0.25x² + 8.5 - 17 = 0
1)
a = 0.25
b = 8.5
c = -17
2)
- 8.5 ± √(8.5)²-4(0.25) (-17)
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2(0.25)
3)
-34 ± √1428
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2
4)
-35.894 and 35.894
Answer:
1+1 x 2x2+6x5 = 35
5*7*6*8 = 1680
Step-by-step explanation:
Order of operation
1+1 x 2x2+6x5 = 1 + 2*2 + 30 = 1 + 4 + 30 do the multiplication first from left to right
then
1 + 4 + 30 = 5 + 30
5+30 = 35 after doing addition
so
1+1 x 2x2+6x5 = 35
5*7*6*8 = 35*48 = 1680
5*7*6*8 = 1680
They are both 40°. This is bc 180-65-75=40
Answer:
Leo is 11 years old
Step-by-step explanation:
* Lets explain how to solve the problem
- Alea is 5 times 3 less than leo's age
- Alea is 40 years old
- Assume that leo's age is x
* Lets change the words to equation
∵ Leo is x years old
∵ Alea is 5 times 3 less than Leo's age
- That means when we subtract 3 from Leo's age and multiply the
difference by 5 the result is Alea's age
∴ Alea's age = 5(x - 3)
- Multiply the two terms of the bracket by 5
∴ Alea's age = 5x - 15
∵ Alea is 40 years old
- Equate the expression of Alea's age by her age
∴ 5x - 15 = 40 ⇒ the equation to find Leo's age
- Add 15 to both sides
∴ 5x = 55
- Divide both sides by 5
∴ x = 11 ⇒ the solution of the equation
∵ x represents the Leo's age
∵ x = 11
∴ Leo is 11 years old
Answer: The correct option is
(D) The sequence is not arithmetic because the terms do not have a common difference.
Step-by-step explanation: We are given to select the true statement regarding the sequence that is graphed in the figure.
From the graph, we see that some of the points are (1, 1), (2, 4), (3, 9), (4, 16), (5, 25).
That is, if we write the graphed points in terms of a sequence <a(n)>, then we get
The sequence <a(n)> will be arithmetic if the difference between the consecutive terms is equal. That is, the terms should have a common difference.
Now,
This implies that the terms do not have a common difference and so the graphed function does not represent an arithmetic sequence.
Thus, the sequence is not arithmetic because the terms do not have a common difference.
Option (D) is CORRECT.
