The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24
<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>
The given equation is presented as follows;
Factoring the common denominator, we have;
Simplifying the numerator of the right hand side using a graphing calculator, we get;
By expanding and collecting, the terms of the numerator gives;
-(x³ - 48•x + 651•x - 2548)
Given that the terms of the numerator have several factors in common, we get;
-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)
Which gives;
Which gives;
x - 4 = 20
Therefore;
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Answer:
960 sprinkles
Step-by-step explanation:
If 24 cookies call for EXACTLY 384 sprinkles, then 16 sprinkles fit on each cookie. 384/24 = 16
If 16 sprinkles fit on each cookie, 16 cookies on 60 cookies would be 960.
60 x 16 = 960
There is 1 serving of lemon juice to 3 cups water. Hence why it's 1:3 ratio.
Since it's 1:3, then 2 servings to 6 cups of water, so on and so forth.
Multiply your lemon juice servings by 3 to find out how many cups of water for the table.
To find how much lemon juice for 36 cups of water, just divide 36 by 3 to get 12. 12 servings of lemon juice is just right for your 36 cups of water.
The independent variables are the cost for one ticket and the number of student tickets. The cost of the tickets depends on the number of student tickets being purchased. The equation would be c = 7s.
