Answer: The company currently has 17 employees
Step-by-step explanation:
Let X represent the number of current employees in the company
From the first information, it can be expressed mathematically as
X + 3 ≥ 20
X ≥ 20 - 3
X ≥ 17
From the second information, it can be expressed mathematically as
X - 3 < 15
X < 15 + 3
X < 18
From the above solutions, it can be deduced that
17 ≤ X < 18
The only number that fulfils this criteria is 17.
Therefore, X = 17
<h2><u>
Answer:</u></h2>
n²-25
<h2><u>
Explanation:</u></h2>
Expand the polynomial using the FOIL method. (A handy way to remember how to multiply two binomials. It stands for "First, Outer, Inner, Last")
The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).
Answer:
<em>k = - 7.5 </em>
Step-by-step explanation:
Slope "m" of a line through points
( 
, 
)
( 
, 
)
is m = 
Slopes of perpendicular lines are opposite reciprocal: 
= - 1
~~~~~~~~~~~~~~~
The slope of a line through points (0, 7) and (2, 10)
= 
= 
Slope of perpendicular line through points (3, 5) and (k, 12) is = 
or = 
=
2(k - 3) = - 21
k - 3 = - 10.5
<em>k = - 7.5</em>
