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Vikentia [17]
3 years ago
5

Write the explicit rule for this arithmetic sequence 9,12,15,18…

Mathematics
1 answer:
MArishka [77]3 years ago
4 0

Answer:

an=9+(n−1)3, an=3n+6

Step-by-step explanation:

Arithmetic Sequence:

d=3

This is the formula of an arithmetic sequence.

an=a1+d(n−1)

Step 1: Substitute in the values of

a1=9 and d=3.

an=9+(3)(n−1)

Step 2: Simplify each term.

an=9+3n−3

Step 3: Subtract 3 from 9.

an=3n+6

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Select the correct answer.
ValentinkaMS [17]

Answer:

The answer is A.

g(x) = 2( {x}^{2}  - 3x - 28)

7 0
3 years ago
How does a balance sheet work?
Phoenix [80]

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8 0
3 years ago
A circle is translated 4 units to the right and then reflected over the x-axis. Complete the statement so that it will always be
Natali [406]

Options

The circle at the new location has _____________ the original circle.

- the same center as

- twice the circumference of

- half the radius of

- the same area as

Answer:

the same area as

Step-by-step explanation:

When a circle is translated and reflected, the center of the circle will change; however, its area, circumference, radius and diameter remain the same.

This is so because, translation and reflection only affect the positioning of the circle not the size.

Considering the above analysis, we can conclude that option d answers the question correctly.

8 0
4 years ago
Given:  m∠p =47BD∥AC <br> What is the m∠m?<br><br> Put only the number. Do not label your answer.
Anettt [7]

Answer: 43\°

Step-by-step explanation:

Observe the given figure.

You can identify that the measure of the angle "B" is:

m\angle B=90\°

Knowing this, you can conclude that the angle "p" and the angle "m" are Complementary angles, which means that the sum of their measures is 90 degrees. Then, you can write the following equation:

m\angle p+m\angle m=90\°   [Equation 1]

You know that:

m\angle p=47\°

Then you can substitute it into the [Equation 1] and then solve for m\angle m. Therefore, you get:

 47\°+m\angle m=90\°\\\\m\angle m=90\°-47\°\\\\m\angle m=43\°

3 0
3 years ago
|5x-4|&gt;16 solutions
lions [1.4K]

Answer:

x >4                         or            x < -12/5

Step-by-step explanation:

An absolute value has 2 solutions, a positive and a negative.  Remember to flip the inequality for the negative solution

|5x-4|>16

5x-4 > 16        5x-4 < -16

Add 4 to each side

5x-4 +4> 16+4   or     5x-4+4 < -16+4

5x > 20                or        5x < -12

Divide each side by 5

5x/5 > 20/5          or         5x/5 < -12/5

x >4                         or            x < -12/5

5 0
3 years ago
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