Find the product mentally. [(x + 1)(x - 1)]2

Answers

Answer 1

Answer: [(x+1)(x-1)]2 = (x*x + -x + x + -1)2 = (x^2 - 1)2. This should be the simplest form.

Answer 2

Answer:

Final answer:

The product of the given equation [(x + 1)(x - 1)]2 can be mentally calculated by recognizing it as a difference of squares expression followed by applying the square of a binomial formula, giving us x^4 - 2x^2 + 1 as the final answer.

Explanation:

To find the product of the given equation mentally, we need to understand some basic algebraic laws. (x + 1)(x - 1) is a difference of squares, which simplifies to x2 - 1. We then square this expression, as indicated by the '2' outside the parentheses, which gives us (x2 - 1)2.

Finally, applying the square of a binomial formula (a - b)2 = a2 - 2ab+ b2 on our expression, we get x4 - 2x2 + 1 as the final product. Now this final product is the simplest form of your given equation.

Learn more about Algebraic Product here:

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Choose a method that can be used to solve this system of equations by elimination.2x - 2y = 24
4x + 7y = -40

1. Subtract 2x from both equations and solve the first equation for y.

2. Multiply the first equation by -2 and add the second equation.

3. Add the first equation to the second equation and subtract 6x from both sides of the equation.

4. Subtract 7y from the second equation and add the first equation.

Which one of these steps is the correct way of solving by elimination?

Answers

The method that should be selected is

2. Multiply the first equation by -2 and add the secondequation.

Elimination method:

In the elimination method, we can either add or subtract the equations to get an equation in one variable. At the time When the coefficients of one variable are opposites, so we can add the equations to eliminate a variable and when the coefficients of one variable are equal we can subtract the equations to eliminate a variable.

Learn more about an equation here: brainly.com/question/17599700

Answer:

Step-by-step explanation:

if we multiply the first equation by neg 2, the 4x's cancel out.

Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pine tree is 2121 21 meters. The height of 44 4 fir trees stacked on top of each other is 2424 24 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?

Answers

Answer: The height of fir tree is 9 meters and the height of pine tree is 12 meters.

Step-by-step explanation:

Given : The combined height of one fir tree and one pine tree = 21 meters.

Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree.

Then we get the following equations:

$x+y=21...............(1)\n4x-y=24.........(2)$

Adding (1) and (2) we get

$5x=45\n\Rightarrow\ x=9$

Substitute the value of x in (1), we get

$9+y=21\n\Rightarrow\ y=21-9=12$

Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.

What is the inverse of f(x)=1/5x+3/5

Answers

Answer:

f^-1(x) = 1/(5x - 3) (See explanation for alternate answer)

Step-by-step explanation:

Assuming you meant f(x) = 1/(5x) + 3/5

y = 1/(5x) + 3/5

(I like to substitute x and y early on)

x = 1/(5y) + 3/5

5x = 1/y + 3

1/y = 5x - 3

f^-1(x) = 1/(5x - 3)

Assuming you meant f(x) = 1x/5 + 3/5

y = 1x/5 + 3/5

x = 1y/5 + 3/5

5x = y + 3

f^-1(x) = 5x - 3

What letter comes next y, b, w,d,u,f,

Answers

s,h,q,j,o,l,m...
lol..wasn't that hard

Suppose that you are a manager of a clothing store and have just purchased 100 shirts for $15 each. After a month of selling the shirts at the regular price, you plan to have a sale giving 30% of the original selling price. However ,you want to make a profit of $6 on each shirt at the sale price. What should you price the shirts at initially to ensure this?

Answers

He should set the original price at $27.30

When you say "Plan to have a sale giving 30% of the original selling price", I suppose it's taking away 30%? So taking away 30% is like $15 - $4.5 = $10.50
Adding $6 more is $16.50.
If you're saying the manager is selling the price 30% of $15 then the price is $4.50 Plus the $6, it should be $10.50

So the answer should either be $16.50 or $10.50
Hope this helps! :)

you invest $1,500 today in a bank that gives you a 5 percent annual interest rate, which of these items can you buy in two years?

Answers

1500 (1+5%)^2 = $1653.75

Answer:1650

Step-by-step explanation:

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