(a) Truck carries 90 gallons of diesel fuel to 660 miles.
So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.
30 gallons of diesel fuel to = 220 miles.
Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.
Join (660, 90) and (220, 30), we get the graph of a line.
Note that (0, 0) is also a point on the line.
Equation of the line is .
(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].
Hence, the domain of the function is [0, 660].
(c) Origin represents that the truck is not moving and there is no diesel fuel loaded in the truck.
The hours it would take to type 3.2 x 10^5 words is 1.33 x 10^2 hours.
<h3>How many hours would it take to
type 3.2 x 10^5 words?</h3>
Standard form is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number.
In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example: 1 x 10² is equivalent to 100
The first step is to determine how many words he can type in 1 hour : 40 x 60 = 2400 words = 2.4 x 10³
The second step is to divide 3.2 x 10^5 words by 2.4 x 10³
3.2 x 10^5 ÷ 2.4 x 10³ = 1.33 x 10^(5 - 3)
1.33 x 10^2 hours
To learn more about standard form, please check: brainly.com/question/25334755
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don't quote me on this but I'm pretty sure it's H multiplication property of inequality
Answer:
Step-by-step explanation:
tan (40) = x/12
x = 12*tan(40)
Answer:
2x^2+23.
Step-by-step explanation:
Combine like terms.
This expression simplified is 2x^2+23.
