John and Sarah are each saving money for a car. The total amount of money John will save is given by the function j(x)= x^2 +2x, where x represents the number of weeks. The total amount of money Sarah will save is given by the function s(x)= -3x+6, where x represents the numbers of weeks.

Explain the point of intersection in context to the problem. Show all work

See below.

Step-by-step explanation:

Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.

y = x^2 + 2x

y = -3x + 6 so

x^2 + 2x = -3x + 6

x^2 + 5x - 6 = 0

(x + 6)(x - 1) = 0

So x = 1  ( we ignore the negative)

So after 1 week  they have saved the same amount  and the amount is -3 + 6 = 3.

Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

a

step-by-step explanation:

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