Which function is equivalent to y=3(x−2)^2+6?

Solve the following 3 × 3 system. Enter the coordinates of the solution below.

defon

9514 1404 393

Answer:

(x, y, z) = (-1, 0, -3)

Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

(2x -3y -2z) +(x +3y +2z) = (4) +(-7)

3x = -3

x = -1

Adding equations 2 and 3:

(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

-3x -y = 3

Substituting for x, we get ...

(-3)(-1) -y = 3

0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

-1 +2z = -7

2z = -6 . . . . . add 1

z = -3 . . . . . .divide by 2

The solution is (x, y, z) = (-1, 0, -3).

3 0

3 years ago

What is the value of x in the equation x- 3/4 =5 1/6

Wewaii [24]

Answer:

5 11/12

Step-by-step explanation:

First convert the mixed number into an improper fraction: 31/6

Find a common denominator:

18/24 and 124/24

124/24+ 18/24 is 142/24 and that is the same as 5 11/12

Hopefully this helps and you can have a lovely day!

3 0

3 years ago

Please I need help with this math homework ASAP thank you!

Montano1993 [528]

Answer:

4

$\sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4$

4 0

2 years ago

A salesman bought 2 dozen television sets at $300 each. He sold two-thirds of them at

Kipish [7]

Well, the first 16 were about 16*75=$1200 extra. The last 8 were $720 lost. Thus, the total profit is $480. He bought them with $7200, which means the profit is around 6.67%.

8 0

3 years ago

Read 2 more answers

What is the volume of the cylinder shown below?

Anastasy [175]

here's your solution

=> it is given that.

=> height of cylinder = 15unit

=> radius of base = 9unit

=> volume of cylinder = π r^2h cubic unit

 => now, putting the value of height and radius

in above formula

=> volume = 22/7 *9*9*15

=> volume = 36177cubic unit

4 0

3 years ago