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krek1111 [17]
3 years ago
13

Which choice is the common difference between the terms of this arithmetic sequence?4x + 7y, 8x + 2y, 12x + -3y, 16x - 8y, 20x -

13y, ...
A.4x - 5y
B.-5x - 4y
C.4x + 5y
D.5x + 4y
E.5x - 4y
Mathematics
1 answer:
matrenka [14]3 years ago
5 0
A1=4x+7y
a2=8x+2y
a3=12x-3y
a4=16x-8y
a5=20x-13y

a2-a1=(8x+2y)-(4x+7y)=8x+2y-4x-7y→a2-a1=4x-5y
a3-a2=(12x-3y)-(8x+2y)=12x-3y-8x-2y→a3-a2=4x-5y
a4-a3=(16x-8y)-(12x-3y)=16x-8y-12x+3y→a4-a3=4x-5y
a5-a4=(20x-13y)-(16x-8y)=20x-13y-16x+8y→a5-a4=4x-5y

<span>The common difference between the terms of the arithmetic sequence is 4x-5y

Answer: Option A. 4x-5y</span>
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Step-by-step explanation:

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G(x) = 6 - 2x<br> Find g(-4).
sergeinik [125]

Answer:

\huge \boxed{g( - 4) = 14}

Step-by-step explanation:

g(x) = 6 - 2x

To find g(-4) , substitute the value of x that's - 4 into g(x). That is for every x in g(x) , replace it with - 4

We have

g( - 4) = 6 - 2( - 4) \\  = 6 + 8 \\  = 14  \:  \:  \:  \:  \:

We have the final answer as

<h3>g(-4) = 14</h3>

Hope this helps you

5 0
3 years ago
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -3 2 -9 3 -15 4 -21
aleksley [76]

Answer:

The numbers:

1, -3, 2, -9, 3, -15, 4, -21,

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Step-by-step explanation:

If it was linear:

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8 0
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9966 [12]

Answer:

(-0.2, 2.8)

General Formulas and Concepts:

<u>Algebra I</u>

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Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

6 0
2 years ago
A circle cuts the x-axis at (4,0) and (14,0), and cuts the y-axis at (0,6) and (0,8). Find it's equation
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It is not a circle but you can find the equation of the ellipse.
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Therefore the equation is (x-9)/5 + (y-7)/1 = 1
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3 years ago
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