Answer:
key features are the slopes of both linear functions, if they are not equal then the two linear functions will be intercepted
Step-by-step explanation:
Any linear function can be represented by the following linear equation:
y=mx+b
where m is the slope of function
and y in the intercept
Given:
The SneakerRama Company makes and sells sneakers.
They have one linear function that represents the cost of producing sneakers
Let it be represented by y₁=m₁x+b₁
and another linear function that models how much income they get from those sneakers
Let it be represented by y₂=m₂x+b₂
Now if m₁≠m₂
then the two functions will intercept at some point on the graph at some value of x. At that point the cost of producing sneakers will be equal to income they get from those sneakers.
y₂-y₁=0
This point is called the break-even point and the profit is zero at this point !
We have that
x²<span>-6x+7=0
</span>Group terms that contain the same variable
(x²-6x)+7=0
Complete the square Remember to balance the equation
(x²-6x+9-9)+7=0
Rewrite as perfect squares
(x-3)²+7-9=0
(x-3)²-2=0
(x-3)²=2
(x-3)=(+/-)√2
x=(+/-)√2+3
the solutions are
x=√2+3
x=-√2+3
It’s both a relation and a function
Amanda purchased a 30 year $10,000 bond at par value with a 4% coupon.
We find the coupon amount each year
Coupon amount = actual amount of bond * 4%
= 10,000 * 0.04 = 400
Coupon amount for every year = 400
Total value of coupons for 30 years = 400 * 30 = 12000
$12,000 is the total value of the coupons
