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Tema [17]
3 years ago
6

Solve the equation: 2x + B= C X=

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0
Add (-2X) to both sides:
2X + B + (-2X) = C + (-2X)
If we (rearrange) it into B + 2X + (-2X) = C + (-2X)
B + 2X - 2X = C + (-2X)
Since +2X - 2X = 0
B + 0 = C + (-2X)
B = C + (-2X)
B = C - 2X
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A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?
aleksley [76]

Answer:

  1. The sequence is an Arthemtic Progression

An=A1+(n-1)d

A1 is first term, An is nth term, n is number of term, and d is common difference

therefore

A4=35, A1= -17

A4=A1+(4-1)d

35= -17+3d

35+17=3d

52=3d

52/3=3d/3

14=d

common diffrence(d)=14

  • The general solution is given by

An= -17+(n-1)14

An= -17+14n-14

An= -31+14n

<u>An= 14n-31</u>

A14 term, means n=14

From An=A1+(n-1)d

A14= -17+(14-1)14

= -17+(13×14)

= -17+182

= 165.

<u>Therfore, the 14th term is 165.</u>

2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?

<u>solution</u>

common ratio(r)=4/5

eighth term(G8)=393216/3125

From Gn= G1r^(n-1)

G8 means n=8

G8=G1r^(n-1)

393216/3125=G1(4/5)^(8-1)

393216/3125=G1(4/5)^7

G1=(393216/3125)/(4/5)^7

G1=600

<u>The first term is given by G1=600</u>

  • Therefore

The General equation is given by

The General equation is given by Gn= 600(4/5)^(n-1)

3rd term (G3)

G3= G1(4/5)^(3-1) where n=3,

=600(4/5)^2

=600(16/25)

=384

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3 years ago
What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)?
myrzilka [38]

Answer:

Step-by-step explanation:

(3-7)/(-2+1)= -4/-1= 4

y - 7 = 4(x + 1)

y - 7 = 4x + 4

y = 4x + 11

4 0
3 years ago
Find an orderd pair (x,y) that is a solution to the equation 4x+y=9
Aleksandr [31]

Answer:

Below in bold.

Step-by-step explanation:

4x + y = 9

Let's put x = 0 then:

4(0) + y = 9

0 + y = 9

y = 9

So one. ordered pair that is a solution is (0, 9)

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Just work out 500 takeaway 137
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Since the average height is 60 inches and its deviation is 2 inches, one deviation to the right (or higher) is 62 inches (60 + 2). Two deviations is 64 inches, three deviations is 66 inches, and four deviations is 68 inches.


Since the average weight is 100 pounds and its deviation is 5 inches, we repeat the process from finding heights to get to 115 pounds. That takes three deviations.


The MORE deviations away, the more unusual it is. So the height (4 deviations) is more unusual than the weight (3 deviations).

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3 years ago
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