Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Answer:
I'm going to write both of these because maybe you have a fill in the blank question. I don't know.

Simplify:

Step-by-step explanation:
is the equation of a circle with center (h,k) and radius r.
You are given (h,k)=(4,5) because that is the center.
You are given r=9 because it says radius 9.
Let's plug this in.

Simplify:

Answer:
x intercept = 8
y intercept = -24
Step-by-step explanation:
In the USA, the shoe sizes or men are approximated by the equation 3f-s=24, where f represents the length of the foot in inches and s represents the shoe size.
<u>When we represent this equation using a graph, we mark the independent variable on the x axis and the dependent variable on the y axis.</u>
Here the foot length is the independent variable and the shoe size is the dependent variable. Hence we take foot length on x axis.
To get x intercept put y=0, f =
= 8 inches .
This is the point from which where we start our shoe size.
The y intercept , s = -24.
If the rate continues, in nine years there will be about 300 employees
Answer:
she end
Step-by-step explanation:
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