Convert y = 8x^2-80x-32 to vertex form by completing the square.
2 answers:
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Answer:
x-intercept:
A line that crosses the graph at x-axis.
i.e substitute y = 0 and solve for x.
As per the statement:
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water
Given the graph:
Substitute y = 0 we have;
⇒
⇒
⇒
⇒
⇒
By zero product property we have;
x-20 =0 and x+10 = 0
⇒x = 20 and x = -10
Therefore, the x-intercept represents the water has no larvae at −10 degrees Celsius and 20 degrees Celsius.
Answer:
Gallons of gas use for work and errands is <u>10</u>.
Step-by-step explanation:
Given:
Jack purchases 12 gallons of gas on Monday. He uses 2/3 of the amount purchased commuting to and from work during the week and an additional 2 gallons running errands.
So, to find the gallons of gas Jack use for work and errands:
Now, to get the amount of gas used to and from work during the week
.
Additional 2 gallons of gas running errands.
Now,<em> total gallons of gas use for work and errands = 8 gallons + 2 gallons</em>
<em> = 10 gallons.</em>
Therefore, gallons of gas use for work and errands is 10.