18a is correct, 18b is incorrect, 18c is correct, 18d is false, 18e is false, 18f is true, 19 is incorrect.
Answer: the average distance between the parabola is 2000
Step-by-step explanation:
Given that;
y = 30x(20 - x) and the x-axis on the interval [0, 20]
f(x) = y = 30x(20 - x); [0, 20] and a=0, b=20
the average distance between the parabola will be
Average value = 1/20-0 ²⁰∫₀ 30x(20-x) dx
= 1/20 ²⁰∫₀ (600x-30x²) dx
= 1/20 [(600x)/2 - (30x³)/3]₀²⁰
= 1/20 [300x - 10x³]₀²⁰
inputting the limits, we get
= 1/20 [(300 × 20 × 20 - 10 × 20 × 20 × 20) - 0 - 0]
= 1/20 ( 120000 - 80000)
= 0.05 × 40000
<h2>= 2000</h2>
Therefore the average distance between the parabola is 2000
<h3 />
Answer:
(-5,3)
Step-by-step explanation:
<em><u>Method</u></em>
There are several ways you can do this, but one of the best ways is to use a graphing coordinate calendar. The most popular one is Desmos Graphing Calculator. I've attached an image of my work below using the system.
<u><em>Answer</em></u>
As you can see, both equations intersect at a certain coordinate point. This coordinate point is the point you need for the answer. The intersection is (-5,3).
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:
x=4
Step-by-step explanation:
Because 4 to the power of 2 is 16.
Then, you subtract: 16x - 7x
Then, what you are going to see is 9x=3x+24
So, you subtract: 9x - 3x
Finally, you will have 6x=24... You divide: 24/6 and the answer is x=4.
Answer:
Step-by-step explanation:
