, 3) and (-4, -5) is:
y - 3 = [(-5 - 3) / (-4 - 0)](x - 0)
y = 2x + 3
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Answer: quotient is 2x^2 + 10x - 5
Solution:
The first polynomial is miswritten.
The right one is: 2x^3 + 4x^2 - 35x + 15.
So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)
The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.
So, in this case it is:
3 | 2 4 -35 15
---------------------------------
2 10 - 5 0
So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.
I like to show it in this other way:
| 2 4 -35 15
|
|
3 | +6 +30 -15
--------------------------------
2 10 - 5 0
Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
Answer:
a) P(2)=0.270
b) P(X>3)=0.605
c) P=0.410
Step-by-step explanation:
We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:
a) In this case:
Therefore, the probability is P(2)=0.270.
b) In this case:
Therefore, the probability is P(X>3)=0.605.
c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.
In this case:
Therefore, the probability is P=0.410.
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