When factored completely, the expression p^4-81 is equivalent to what?

Answers

Answer 1

Answer: differnce of 2 pefect squares
a^2-b^2=(a-b)(a+b)
(p^2)^2-9^2=(p^2-9)(p^2+9)

p^2-9=(p-3)(p+3)

factored is
(p-3)(p+3)(p^2+9)

Answer 2

Answer: Hello,

p^4-3^4=(p²+9)(p²-9)=(p-3)(p+3)(p²+9) [in R]
[(maybe (p-3)(p+3)(p-3i)(p+3i) in C]

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Write an equation of the line in point-slope form that passes through the given points. (1,4) and (2,8)

Answers

Answer:

y = 4x

Step-by-step explanation:

Slope: (y-y)/(x-x) = (8-4)/(2-1) = 4/1 = 4

Point: (1,4))

y-y = m(x-x)

y - 4 = 4(x - 1)

y - 4 = 4x - 4

y = 4x - 4 + 4

y = 4x

PLS HELP ME QUICKThere are 52 cards in a deck of cards. There are no jokers in the deck. If you
shuffle the deck of cards, and choose one at random, what is the
probability that you will choose a Queen? *

Answers

Answer:

The answer is 4:52

Step-by-step explanation:

Because each type of cards has four pairs

4the answe is 4: 52 because of the pairs you have and shown

A table is 2 feet wide it is 6 times as long as it is wide

Answers

Answer:

length × width
(6×2) × 2
12 × 2
So length is 12

2 feet times 6 equals 12 which gives you the answer that the length is 12

Let f(x)=8x and g(x)=8x+5+1.Which transformations are needed to transform the graph of f(x to the graph of g(x)?

Select each correct answer.

horizontal translation 1 unit left

vertical translation 1 unit down

vertical translation 5 units up

vertical translation 1 unit up

horizontal translation 5 units right

horizontal translation 5 units left

Answers

Transformation involves changing the form of a function

The transformations are:

vertical translation 1 unit up .
horizontal translation 5 units left.

The functions are given as:

$\mathbf{f(x) = 8x}$

$\mathbf{g(x) = 8(x + 5) + 1}$

Considering f(x), we have:

$\mathbf{f(x) = 8x}$

Start by translating the function 5 units left.

The rule of this translation is:

$\mathbf{f'(x) = f(x + 5)}$

So, we have:

$\mathbf{f'(x) = 8(x + 5)}$

Next, translate the function 1 unit up

The rule of this translation is:

$\mathbf{f''(x) = f'(x) + 1}$

So, we have:

$\mathbf{f''(x) = 8(x + 5) + 1}$

Rewrite as:

$\mathbf{g(x) = 8(x + 5) + 1}$

Hence, the transformations are: vertical translation 1 unit up and horizontal translation 5 units left

Answers

Find the attachment for the dilation..If the center of dilation is the origin.Then A' is not the vertex

James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, what percent tip did he receive for serving these meals? Round your answer to the nearest percent?

Answers

1. James works as a waiter.
He served food with the following price
=> 23.59 dollars
=> 40.65 dollars
=> 30.50 dollars
=> 15.68 dollars
Let’s add this altogether:
=> 23.59 + 40.65 + 30.50 + 15.68
=> 110.42 the total of the ordered food.
Now, James received a tip of 17.67 dollars. Find the interest rate of his tip.
=> 110.42 * .50 = 55.21, thus the interest rate of tip is less than 50%
=> You can do trial and error to get the correct rate,
=> 110.42 * .16 = 17.67, thus he received 16% tip

Answer:

16% percent would be the answer if you have plato Your welcome plato users.=)

Step-by-step explanation:

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