Answer:
21. Line b.
22. Line a.
Step-by-step explanation:
Line b is the most steep because it goes up 5, the rest goes up only 1 and 3
Line a is the least steep because it only goes up 1, while the rest go up more
Answer:
a. The common ratio is 0.5
b) The value of the first term is 29
c) The sum of the first 5 terms is 56.1875
Step-by-step explanation:
The nth term of the geometric sequence is a = a, where
The sum of the nth term is S =
∵ The second term of a geometric sequence is 14.5
∴ n = 2
∴ a = 14.5
∵ a = ar
→ Equate the right sides of a by 14.5
∵ ar = 14.5 ⇒ (1)
∵ The fifth term is 1.8125
∴ n = 5
∴ a = 1.8125
∵ a = a
→ Equate the right sides of a by 14.5
∵ a = 1.8125 ⇒ (2)
→ Divide equation (2) by equation (1)
∵ =
∴ r³ = 0.125
→ Take ∛ for both sides
∴ r = 0.5
a. The common ratio is 0.5
→ Substitute the value of r in equation (1) to find a
∵ a(0.5) = 14.5
∴ 0.5a = 14.5
→ Divide both sides by 0.5
∴ a = 29
b) The value of the first term is 29
∵ n = 5
∴ S =
∴ S = 56.1875
c) The sum of the first 5 terms is 56.1875
Answer:
4y^2-y+21
Step-by-step explanation:
Answer:
<u><em>I want brainliest</em></u>
Step-by-step explanation:
7.6 x 8 = 60.8
so the answer is either b or c
7.6 per hour
or
7.6h
makes the answer b
Answer: y = -3(x + )² + , ,
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² +
y - 1 + -3() = -3(x² + + )
↑ ↓ ↑
=
y - 1 - = -3(x + )²
y - - = -3(x + )²
y - = -3(x + )²
y = -3(x + )² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex = ,