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In-s [12.5K]
3 years ago
8

Check all of the following that are a solution of sqrt (2x+3) - sqrt (x+1) =1

Mathematics
2 answers:
Zepler [3.9K]3 years ago
6 0

Answer:-1 and 3

Step-by-step explanation:

Whitepunk [10]3 years ago
6 0

Answer:

-1 and 3 are the answers

Step-by-step explanation:

i just answered this question and got it right

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Find the area of the composite shape. Use 3.14 for ni and round to the nearest hundredth.
Nonamiya [84]

Answer:

49.12 square inches

Step-by-step explanation:

Area of a circle = Pi x r^2

= 3.14 x 4^2

= 3.14 x 16

= 50.24

Half the circle = 25.12 squared inches

Area of a triangle = base x height /2

= 6 x 8 /2

= 24

25.12 + 24 = 49.12 square inches

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Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write and expression for the total number of nickels Casey
AnnyKZ [126]

Step-by-step explanation:

Let n be the number of nickels that Casey has.

We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.

Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.

\text{Total number of nickels Casey and Megan have}=n+4*n

Therefore, the expression n+4*n will represent the total number of nickels that Casey and Megan have .

Upon combining like terms we will get,

\text{Total number of nickels Casey and Megan have}=(1+4)n

\text{Total number of nickels Casey and Megan have}=5n

Therefore, Casey and Megan have 5n nickels.

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Yes it is possible for a geometric sequence to not outgrow an arithmetic one, but only if the common ratio r is restricted by this inequality: 0 < r < 1

Consider the arithmetic sequence an = 9 + 2(n-1). We start at 9 and increment (or increase) by 2 each time. This goes on forever to generate the successive terms.

In the geometric sequence an = 4*(0.5)^(n-1), we start at 4 and multiply each term by 0.5, so the next term would be 2, then after that would be 1, etc. This sequence steadily gets closer to 0 but never actually gets there. We can say that this is a strictly decreasing sequence.

If your teacher insists that the geometric sequence must be strictly increasing, then at some point the geometric sequence will overtake the arithmetic one. This is due to the nature that exponential growth functions grow faster compared to linear functions with positive slope.

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You would pay 6 dollars
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