Question 11 :
the equations are :
now, let's graph the lines ~
As you can see in the attachment, The lines coincides each other, so the equations are :
- consistent and dependent
What GPA do you need to pass 8th grade
2 answers:
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Answer:
Our two intersection points are:
Step-by-step explanation:
We want to find where the two graphs given by the equations:
Intersect.
When they intersect, their <em>x-</em> and <em>y-</em>values are equivalent. So, we can solve one equation for <em>y</em> and substitute it into the other and solve for <em>x</em>.
Since the linear equation is easier to solve, solve it for <em>y: </em>
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Substitute this into the first equation:
Simplify:
Square. We can use the perfect square trinomial pattern:
Multiply both sides by 16:
Combine like terms:
Isolate the equation:
We can use the quadratic formula:
In this case, <em>a</em> = 25, <em>b</em> = -22, and <em>c</em> = -159. Substitute:
Evaluate:
Hence, our two solutions are:
We have our two <em>x-</em>coordinates.
To find the <em>y-</em>coordinates, we can simply substitute it into the linear equation and evaluate. Thus:
And:
Thus, our two intersection points are:
Answer:
outcomes for this sample space (under some considerations)
Step-by-step explanation:
Let's define the multiplication principle.
If a first part of an experiment can happen in n1 ways, a second part of an experiment can happen in n2 ways , . . . , a i - part of an experiment can happen in ni ways, then the total outcomes for the all the experiment are
(n1) x (n2) x ... x (ni)
In this exercise n1 = domestic
n1 is the total classes for domestic category
(Let's suppose n1 = 3 because of Chevrolet, Ford and Chrysler)
n2 = 1 (Also supposing we only have ''a Toyota built in Japan'' category for n2)
n3 = 1 (Also supposing we only have ''A Toyota built in Kentucky'' category for n3)
n4 = 4 (Also supposing we only have ''sedan,hatchback, truck or SUV'' category for n4
The possible outcomes for one person in the experiment are
Where what it is brackets are the possible categories for that classification.
We have 20 different people then are the possible outcomes sample space
In the sample space there are outcomes if we consider that we have 3 types of domestic car, 1 type of foreign car built abroad,1 type of foreign car built in the U.S and 4 differents styles for this 20 different people.