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bezimeni [28]
2 years ago
7

Find the 20th term of the arithmetic sequence 15,9,3,-3

Mathematics
1 answer:
kati45 [8]2 years ago
3 0

Answer:

-99

Step-by-step explanation:

a = 15 \\ d =  - 6 \\  {n}^{th} term = a + (n + 1)d  = 15 + (n - 1)( - 6) \\  {20}^{th} term =15 + (20 - 1)( - 6) = 15 - 114 =  - 99

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Answer:  (2,2)

Step-by-step explanation:

1. Substitute y=0 into first equation and solve for "x" in order to find the x-intercept of the first line:

0=-\frac{1}{2}x+3\\\\-3=-\frac{1}{2}x\\\\(-3)(-2)=x\\\\x=6

2. Substitute x=0 into the first equation and solve for "y" in order to find the y-intercept of the first line:

y=-\frac{1}{2}(0)+3\\\\y=3

Knowing that first line passes through the points (6,0) and (0,3), you can graph it.

3. Substitute y=0 into second equation and solve for "x" in order to find the x-intercept:

0=2x-2\\\\2=2x\\\\x=1

4. Substitute x=0 into the second equation and solve for "y" in order to find the y-intercept of the second line:

y=2(0)-2\\\\y=-2

Knowing that second line passes through the points (1,0) and (0,-2), you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

(2,2)

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3 years ago
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Step-by-step explanation:

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2 years ago
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4 0
3 years ago
What is (1.2 x 10^-2) x (3 x 10^5)
liraira [26]

Answer:

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Step-by-step explanation:

(1.2 x 10^-2) x (3 x 10^5)

When we multiply terms with powers , we multiply the factors out front and add the exponents

a * 10^b  * c* 10^d = ac * 10^(b+d)

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6 0
3 years ago
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Svetlanka [38]

Answer:

a)45º

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Step-by-step explanation:

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