MATHEMATICS HIGH SCHOOL

75 + ( - 50 ) + 250 + (- 150) + 50 = 175 ft A. What three numbers in the equation represent in an increase in elevation? B. Use the same sign to add these three integers together. C. What two numbers in the equation represent a decrease in elevation? D. Use the sign to add these two integers together. E. Add the resulting integers to determine the sum of the equation that describes the hikes in engage in elevation.

Answers

Answer 1

Answer:

Answer:

Below.

Step-by-step explanation:

A. 75, 250 and 50.

B. 75+250+50 = 375.

C. -50 and -150.

D. -50 + -150 = -200.

E. 375 - 200 = 175.

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Solve the system.x – 2y = 10
3x + 2y = 14

(Points : 5)
(–8, 6)
(–2, 6)
(6, –8)
(6, –2)

Answers

$x - 2y = 10\n 3x + 2y = 14\n ------\n 4x=24\n x=6\n\n 6-2y=10\n 2y=-4\n y=-2\n\n (6,-2)$

If a plane departed at 12:30 A.M. and arrived at 8:15 A.M., what was the length of time for the flight?

Answers

Seven hours and fourty five minutes

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Answers

I think it should be c

The value of 7 is 200 percent of what number?

Answers

14. Multiply by 2.00, as u would in moving a decimal point 2 times to the right when converting a percent to a decimal.

$1\%\cdot a= (1)/(100)\cdot a\n \n--------------------------\n200\%\cdot7= (200)/(100) \cdot 7=2\cdot 7=14\n \nAns. \ 14$

Determine whether the first number is divisible by the second number 120;3 (yes or no)

Answers

Yes.

Here's a trick that works with 'divisible by 3' :

-- Take the original number . . . . . 120

-- Add up its digits . . . . . . 1 + 2 + 0 = 3

-- If the sum of the digits is divisible by 3, then the big number is too.

3 is divisible by 3, so 120 is too.

Find the product of (4x − 3)(2x2 − 7x + 1).8x3 − 22x2 + 17x− 3

8x3 + 8x2 + 4x − 3

8x3 − 34x2 + 25x − 3

8x3 − 42x2 + 25x − 3

Find the product of 2x4(4x2 + 3x + 1).

8x6 + 6x5 + 2x4

8x8 + 3x4 + 2x4

2x4 + 6x5 + 8x6

6x6 + 5x5 + 3x4

Which statement shows that when two polynomials 4x + 6 and 2x2 − 8x demonstrates the closure property when multiplied?

8x3 − 20x2 − 48x is a polynomial

8x3 − 20x2 + 48x may or may not be a polynomial

8x2 − 32x2 − 14x is a polynomial

8x3 − 32x2 + 14x may or may not be a polynomial

Answers

The correct answers are:

(1) $~8x^3 -34x^2 + 25x -3 ~~$ (Option C)

(2) $~ 8x^(6) + 6x^(5) + 2x^4 ~~$ (Option A)

(3) $~ 8x^3 - 20x^2-48x ~~$ is a polynomial (Option A)

Explanations:

(1) Given Expression:

$(4x-3)(2x^2-7x + 1)$

Now simplify as follows:

$4x(2x^2 - 7x + 1) - 3(2x^2 - 7x + 1) \n8x^3 - 28x^2 + 4x - 6x^2 + 21x - 3 \n8x^3 -34x^2 + 25x -3$

Therefore, the correct answer is $8x^3 -34x^2 + 25x -3$ (Option C)

(2) Given Expression:

$2x^4(4x^2 + 3x + 1)$

Now simplify as follows:

$2x^4(4x^2 + 3x + 1) \n2x^4(4x^2) + 2x^4(3x) + 2x^4(1) \n8x^((4+2)) + 6x^((4+1)) + 2x^4 \n8x^(6) + 6x^(5) + 2x^4$

Therefore, the correct answer is $8x^(6) + 6x^(5) + 2x^4$ (Option A)

(3) Given Data:

Polynomial one: 4x + 6

Polynomial two: $2x^2-8x$

First multiply both polynomials:

$(4x + 6) * (2x^2-8x) \n(4x) * (2x^2-8x) + (6) * (2x^2-8x) \n8x^3-32x^2+12x^2-48x \n8x^3-20x^2-48x$

Now as we can see, if we multiply two polynomials, the resultant expression is also a polynomial. Therefore, it does demonstrate the closure property (closed set). Hence, the correct answer is $8x^3-20x^2-48x ~~$ (Option A)

1. The correct answer among the choices provided is 8x3 − 34x2 + 25x − 3.
2. The correct answer among the choices provided is 8x6 + 6x5 + 2x4.
3. The correct answer among the choices provided is 8x3 − 20x2 − 48x. It is a polynomial.

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