Answer:
1) 4x^(2)+11x+6 Factored--> (4x+3) (x+2)
2) 4x^(2)+10x+6 Factored--> (2x+3)(2x+2)
3) 4x^(2)+14x+6 Factored--> (x+3)(4x+2)
Step-by-step explanation:
Factor: 4x^(2)+11x+6 (<em>step by step)</em>
<em>1) Split the second term (11x) into two terms</em>
<em> </em>4x^2 + 8x + 3x + 6
<em>2)Factor out common terms in the first two terms, then in the last two terms.</em>
4x(x + 2) + 3(x + 2)
<em>3) Factor out the common term x + 2</em>
<em> </em> (x + 2) (4x + 3)
Repeat the above steps for similar questions!
Steven kept 27 paper clips for himself with means 136 paper clips are left. (163-27) now divide 136 by 8 you get 17. Each friend receives 17 paper clips.
The numbers given in the problem above are part of an arithmetic sequence with first and sixth terms equal to -21 and -36, respectively. Firstly, calculate for the common difference (d).
d = (-36 - -21) / (6 - 1) = -3
The arithmetic mean is calculated by adding -3 to the term prior to it.
a2 = -21 + -3 = -24 a3 = -24 + -3 = -27
a4 = -27 + -3 = -30 a5 = -30 + -3 = -33
Thus the four arithmetic means are -24, -27, -30, and -33.
Given:
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).
To find:
The corresponding quadratic expression.
Solution:
If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.
A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.
The function is defined as:
...(i)
Where, a is a constant.
The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.
Substituting x=4 and P(x)=8 in (i).
Divide both sides by -4.
Putting 
in (i), we get
Therefore, the correct option is B.
Answer:
Exact form: √
29
Decimal form: 5.38516480
Step-by-step explanation:
