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Vedmedyk [2.9K]
3 years ago
8

Chicken costs $3.30 per pound, and beef costs $4.79 per pound. Answer each question.

Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0
1 - 9.90
2- 14.37
3- 4.47
inn [45]3 years ago
5 0

Answer:

1) $9.90 2) $14.37 3) $4.47

Step-by-step explanation:

1) $3.30 * 3 pounds = $9.90

2) $4.79 * 3 pounds = $14.37

3) $14.37 (from #2) - $3.30 (from #1) = $4.47

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Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute a_n=4^n+2(-1)^n in the equation a_n=3a_{n-1}+4a_{n-2} the equality is true.

Let's substitute first in the right hand side:

3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})

Now we use the distributive laws. Also, note that (-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n} (this also works when the power is n-2).

=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}

=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}

=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n

then the sequence solves the recurrence relation.

4 0
3 years ago
What is the remainder of 7964 divided by 8
pishuonlain [190]

Exact Form: 1991/2


Decimal Form: 995.5


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6 0
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Which figure is missing in the pattern?
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viktelen [127]

Answer:

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Step-by-step explanation:

Since we're dividing the polynomial by (x+1), we'll be using -1 to start the division.

Before setting the division up, let's list the coefficients of x from descending powers and the constant.

The coefficient of x^{3} is 3

Since we don't see an x^{2}, the coefficient will be 0.

The coefficient of x is 5.

Lastly, the constant, which is the term without the x is -1.

Refer to the attached picture before continuing.

After referring to the picture, we now have the coefficients for the quotient.

The coefficient of x^{2} is 3.

The coefficient of x is -3.

The constant is 8.

Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.

The remainder is actually \frac{-9}{x+1}.

Now putting all the pieces together, we get:

3x^{2} -3x+8-\frac{9}{x+1}

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Step-by-step explanation:

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