A radio station broadcasts a signal over an area with a 120-mile diameter. The population density of the area is 100 people per
2 answers:
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Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.
<h3>What is the vertex of a quadratic equation?</h3>A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the precipitation each month x in Phoenix is given by:
Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:
Hence during the month of May.
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
Answer:
The ac product of is <u>420</u>.
The factors of the ac product that add to 41 are <u>20</u> and <u>21</u>.
Step-by-step explanation:
1) The general form of a quadratic is . Hence, multiplying 35 by 12 gives you the product of ac, which is 420.
2) We need to find two numbers that multiply to 420 and add up to 41 <u>simultaneously</u>. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.
3) Write as a sum.
Now, we can factor them out by grouping.
Since, is common in both of the factors, we only take one of the
along with
and
.