1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leno4ka [110]
3 years ago
11

The highway mileage m in miles per gallon for a compact car is approximated by m(s) = -0.025s2 + 2.45s - 30, where s is the spee

d in miles per hour. What is the maximum mileage for this compact car to the nearest tenth of a mile per gallon?
Mathematics
1 answer:
kozerog [31]3 years ago
6 0
Highest mileage
m(s) = -0.025s2 + 2.45s - 30
This quadratic equation lokks like a upside down parabolla
So as it is a form of mileage gunction of speed, its maximum value should be K

The "a" in the vertex form "<span>y = a(x – h)2 + k</span>" of the quadratic is the same as the "a" in the common form of the quadratic equation, "<span>y = ax2 + bx + c</span><span>".
</span>

<span>To find the vertex, I look at the coefficients a<span>, </span>b<span>, and </span>c. The formula for the vertex gives me:<span>Y= -0.025s2 + 2.45s - 30
</span><span>h = <span>–b</span>/<span>2a</span> =  -2.45/2× -0.025=49</span><span>Put value of h to get K</span><span>k=-0.025(49)^2+2.45×(49)-30</span><span>k=  -30.025</span><span>k=  -</span>30.0<span>
</span></span>
You might be interested in
Which describes the correlation shown in the scatterplot?
xenn [34]

Answer:

I don't know..

Sorry for spamming...

6 0
3 years ago
Rewrite 9+7=16 using the commutative law of addition
avanturin [10]
Commutative law: a+b=b+a thats it...
So 9+7 can also be written as 7+9=16
3 0
3 years ago
Read 2 more answers
Stacy is measuring milk to make pancake better.The recipe calls for 3/4 of a jug of milk she has 1/4 of a jug now.
julia-pushkina [17]

Answer:

she has 2/4 of the jug left. hope this helped a bit!

Step-by-step explanation:

3/4 - 1/4 = 2/4 or 1/2 (simplified)

8 0
3 years ago
David waits by the crosswalk sign on his way to school. The angle outlined on the sign turns through 50 one-degree angles. Find
mamaluj [8]

Answer:

7\frac{1}{5}th turns

Step-by-step explanation:

An angle that turn through n one-degrees is said to have an angle measure of n degree.  An angle that turns through 1/360 of a circle is called a one degree angle, this is used to measure angles

:. measure of the angle turns through 50 one degree angles

= \frac{360}{50}   =  7\frac{1}{5}th turns.

4 0
3 years ago
Help with this polynomial problem.​
Anastasy [175]

Answer:

i cannt see it

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • What are some ways in which companies can attract and retain employees?
    6·1 answer
  • Someone answer 1-8 please! (Please do help!)<br> QUESTION: Find each quotient.
    9·1 answer
  • How to graph 5x-5y=20
    7·1 answer
  • In triangle GHI, HI=GH, angle IHG=3x+4 and angle IGH=2x-24. What is angle HIG
    7·2 answers
  • Is 4 yards bigger than 13 feet
    14·2 answers
  • PLEASE HELP 15points
    10·1 answer
  • What is number 6.<br><br>A. 4 bracelets per girl <br>B. 2 bracelets per girl ​
    13·1 answer
  • a map with a scale of 0.25 inches = 30 miles, the distance between two cities is 8.3 inches. Find the actual distance between th
    7·1 answer
  • Y=2+ square root of x-8 solve for x
    6·1 answer
  • The sequence consisting of all natural numbers from 25 to 999 is given as follows.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!