Answer:
<em>g(</em><em>x)</em><em> </em><em>=</em><em> </em><em>-4g(</em><em>x)</em><em> </em><em>=</em><em> </em><em>-x+</em><em>4</em>
<em>=</em><em> </em><em>g(</em><em>5</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>4</em><em>(</em><em>5</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>(</em><em>5</em><em>)</em><em>+</em><em>4</em>
<em>=</em><em> </em><em>g(</em><em>5</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em>
Answer:
Decimal form:0.23529411764
Fraction form:
Step-by-step explanation:As a decimal fraction:
23529411764/100000000000
The Greatest Common Factor
of 23529411764 and 100000000000 is:4
Simplify the fraction:
23529411764 / 4
100000000000 / 4
Simplified:
5882352941/25000000000
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)
Learn more about Vertex of quadratic polynomial at:
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Answer:
Step-by-step explanation:
Let's say "m" is the manufactoring cost per drill (in dollars).
Then the manufactorer sells it for $4 more, so this would be:
m+4
Then the chain store sells it for 140% of the price is paid the manufactorer, so this would be "140% of (m+4)" which translates to "1.4•(m+4)" or more simply:
1.4(m+4)
P(m) = 1.4(m+4), where m is the initial manufactoring cost (in dollars).
Simplifying, you could rewrite this as:
P(m) = 1.4m + 5.6
