MATHEMATICS HIGH SCHOOL

Find the value of each variable and show which property is used.
Find the value of each variable and show which property - 1

Answers

Answer 1
Answer: 7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6

Y=3

3x+2=23
3x =21
x= 7

7(3) -2= 5(3)+4
19=19
x=19

3(7)+2=23
23= 23
Y=23

Adding and subtracting property


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Solve for x. 3x^2-4x-2=0

Enter your simplified answers, as exact values, in the boxes

Answers

ANSWER

x=\frac{2-√(10)} {3}

or

x=\frac{√(10)+2} {3}

We have

3x^2-4x-2=0

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

3x^2-4x=2

Dividing through by 3 gives

x^2-(4)/(3)x= (2)/(3)

Adding (-(2)/(3))^2 to both sides gives

x^2-(4)/(3)x+(-(2)/(3))^2= (2)/(3)+(-(2)/(3))^2

The expression on the Left Hand side is a perfect square.

(x-(2)/(3))^2= (2)/(3)+(4)/(9)

\Rightarrow (x-(2)/(3))^2= (10)/(9)

\Rightarrow (x-(2)/(3))=\pm \sqrt{(10)/(9)}

\Rightarrow (x)=(2)/(3) \pm {(√(10))/(3)

Splitting the plus or minus sign gives

x=\frac{2- √(10)} {3}

or

x=\frac{√(10)+2} {3}

Answer:

x = (2)/(3) + (√(10) )/(3) , x = (2)/(3) - (√(10) )/(3)

Step-by-step explanation:

Multiplying the coefficient of x by the constant to get:

3 x (-2) = -6

Find factors of -6 that equal the middle term -4.

Since, no such factors can be found so we can solve the equation by completing the square.

To complete the square, divide the equation by the coefficient of x^2 which is 3 to get:

x^(2) - (4)/(3) x - (2)/(3) = 0

x^(2) - (4)/(3) x = (2)/(3)

Now divide the coefficient of x by 2 and add the square of the result to both sides of the equation:

x^(2) - (4)/(3) x + (-(2)/(3) )^(2) = (2)/(3) +  (-(2)/(3) )^(2)

(x - (2)/(3) )^2 = (2)/(3) + (4)/(9)

(x - (2)/(3) )^2 = (4)/(9)

\sqrt{(x - (2)/(3) )^2} = \sqrt{(4)/(9) }

x - (2)/(3) = \sqrt{(10)/(9) } , x - (2)/(3) = -\sqrt{(10)/(9) }

x = (2)/(3) + (√(10) )/(3) , x = (2)/(3) - (√(10) )/(3)

Can 92 be classified as a rational number

Answers

Yes, because 92 is an integer and a whole number.
Yes. A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio). Whole numbers, terminating decimals, and fractions are considered rational.

5x + 4y = 6 and y = 5/4x + 5

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−7/5,13/4)

Equation Form:

x=−75,y=134x=-75,y=134

Find the product.

(n + 7)(n - 2)

Answers

(n + 7) (n - 2)
n(n - 2) + 7(n - 2)
n^2 - 2n + 7n - 14
n^2 + 5n - 14

Answer:

n^2 + 14n + 49

Step-by-step explanation:

813,763 round to the nearest ten thousand

Answers

answer:

To round 813,763 to the nearest ten thousand, we look at the digit in the ten thousand place. In this case, the digit in the ten thousand place is 3.

If the digit in the ten thousand place is 0, 1, 2, 3, or 4, we round down to the nearest ten thousand. Since 3 is in the range of 0 to 4, we round down.

To round down, we keep the digits to the right of the ten thousand place as 0. Therefore, when we round 813,763 to the nearest ten thousand, the answer is 810,000.

So, 813,763 rounded to the nearest ten thousand is 810,000.

Alli <3

8 1/2 + 3 4/5 need help fasttttttttttt

Answers

Hi!

Your Answer would be: 11 5/7.

Reason being: 1/2 + 4/5 = 5/7, and 8+3 = 11

Hope this helps!

Let me know if you need anymore help, id be delighted to!

Yours truly,

~~~PicklePoppers~~~
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