Answer:
Step-by-step explanation:
<h3>AP given</h3>
<h3>To find</h3>
<h3>Solution</h3>
Common difference
<u>Difference of first two</u>
- d = (a -b) - (a + b) = -2b
<u>Difference of second two</u>
<u>Difference of last two</u>
<u>Now comparing d:</u>
- -2b = ab - (a - b)
- ab - a = - 3b
- a(1 - b) = 3b
- a = 3b/(1 - b)
and
- a/b - ab = -2b
- a(1/b - b) = -2b
- a = 2b²/(b² - 1)
<u>Eliminating a:</u>
- 2b²/(b² - 1) = 3b/(1 - b)
- 2b/(b+1) = -3
- 2b = -3b - 3
- 5b = - 3
- b = -3/5
<u>Finding a:</u>
- a = 3b/(1 - b) =
- 3*(-3/5) *1/(1 - (-3/5)) =
- -9/5*5/8 =
- -9/8
<u>So the first term is:</u>
- a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40
<u>Common difference:</u>
<u>The 6th term:</u>
- a₆ = a₁ + 5d =
- -69/40 + 5*6/5 =
- -69/40 + 240/40 =
- 171/40 = 4 11/40
Answer:
x -4 -3 -2 -1 0 1 2 3 4
y -54 -20 -4 0 -2 -4 0 16 50
at 4 it is maximum .
maximum value=50
hope that helps
Answer: 70 mph
Step-by-step explanation:
The equivalent value of the expression is -7
<h3>Modulus of a function</h3>
The modulus of an expression of value is equal to the positive of such function or value.
Given the expression
2(2.5 - |-6|)
Since the value of -6 is a modulus, the expression will become;
2(2.5 - |-6|) = 2(2.5) - 2(6)
2(2.5 - |-6|) = 5 - 12
2(2.5 - |-6|) = -7
Hence the equivalent value of the expression is -7
Learn more on equation here: brainly.com/question/2972832
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The correct option is : 2
<u><em>Explanation</em></u>
For finding the mean number of working TV sets, we need to <u>divide the total number of TV sets by the total frequency</u>.
Now for finding the total number of TV sets, first we will <u>multiply each number of TV sets by it's frequency and then sum up all the results</u>.
So, the total number of TV sets
and total frequency 
Thus, the mean number of working TV sets 
