Answer:
Solution → (3, -1)
Step-by-step explanation:
We ave to identify the graph representing the system of lines first.
y =
Y-intercept of the line = -3
y = -2x + 5
y-intercept of the line = 5
From the given graphs 3rd (extreme right) graph is representing the system of equations.
Solution of the system of equations will be the point of intersection of these lines.
Solution of the system → (3, -1)
The maximum amount can Carmen purchase so that after her store bucks and discount are applied is
Further Explanation:
Given:
Carmen has in store bucks.
A discount coupon for a local department store.
The total amount should be less than before sales tax.
Explanation:
Consider the amount of the purchase as A.
The Carmen has in store bucks.
The new amount will be
There is a discount coupon for a local department store.
The amount after discount can be calculated as follows,
The total amount should be less than before sales tax.
The maximum amount can Carmen purchases so that after her store bucks and discount are applied can be calculated as follows,
The maximum amount can Carmen purchase so that after her store bucks and discount are applied is
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear inequality
Keywords: Tax, returns, filed, tax return, Carmen, store bucks, department store, maximum, dollar, amount, Carmen purchase, discount, 25% discount coupon, coupon, sales tax.
Answer:
Part a)
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) see the explanation
Part c)
Step-by-step explanation:
Let
f(d) -----> the time in seconds it takes for an object to fall
d -----> distance in feet
we have
Part a): Determine f(2) and explain what it represents
we know that
f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet
For
substitute in the function above and solve for f(2)
therefore
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}
What does this tell you about the basin?
The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft
so
The maximum height of the basin is 3,805,774 ft
Part c) How long would it take a rock to drop from the rim to the bottom of the basin?
we know that
The distance from the rim to the bottom of the basin is equal to the maximum height of the basin
so
substitute the value of d in the function f(d)