What are the solutions to the equation? x2 + 6x=40x=-10 and x = 40 x=-5 and x = 80 x =-4 and x = 10

So firstly, you want to set your equation to zero. You can do this by subtracting 40 on both sides of the equation.

Now, what two numbers add up to 6x and multiply to -40x^2? 10x and -4x. With this info, replace 6x with 10x and -4x:

Next, factor x^2-4x and 10x-40 separately. Make sure that what's inside the parentheses is the same:

Now you can rewrite the equation as:

Now using Zero Product Property, solve for x:

In short, x = -10 and 4.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.