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mart [117]
3 years ago
11

Which of the following equations could be used to solve for the tenth term of the following sequence? 15, 13, 11, 9, ...

Mathematics
1 answer:
kifflom [539]3 years ago
6 0
This is an arithmetic sequence, where the first term (a) is 15 and the common difference (d) is -2.
The general formula for the nth term of an arithmetic sequence is:
n_{th\ term} =a+(n-1)d
Therefore the required equation is:
10_{th} \ term=15+(10-1)\times-2
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Which expression is equivalent to (x^2 -8) - (-2x^2+4)?​
Phoenix [80]

Answer:

D) 3x^2 - 12

Step-by-step explanation:

Using PEMDAS;

There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.

We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.

Evaluating "- (-2x^2+4)":

Step 1: Distributing the negative

Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.

Step 2: Consider the rest of the equation to evaluate

Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.

Thus,

x^2 -8 + 2x^2 - 4 = ___

*we can remove the parenthesis as it has no purpose, since it makes no difference.

Evaluating for the answer, we get,

x^2+2x^2 + (-8 - 4) = 3x^2 - 12

Hence, the answer is D) 3x^2 - 12.

3 0
4 years ago
I’m so confused on how to do this -?
ANTONII [103]

Answer:

256

Step-by-step explanation:

any number to the 0 power equals 1, so r^0 equals 1

then, you have (4(1))^4

4×1=4

4^4=256

4 0
3 years ago
Read 2 more answers
Please show your work
Andrei [34K]

Answer:

a = 9

Step-by-step explanation:

a^2 = 41^2 - 40^2

a^2 = 1681-1600 = 81

a = 9

5 0
3 years ago
There are 60 treats. he is allowed 2 treats a day. how many treats will he have left after 10 days?
nydimaria [60]
2 x 10=20 60-20=40. 40 treats left
6 0
4 years ago
R(x) = 2 sqrt x s(x)= sqrt x (rs)(4) =
In-s [12.5K]

Answer: 8

Step-by-step explanation:

3 0
3 years ago
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