When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values is the _
1 answer:
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Answer:
Inequality: 0.08x + 2300 ≥ 2800
Liz needs to sell products of $6250 at least.
Step-by-step explanation:
Given that:
Per month salary of Liz = $2300
Commission = 8% = = 0.08
Amount Liz wants to earn = $2800
Let,
x be the amount of sales.
0.08x + 2300 ≥ 2800
0.08x ≥ 2800 - 2300
0.08x ≥ 500
Dividing both sides by 0.08
Hence,
Liz needs to sell products of $6250 at least.
Answer:
The solution to the system is the pair (9, 6)
Step-by-step explanation:
Hi!
First, let´s write the system of equations:
-y² + 6y + x -9 = 0
6y = x +27
The solutions of the system are the pairs (x, y) that satisfy both equations.
Let´s take the second equation and solve it for x:
6y = x +27
Subtract 27 from both sides of the equation
6y - 27 = x
Now, we can replace x in the first equation and solve it for y:
-y² + 6y + x -9 = 0
-y² + 6y + 6y - 27 -9 = 0
-y² + 12y - 36 = 0
Notice that -y² + 12y - 36 = -(y - 6)², then:
-(y - 6)² = 0
y - 6 = 0
y = 6
(alternatively you can solve the quadratic equation using the quadratic formula).
Now let´s find the value of x:
x = 6y -27
x = 6·6 -27
x = 9
The solution to the system is the pair (9, 6)
Please see the attached figure. The point where the curves intersect is the solution to the system.
