Answer:
3 blocks east
5 blocks south
Step-by-step explanation:
Hope it helps
<span>(x + 8) (x + 6) = 160
x² +6x +8x +48 = 160
</span>x² +6x +8x +48 - 160 =0
<span>x² +14x -112=0
You have to calculate the discriminant.
(Please mark be brainliest)
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Answer:
28 students
Step-by-step explanation:
Work backwards.
First, subtract 3:
115 - 3 = 112
Then, divide by 4:
112 ÷ 4 = 28
So, there are 28 math students in his class.
Answer:
d: -49 is your Answer!
Step-by-step explanation:
a: = 36
b: = 1/9
c: = 0.25
d: = - 49
Answers:
The series converges
The sum is -8/3
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a = -4 is the first term
r = -1/2 is the common ratio
the reason why is because the expression -4(-1/2)^(n-1) is in the form a(r)^(n-1). Notice how -4 matches with the 'a'; the -1/2 matches with the r
The common ratio will determine if the infinite series converges or not.
r = -1/2 leads to |r| = |-1/2| = 1/2 = 0.5
Since |r| < 1 (in this case 0.5 < 1) is true, this means the series does converge.
Put another way, because r = -1/2 = -0.5 makes -1 < r < 1 true, the series converges.
Use the formula below to find the converging value S
S = a/(1-r)
S = -4/(1-(-1/2))
S = -4/(1+1/2)
S = -4/(2/2+1/2)
S = -4/(3/2)
S = (-4/1)/(3/2)
S = (-4/1)*(2/3)
S = (-4*2)/(1*3)
S = -8/3
The infinite series converges to -8/3
So the sum is -8/3
