The solution set of the equation 3X=-6/1-X for x # 1 is {-2,1)
3x = -6/(1-x)
3x(1-x) = -6
3x – 3x2 = -6
Taking 3 as common from both sides
x –x2 = -2
x2 – x +2 =0
Using factorisation method we will get two factors
Factoring quadratics is a method of expressing the quadratic equation ax2 + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax2 + bx + c = 0. This method is also is called the method of factorization of quadratic equations. Factorization of quadratic equations can be done using different methods such as splitting the middle term, using the quadratic formula, completing the squares, etc.
( x – 2)(x+1)=0
So, x = 2 , -1
Now, when x ≠ 1
The solution of the equation will vary from {-2,1) .
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Answer:
measure of what
Step-by-step explanation:
let me know
Here we are given the information that an insurance agent receives 16% commission on every premium paid.
Now we are given that a premium of $497.69 is paid.
Let us say $x is the commission paid on the policy with a premium of $497.69.
Let us try to find the amount x here.
So we have to find 16% of 497.69 to get the commission amount x.
So finding 16% of 497.69.
x= 16% of 497.69 = 0.16*497.69 = 79.63
Answer: Commission of $79.63 is paid on a policy with a premium of $497.69.
Answer:
<em>16.6 for nearest tenths</em>
<em>16.57 for nearest hundreths</em>
Step-by-step explanation:
4/7*29/1=
29*7=203/7 to get the same denominator
203 x 4 = 812 mulptiply to get the fraction
7 x 7 = 49
812/49=<em>16.5714285714</em>
For the given graph , slope of the line is equal to ( 1 / 2 ).
As given in the question,
Form the given graph,
Scale is given by,
On x-axis each unit of the graph represent 1 unit.
On y- axis each unit of the graph represent 1 unit.
Consider two coordinates from the line of the graph,
( x₁ , y₁ ) = ( 1, 2 )
( x₂ , y₂ ) = ( 3, 3 )
Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value in the formula of the slope we get,
Slope of the line = ( 3 - 2 ) / ( 3 - 1 )
⇒ Slope of the line = 1 / 2
Therefore, for the given graph , slope of the line is equal to ( 1 / 2 ).
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