mariana averaged 71 on her first three exams. the first score was 69 and the second score was 2 less than the third score. what did she score on the second and third exam

2nd: 71 3rd: 73

Step-by-step explanation:

if mariana averaged 71 on her first three exams, it means in total, she scored 71*3 (213 points). since mariana scored 69 for her first exam, the other two exam scores must be 213-69 (144).

using systems of equations, we can identify two equations:

x is the first test, y is the second test, so x<y

x+y=144

x-y=-2

2y=144-(-2)

2y=146

y=73

if you plug in y (73), you can solve for x

x+73=144

x=144-73

x=71

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

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