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horrorfan [7]
3 years ago
11

Help !!!! due today!!! #5 and #6

Mathematics
1 answer:
Nitella [24]3 years ago
4 0
Your #5 solution is already correct.
A linear function has the form y=mx+b
you have noticed that y increases by 5 for every 10 steps along x. Therefore, your slope m is 5/10=1/2.
b is your y value at x=0
so y=(1/2)x+5

Additionally, you can calculate it with 2 points
using (10, 10) and (20, 15) and the elimination method just inserting x and y into the basic form
I:10=10m+b
II:15=20m+b
subtraction of II from I:
-5=-10m
-1=-2m
->m =1/2
insert this in I again:
10=10*(1/2)+b
10=5+b
5=b
again y=(1/2)x+5
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When 18 is added to 6 times a certain number the result is 168. what is the number
Vlad1618 [11]
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4 years ago
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sertanlavr [38]

Answer:

33/20

Step-by-step explanation:

1/12 - 1/15 = 5/60 - 4/60 = 1/60

d = 1/60

a_n = a_1 + d(n - 1)

a_11 = 1/15 + (1/60)(11 - 1)

a_11 = 1/15 + 1/6

a_11 = 4/60 + 10/60

a_11 = 14/60

a_11 = 7/30

a_12 = 14/60 + 1/60

a_12 = 15/60

a_12 = 1/4

s_n = n(a_1 + a_n)/2

s_11 = 11(1/15 + 7/30)/2

s_11 = 11(2/30 + 7/30)/2

s_11 = 11(9/30)/2

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3 years ago
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Find four consecutive integers with the sum of -142
Akimi4 [234]

n, n + 1, n + 2, n + 3 - four consecutive integers

-142 - the sum

The equation:

n + (n + 1) + (n + 2) + (n + 3) = -142

n + n + 1 + n + 2 + n + 3 = -142

4n + 6 = -142     |subtract 6 from both sides

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Answer: -37, -36, -35, -34.

5 0
3 years ago
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