What is the Y-intercept of the graph of the linear function? What is the slope?

Identify a transformation of the function f(x) = x^2 by observing the equation of the function g(x) = (x - 6)^2

MArishka [77]

Answer:

B

Step-by-step explanation:

Anything inside the bracket affects x opposite of the sign.

Look at it as if you’re solving for x:

x-6=0
x=6

therefore x moves 6 units to the right.

3 0

3 years ago

Find the circumference and area of the circle. Use 3.14 or 22/7 for π.

Hoochie [10]

Answer:

circumference: 62.8 ft
area: 314 ft²

Step-by-step explanation:

The circumference is given by the formula ...

C = πd

Using the given numbers, the circumference is ...

C = (3.14)(20 ft) = 62.8 ft

__

The area is given by the formula ...

A = πr² . . . . . where radius r is half the diameter

Using the given numbers, the area is ...

A = 3.14(10 ft)² = 314 ft²

4 0

2 years ago

1)A System of equations is shown below . What is the solution to the system of equations? 5x+2y=-15 2x-2y=-6

meriva

Answer:

x= -3 and y= 0

Step-by-step explanation:

5x+2y=-15

x= -3

Putting value of x in equation 1

5(-3) +2y=-15

-15+2y= -15

2y= 0

y= 0

This can be solved with the help of matrices

In matrix form the above equations can be written in the form

$\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = $\left[\begin{array}{ccc}-15\\-6\\\end{array}\right]$

Let

$\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right]$ = A $\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ = X and $\left[\begin{array}{ccc}-15\\-6\\\end{array}\right]$ = B

Then AX= B

or X= A⁻¹ B

where A⁻¹= adj A/ ║A║ where mod A≠ 0

adj A= $\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right]$

║A║= ( 5*-2- 2*2)= -10-4= -14≠0

X= A⁻¹ B

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right]$ $\left[\begin{array}{ccc}-15\\-6\\\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\\end{array}\right]$ =- 1/14 $\left[\begin{array}{ccc}-2*-15&+ -2*-6\\-2*-15&+ 5*-6\\\end{array}\right]$