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3 years ago

Select all statements below which are true for all invertible n×n matrices A and B

1 answer:

7 0

The statements that are rue for all invertible n×n matrices A and B are:
(A+B)(A−B)=A^2−B^2
and
(ABA^−1)^4=AB^4A^−1
From the above results we can conclude that the correct options among all the options that are given in the question are option "B" and option "E". I hope the answer helps you.

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The graph of a function f(x) passes through the following points: (0,0), (1, -2), (2,0) Which of the following could be f(x)?

Sveta_85 [38]

Answer:

f(x)= 2x^2-4x

Step-by-step explanation:

3 0

3 years ago

The function A = 15x - x2, where x is the width in yards, gives the area A of a llama pen in square yards. Make a table using 1/

Mnenie [13.5K]

Answer:

The width which gives the greatest area is 7.5 yd

Step-by-step explanation:

This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen

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3 years ago

How to find the profit/ loss in total

Pani-rosa [81]

Answer:

Take the amount spent and subtract it from the amount made to find profit/loss

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3 years ago

4,284 passengers traveling by the intercity bus every day, the intercity bus operates 6 hours every day, find the number of pass

Lemur [1.5K]

Answer:

714

Step-by-step explanation:

So lets go over what we know.

The bus only goes for 6 hours each day.

So lets just think of a full day as 6 hours.

Each day(6 hours), 4284 passangers ride the bus.

To find passangers per hour, we must divide the total passangers by the total hours.

This is 4284(total passangers) divided by 6(total hours):

4284/6

714

So each hour, there are 714 passangers.

Hope this helps!

7 0

3 years ago

There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t

Harrizon [31]

A) The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. You know the length of the gift shop, l = 20x + 24. You know the width, w = 36x - 20. Plug those expressions into the equation for area of a rectangle and multiply/foil:
$A = lw\\
A = (20x + 24)(36x - 20)\\
A = (20x)(36x) + (20x)(-20) + (24)(36x) + (24)(-20)\\
A = 720x^{2} - 400x + 864x - 480\\
A = 720x^{2} + 464x - 480$

The expression for the area of the gift shop is $720x^{2} + 464x - 480$ .

B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
$P = 2(l+w)\\
P = 2(20x + 24 + 36x - 20)\\
P = 2(56x + 4) = 2(56x) + 2(4)\\
P = 112x + 8$

The expression for the perimeter of the gift shop is 112x + 8

C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
$P = 112x + 8\\
176 = 112x + 8\\
112x = 168
x = 1.5$

Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) Length = 20x+24 feet
Length = 20(1.5) + 24 feet = 54 feet
2) Width = 36x-20 feet
Width = 36(1.5)-20 feet = 34 feet

Your dimensions are 54 feet (length) by 34 feet (width).

3 0

3 years ago