The vertex of the given quadratic polynomial function is (6, 8)
A quadratic polynomial function is the one which can be represented in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. A parabola is formed when the quadratic polynomial is plotted on graph. The x coordinate of the vertex can be found using formula (-b/2a) and y coordinate can be found by putting the value of x in the equation.
Given polynomial function x² - 12x + 44
Now, x = (-b/2a)
x = (12/2)
=> x = 6
Now, y = 6² - 12×6 + 44
y = 36 - 72 + 44
=> y = 8
Therefore, Vertex = (6, 8)
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Answer:
A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder.
Example:
2 is a factor of 8.
8 is a multiple of 2.
Step-by-step explanation:
<h2><u><em>
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Answer:
<em><u>122 miles per hour</u></em><em><u>.</u></em><em><u> </u></em>
Step-by-step explanation:
Time:108 min ÷60 =1.8 hours
Speed = distance /time = 219/1.8 =122 miles per hour.
Hope this helps..
Answer:
1) 11
2) 2
3) 
4) 
5) -2
6) 
Step-by-step explanation:
1) 2
+ 3
- 
=(2 × 2 )+ (3 × 4) - 5
= 4 + 12 - 5
= 11
2) 4
-2
+ 
= (4 × 2) - (2 × 7) + 8
= 8 - 14 +8
= 2
3) 5
- 3
= 5× 
- 3×
+ 4×
+ 2×
= 
=
4) 
= 
=
5) 
= 
= -2
6) 
= 
= 2× - 2× - 
= 
=
Hope the working out is clear and will help you. :)
