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bogdanovich [222]
3 years ago
9

The highway mileage m in miles per gallon for a compact car is approximated by m(s) = -0.025s^2 + 2.45s - 30, where s is the spe

ed in miles per hour. What is the maximum mileage for this compact car to the nearest tenth of a mile per gallon? __________ mi/gal.
Mathematics
1 answer:
Over [174]3 years ago
6 0
The maximum mileage per gallon for the compact car is determined by taking the first derivative of the given equation and equate to zero. The differentiated form is m's = -0.05 s + 2.45 = 0; s is equal to 49 seconds. substituting this s, m is equal to 30.025 miles/gallon.
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In 1980, the number of high school dropouts in a country was 5217 thousand. By 2008, this number had decreased to 3120 thousand.
Veseljchak [2.6K]

Answer:

74893 students per year

Step-by-step explanation:

The Average rate of change is calculated as

= Difference in number of students / Difference in years

= 3120 thousand - 5217 thousands/ 2008 - 1980

= (3120000 - 5217000)/(2008 - 1980)

= -2097000/28

= -74892.857143 per year

Therefore, the average rate of change

per year in the number of high school dropouts is approximately 74893 students per year

8 0
3 years ago
A train travels 600 kilometers in 1 hour. What is the trains velocity in meters/seconds?
bixtya [17]

Answer:

166.666667 m/ps

Step-by-step explanation:

600/60 will give us the amount of kilometers in a minute. 10 km/ph, now i'll divide more to find the seconds. 0.166666667 this is the amount of KILOMETERS in a second, we are trying to find in meters. multiply by 1000 and 166.666667. a fast fricking train if you ask me.

8 0
3 years ago
Divide tens,hundreds,and thousands
Pavel [41]

Answer:

of what?

Step-by-step explanation:

6 0
3 years ago
5×=15+10y,3×+7y=31 it's for tomorrow pls​
Katarina [22]

Answer:

x = 6.39, y = 1.69 is the solution of the given equation system.

Step-by-step explanation:

Here, the given set of equation is:

5 x = 15 + 10 y  ⇒ 5 x - 10 y = 15   ...... (1)

3 x +7 y = 31   ............. (2)

Now, the coefficient of x in first equation id 5 and in second  is 3.

So, MULTIPLY (1) with 3 and (2) with -5 , we get:

15 x - 30 y = 45

-15 x- 35 y = -155

<u>ADD BOTH EQUATIONS ,</u> we get:

15 x - 30 y  -15 x- 35 y = 45 - 155

or, -65 y  = -110

or, y = 110/65 = 1.69

Put y  = 1.69 in 3 x +7 y = 31 , we get:

3(x) +  7 (1.69) =31

⇒ 3 x = 19.17 or x = 6.39

Hence, x = 6.39, y = 1.69 is the solution of the given equation system

3 0
3 years ago
How can you use equations to model problems about unknown numbers?
Aleks04 [339]

To set up or model a linear equation to fit a real-world application, we must first determine the known quantities and define the unknown quantity as a variable. Then, we begin to interpret the words as mathematical expressions using mathematical symbols. Let us use the car rental example above. In this case, a known cost, such as $0.10/mi, is multiplied by an unknown quantity, the number of miles driven. Therefore, we can write

0.10

x

. This expression represents a variable cost because it changes according to the number of miles driven.

If a quantity is independent of a variable, we usually just add or subtract it according to the problem. As these amounts do not change, we call them fixed costs. Consider a car rental agency that charges $0.10/mi plus a daily fee of $50. We can use these quantities to model an equation that can be used to find the daily car rental cost

C

.

C

=

0.10

x

+

50

When dealing with real-world applications, there are certain expressions that we can translate directly into math. The table lists some common verbal expressions and their equivalent mathematical expressions.

8 0
3 years ago
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