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wariber [46]
3 years ago
9

Function or not? I will give you brainliest Pls help, Thank you

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0
Function:)hope this helped
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Find Sn for the arithmetic series 5+7+9 + … and determine the value of n for which the series has sum 165.
SVETLANKA909090 [29]

Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

S_{n} = \frac{n}{2}[(2 × 5) + 2(n - 1) ]

                        = \frac{n}{2}(10 + 2n - 2)

                        = \frac{n}{2}(2n + 8)

                        = n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

(n + 15)(n - 11) = 0 ← in factored form

equate each factor to zero and solve for n

n + 15 = 0 ⇒ n = - 15

n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11



4 0
3 years ago
Tom bought 3 adult movie tickets and 8 child tickets. If adult tickets cost $9.00 each and child tickets cost $5.00, what is the
defon

Answer:

the total cost is $67

Step-by-step explanation:

9 × 3 = 27 8 × 5 = 40 40 + 27 = $67

5 0
3 years ago
(Don't look at the bottom part)
8_murik_8 [283]
To find the area of a rectangle, multiply its length by its width. I suggest you use a calculator for accuracy in multiplication. Hope this helped!
4 0
3 years ago
Read 2 more answers
Pls help i will give 5 starts and brainliest question is down below 9:22
OleMash [197]

4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.

5) B

Area of a triangle = ½ bh.

where b = base &

h = height.

Area of outer shape = (½ x 16 x 12) in^2.

= 96 in^2.

Area of unshaded inner shape = (½ x 3 x 4) in^2.

= 6 in^2.

Area of shaded region = (96 – 6) in^2.

= 90 in^2.

4 0
2 years ago
Explain Washington's choices regarding the Battle of Trenton and why he needed to make such a tough choice
evablogger [386]

Answer:

They gave Americans confidence that victory over Britain was possible. You are welcome. :)

Step-by-step explanation:

7 0
3 years ago
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