andrewrangel63
12.03.2020 •
Mathematics
Fill in the Blanks
According to the Energy Information Adminstration, the number of thousands of barrels of crude oil that is imported to the United States each day from Canada x years after 1973 can be approximated by the the following function.
c(x)= 2.0752x^2-22.506x+754.43
a. Appoximately how many thousands of barrels of crude oil were imported to the United States from Canada each day in 1973?
thousands (Do not round.)
b. In approximately what year, was the minimum number of barrels of crude oil imported? (Round x to three decimal places.)
x\approx
which is in the year
c. How many thousands of barrels of crude oil were imported in the year found in part (b)?
thousands of barrels (Round to three decimal places.)
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Ответ:
a.) 754.43
b.) 5.423
c.) 693.409
Step-by-step explanation:
a.) They asked for the amount of barrels imported in 1973, which is pretty much the y-intercept, so just substitute the x-values for 0 and solve which you'll get 754.43.
b.) To get the answer for this question substitute the values into the vertex formula which is, -b/2(a). The substitution would be -(-22.506)
2(2.0752)
When you simplify then you'll get 5.423 rounded and the year would be 1978 because you would add the 5 years to the original 1973.
c.) To find this answer the x-values for the 5.423 and you'll get 693.409 rounded.
Substituted: 2.0752(5.423)^2-22.506(5.423)+753.43
Ответ: