Can someone please answer the problem in the picture?

Rate of change is 6/7      Initial value: 6

Step-by-step explanation:

To find the slope (which is the rate of change), use (y1 - y2)/(x1 - x2).

x1 and y1 will be (0, 6)    

x2 and y2 will be (7, 0)

Note that x1 x2 y1 y2 can be any points on the line, I just chose these because they were x and y-intercepts.

(6 - 0)/(0 - 7)  =  6/7

The initial value is simply the y-intercept, which is 6.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: