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
Ipatiy [6.2K]
3 years ago
12

The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0
<span>Part A: What do the x-intercepts and maximum value of the graph represent?

There are two x-intercepts: x = 0 and x = 36

Those values are the points at which the height of the tunnel is 0.

That means that the width of the tunnel at the ground level is 36 - 0 = 36.

The maximum value of the graph is 32, at x= 18. That, represents that at the center, x= 18,  the tunnel has a height of 32.

What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)

The interval where the function is increasing is (0,18) and the interval where teh function is decreasing is (18,36)

That represents that the height starts to increase with the distance (from 0 to 18) reaches a maximum of 32, at x = 18, and starts to decrease with the distance until x = 36.

Part B: What is an approximate average rate of change of the graph from x = 5 to x = 15, and what does this rate represent? (4 points)

The average rate of change from x = 5 to x = 15 is the change in height divided by the change in distance

=> average rate of change = Δy / Δx

Δy ≈ 31 -14  = 17

Δx = 15 - 5 = 10

=> Δy / Δx ≈ 17 / 10 = 1.7

</span>
You might be interested in
Find the value of x.
Otrada [13]

Answer:

Step-by-step explanation:

<em>T</em><em>he algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.</em>

8 0
3 years ago
Find the area of the following figure and write your result in the empty box.<br> ​<br> ​
Sunny_sXe [5.5K]

Answer:

Area = 406

Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

14 x 5 = 70

Now add:

336 + 70 = 406

So the area is 406

5 0
2 years ago
Please show work!!!!!!!!!!!!
Svetlanka [38]

Answer:

x = 7

Step-by-step explanation:

Notice that in the triangle, the angle is either known or in terms of x. This means we can make an equation: 82 + (9x - 6) + (6x - 1) = 180. Now, add up tthe terms to get 15x + 75 = 180, or 15x = 105 or x = 7.

5 0
3 years ago
The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are
nevsk [136]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let them number of girls be y

Then they number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

The number of girls is 11

4 0
2 years ago
What metric unit would you use to measure the length of a football field?
Sati [7]
Meters, yards are not in the metric system

3 0
3 years ago
Other questions:
  • Bomdas can someone help me with this 32-7×4+42÷6×3
    11·2 answers
  • A 14-foot ladder makes a 62 degree angle with the ground. To the nearest foot, how far up the house does the ladder reach?
    12·1 answer
  • What is the domain of the function g(x) = 52x? x &gt; 0 x &lt; 0 all real numbers all positive real numbers
    8·2 answers
  • If f(x)=x2+10sinx, show that there is a number c such that f(c)=1000.
    11·1 answer
  • 7b + 3, -4b + 5, and -3b + 2<br><br> 10b + 2<br> 10<br> 0<br> b - 8
    5·1 answer
  • Ann and Betty together have $60. Ann has $9 more than twice Betty's amount. How much money does each have?
    11·1 answer
  • February 2, the temperature at 11 AM was 5°F. At
    9·1 answer
  • Sy= 2x² - 6x+8<br> y=-2|x-1| +9<br> Solve plz
    15·1 answer
  • Only two percent of the world has<br> green eyes. Write 2% as a decimal.
    14·2 answers
  • In circle O, BC = 17 and DC = 30. The diagram is not drawn to scale.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!