Which equation describes the graph?
a: y=-|x+2|
b: y=-|x|+2
c: y=-|x-2|
d: y=-|x|-2

OPTION C: y = - |x - 2|

Step-by-step explanation:

To solve problems of this type take any two points on the graph. We take two points:

 This means that when x = 2, y = 0.

And

These two points are on the given line.

So, these two points are substituted to check if they satisfy the given equation.

OPTION A: y = - |x + 2|

Substituting (2, 0):

LHS = y = 0

RHS = - |2 + 2| = - 4 ≠ 0

So, this option is eliminated.

OPTION B: y = - |x| + 2

Substitute (x, y) = (2, 0)

LHS = 0

RHS = - |2| + 2 = - 2 + 2 = 0

LHS = RHS

Now, check for (0, -2)

LHS = -2

RHS = - |0| + 2|

= - |0| + 2 = 2 ≠ -2

So, this option is eliminated as well.

OPTION C: y = - |x - 2|

Substitute (2, 0)

LHS = 0

RHS = - |2 - 2| = 0

LHS = RHS

Now, substitute (0, -2)

LHS = -2

RHS = - |0 - 2|

       = - |- 2|

       = - 2

∴ LHS = RHS for both the points.  

OPTION D: y = - |x| - 2

Substitute (2, 0)

LHS = 0

RHS = - |2| - 2

       = - 2 - 2

       = - 4

This option is eliminated as well.

So, OPTION C is our answer since it satisfies the points.

NOTE: Points satisfying the equation of the graph is only a necessary condition not a sufficient one.

its definatley   this on your answer choice?

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.