Graph y - 5 = - 2/3 (x + 9) using the point and slope given in the equation.
2 answers:
Answer:
Please find the attachment.
Step-by-step explanation:
We are asked to graph the equation .
We know that point-slope form of an equation is in form , where, m represents slope of line and
is a point on the line.
We can see that slope of the line is , so line will be a decreasing line.
We can represent the given equation as .
The line will pass through the point .
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<h2>Answer:</h2><h3>1) 
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</h3><h3 /><h2>Step-by-Step Explanation:</h2><h3 /></h3><h3 />
1.<em> </em>Find the probability of rolling less than a four.
<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6
<u>Outcomes lower than four</u> = 1, 2, 3
Then to answer it you need the probability in the form of a fraction.
simplifies into
2. Find the probability of rolling an even prime number.
<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6
<u>Prime Numbers Through 1-6</u> = 2, 3, 5
<u>Even Prime numbers Through 1-6</u> = 2
So the probability in the form of a fraction.
<h3>3. Find the probability of rolling factors of 20.
<u>Probability Outcomes</u> = 1, 2, 3, 4, 5, 6
<u>Factors of 20 Through 1-6</u> = 1, 2, 4, 5
So probabilty in the form of a fraction.
simplifies into
Answer:
where a>0.
To graph the the polynomial, begin in the left top of quadrant 2. Then draw downwards to the first real zero on the x-axis at -2. Cross the x-axis and then curve back up to 1/2 on the x-axis. Cross through again and curve back down to cross for the last time at 3 on the x-axis. The graph then ends going down towards the right in quadrant 4. It forms an s shape.
Step-by-step explanation:
The real zeros are the result of setting each factor of the polynomial to zero. By reversing this process, we find:
- zero -2 is factor (x+2)
- zero 1/2 is factor (2x-1)
- zero 3 is factor (x-3)
We write them together with an unknown leading coefficient a which is negative so -a.
where a>0
The leading coefficient of a polynomial determines the direction of the graph's end behavior.
- A positive leading coefficient has the end behavior point up when an even degree and point opposite directions when an odd degree with the left down and the right up.
- A negative leading coefficient has the end behavior point down when an even degree and point opposite directions when an odd degree with the left up and the right down.
- This graph has all odd multiplicity. The graph will cross through the x-axis each time at its real zeros.
To graph the the polynomial, begin in the left top of quadrant 2. Then draw downwards to the first real zero on the x-axis at -2. Cross the x-axis and then curve back up to 1/2 on the x-axis. Cross through again and curve back down to cross for the last time at 3 on the x-axis. The graph then ends going down towards the right in quadrant 4. It forms an s shape.