What is the quotient in simplified form? State any restrictions on the variable.

Answers

Answer 1

Answer: $( x^(2) -16)/( x^(2) +5x+6): (x)/(y) ( x^(2) +5x+4)/( x^(2) -2x-8)= \n = ((x+4)(x-4))/((x+2)(x+3))* ((x-4)(x+2))/((x+4)(x+1))=$
= ( x - 4 )² / ( x + 3 ) ( x + 1 ), restrictions: x ≠ - 3, x ≠ - 1;
Answer: A )

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Consider the function represented by the equation 1/2j+1/4K=3 which shows the equation written in function notation with k as the independent variable

Answers

Answer:

The required expression is:

$k=12-2j$

Step-by-step explanation:

We have been given an expression:

$\fraxc{1}{2}j+(1)/(4)k=3$

We have to write the equation in terms when k is independent.

$(1)/(4)k=3-(1)/(2)j$

$\Rightarrow k=4(3-(1)/(2)j)$

$\Rightarrow k=2(6-j)$

$\Rightarrow k=12-2j$

The required expression is:

$k=12-2j$

Please help I don’t know

Answers

Answer: Still air: 150 mph

Wind speed: 30 mph

Step-by-step explanation:

Answer:

The speed of the airplane in still air is ____ miles per hour.

The wind speed is _____ miles per hour

Step-by-step explanation:

So typically you just have to read the problem and understand it..

the answer in no.1 is 150

the answer in no.2 is 30

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots?

Answers

Answer:

t = 40 minutes for p = 10 pots

Step-by-step explanation:

given p pots in a batch.

Let t = time it takes to finish a pot

t = 3*p + 10

so if p = 10 pots,

t = 3*10 + 10 = 30 + 10 = 40 minutes

Find the degree of the monomial. 6x8y5

Answers

Answer:

Step-by-step explanation:

We have been given the monomial $6x^8y^5$

Here the variables are x and y.

In order to find the degree this monomial, we add the exponents of the variables x and y.

Exponent of x = 8

Exponent of y = 5

Therefore, the degree of the monomial is

Degree = exponent of x + exponent of y

Degree = 8 + 5

Degree = 13

. 6x⁸y⁵ ← x is a factor 8 times, and y is a factor 5 times, so the degree is 8+5=13
13

Jamie's balance in his checking account is $259.68 on Monday. On Tuesday, he writes checks for: $25.99, $16.58, $32.86, $85.22. What is Jamie's new balance?

Answers

All you have to do is find the total amount he wrote out checks for and then subtract that from $259.68. The answer is $99.03

Which restriction is appropriate for the variable?3y^2 - 3y/y-1

A. no restrictions are needed
B. y= -1
C. y =1
D. y = 3 <---

Answers

Best answer is y=1
Because if the denominator is equals to 1, then the answer will be undefined and we don't want it to be undefined.

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