Given:
The function that represents how the amount of fuel changes as a function of distance flown is
[tex]f(x)=-0.9x+665[/tex]
where x represents miles flown, and f(x) represents the amount of fuel remaining.
To find:
The rate of change for this scenario.
Solution:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope or rate of change and b is the y-intercept.
We have,
[tex]f(x)=-0.9x+665[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-0.9[/tex]
Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.
The roof of Mr. Thompson’s house is blank feet high to climb on top of his house healing a 13 foot ladder against the roof of his house in place is the base of the latter 5 feet from the house
Answer:
12 i think
Step-by-step explanation:
Write the following numbers in order of size start with the smallest. 0.32 0.4 0.35 0.309
Answer:
Hey!
0.309<0.32<0.35<0.4
hope this helps you
The numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.
What are Decimal Numbers?The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system.
The given number can be arranged from smallest to largest can be arranged as shown below. Therefore, we can write,
0.309 < 0.32 < 0.35 < 0.40
Hence, the numbers in order of size start with the smallest can be done as 0.309 < 0.32 < 0.35 < 0.40.
Learn more about Decimal Numbers here:
https://brainly.com/question/4708407
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What is the value of x?
Enter
X :
(Look at the photo)
Answer:
x = 20
Step-by-step explanation:
Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.
3x + 50 = 6x - 10
Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.
50 = 3x - 10
Move the 10 to the left by adding it to both sides.
60 = 3x
Divide the 3 from both sides to isolate the x.
x = 20
Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.
3(20) + 50 = 6(20) - 10
110 = 110
help please!!
Find the missing length indicated. Round to the nearest hundredth (two decimal places), if needed.
26 I think (i'm not sure please correct me.)
What is the measure of arc AC? Pls explain and I will mark brainliest!
Answer:
D. 146°Step-by-step explanation:
Arcs in the circle sum to 360°
Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°answer please i really need help if you get it right you get brainlyest
Simplify expression below (7 + i)-(6-4)
Answer:
5 + i
Step-by-step explanation:
Answer:
5+i is the answer
Step-by-step explanation:
cause 6-4=2-7=5+i
HELP 10 POINTS ===== NEED HELP NOW
What is the value of 0.1562 rounded to the nearest hundredth place?
Answer:
0.16
Step-by-step explanation:
The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation: