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3 years ago

Use the distributive property to find the product.

1 answer:

6 0

Use the Foil Method:

First: t x t =t^2
Outsides: t x 8 = 8t
Insides: -1 x t = - t
Lasts: 8 x -1 = -8

so you'll have t^2 + 8t - t - 8, simplify it more: t^2 + 7t - 8, A.

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Several terms of a sequence {an}n=1 infinity are given. A. Find the next two terms of the sequence. B. Find a recurrence relatio

s344n2d4d5 [400]

Answer:

A) $\frac{1}{1024},\frac{1}{4096}$

B) $\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) $\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

Step-by-step explanation:

1) Incomplete question. So completing the several terms: $\left \{a_{n}\right \}_{n=1}^{\infty}=\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},... \right \}$

We can realize this a Geometric sequence, with the ratio equal to:

$q=\frac{1}{4}$

A) To find the next two terms of this sequence, simply follow multiplying the 5th term by the ratio (q):

$\frac{1}{256}*\mathbf{\frac{1}{4}}=\frac{1}{1024}\\\\\frac{1}{1024}*\mathbf{\frac{1}{4}}=\frac{1}{4096}\\\\\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},\mathbf{\frac{1}{1024},\frac{1}{4096}}\right \}$

B) To find a recurrence a relation, is to write it a function based on the last value. So that, the function relates to the last value.

$\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) The explicit formula, is one valid for any value since we have the first one to find any term of the Geometric Sequence, therefore:

$\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

6 0

3 years ago

Use the elimination method to solve the system of equations. Choose the correct ordered pair.

Aleonysh [2.5K]

4x + 7y = 60
-4x + 7y = -4
------------------add
14y = 56
y = 56/14
y = 4

4x + 7y = 60
4x + 7(4) = 60
4x + 28 = 60
4x = 60 - 28
4x = 32
x = 32/4
x = 8

so ur solution is : (8,4)

6 0

4 years ago

Read 2 more answers

Multiply to -260 add to 7

djyliett [7]

What can you be more specific like a put it in a sentence. For example x*-260+7=?

6 0

4 years ago

You are paid $78 $78 for 6 1 2 612 hours of work. What is your rate of pay?

vivado [14]

Relevance Best Answer: Something is wrong with the question.

$78 / 612 hours ≈ $0.13 per hour (in other words, less than 13 *cents* per hour).

To figure the hourly rate, take the total pay and divide by the hours.

For example, if it was $78 for *6* hours, it would be:
78 / 6 = $13 per hour.

Or more likely, it was $78 for *6½* hours:
78 / 6½
= 78 / 13/2
= 78 x 2/13
= 78/13 x 2
= 6 x 2
= $12 per hour

5 0

3 years ago

Let q(x)=8x-7 what is q(4) A)36 B)32 C)39 D)25

Irina18 [472]

q(x)=8x-7 is your equation.

When x = 4

Plug in 4 for x

q(4) = 8(4) - 7

Follow PEMDAS. Multiply 8 with 4

q(4) = 32 - 7

Subtract

q(4) = 25

(D) 25 is your answer

hope this helps

7 0

4 years ago