Simplify the expression 8^2 + 9 (12/3 x 2)-7. Explain each of your steps

Answers

Answer 1

Answer:

Answer:

$8^(2) +9. ((12)/(3) . 2) -7 = \n \n16+9. (24)/(3) -7\n \n16+72 -7 = 81$

Step-by-step explanation:

In order to resolve correctly this combined calculation, we need to resolve it in order:

First, the operation in parenthesis. Secondly, the powers. Then multiplications and divisions, and after all, substraction and adittion.

So, we first resolve the parenthesis: $(12)/(3) . 2 =$

We multiply 12 by 2, and 3 by 1. The result is $(24)/(3)$

Then we resolve the powers:

$8^(2) = 16$

Thirdly, we resolve the multiplications:

$9. (24)/(3)$ = 72

And finally, the addition:

16 + 72 - 7 = 81

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Answers

The first one: This answer has no solution because it can be rewritten as 0=0

Find the zeros of the function
k(x) = -5x² - 125
The zeros of k are x= □ and x= □

Answers

Answer:

x = ±5i

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg II

√-1 is imaginary number i

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

Set function equal to 0: 0 = -5x² - 125
Factor out -5: 0 = -5(x² + 25)
Divide both sides by -5: 0 = x² + 25
Subtract 25 on both sides: -25 = x²
Rewrite: x² = -25
Square root both sides: x = ±√-25
Rewrite: x = √-1 · ±√25
Evaluate: x = ±5i

11 The net force on a vehicle that is accelerating at a rate of 1.5 m/s² is 2,800 newtons. What isthe mass of the vehicle to the nearest kilogram?

Answers

Answer:

$Mass = 1867kg$

Step-by-step explanation:

Given

$Force = 2800N$

$Acceleration = 1.5m/s^2$

Required

Determine the mass of the vehicle

This question will be answered using Newton's second law

$Force = Mass * Acceleration$

Substitute values for Force and Acceleration

$2800 = Mass * 1.5m/s^2$

Make Mass the subject

$Mass = (2800N)/(1.5m/s^2)$

$Mass = 1866.6667kg$

$Mass = 1867kg$ ---- approximated

Hence, the mass of the vehicle is 1867kg

Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0

Answers

Answer:

The property shown in matrix addition given is "Additive Inverse Property"

Step-by-step explanation:

First of all lets define what a matrix is.

A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.

There are several addition properties for matrices.

One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.

Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.

$\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right]$

Hence,

The property shown in matrix addition given is "Additive Inverse Property"

IWhat is the sale price of a stereo that normally sells for $250.00 and is on sale for 10% off?

Answers

Answer:

$225.00

Step-by-step explanation

First, take the percentage and switch it to a decimal. 10%= 0.10

Next, take $250.00 and multiply that by 0.10. 250x0.10=25

Lastly, subtract 25 from 250. 250-25= 225.

So you’re final answer is $225.00 Hope this helped!

Answer:

$225

Step-by-step explanation:

To find the sale price you convert 10% to decimals so that is equal to .10. Then you multiply the .10 by the original price, and that equals $25. After you have to subtract the found price by original price (250-25) then that should give you $225.

(2x - y + 3) (2x - y - 3)using identities

Answers

Step-by-step explanation:

(2x-y+3)(2x-y-3)=

4x²-2xy-6x-2xy+y²+3y+6x-3y-9=

4x²-4xy+y²-9=

(2x-y)²-9

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