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denis23 [38]
3 years ago
13

rebecca purchased a total of 17 books and toys for the woodbine play school. each book cost 6 dollars and each toy costs 11 doll

ar. how many book and toys did she buy for $152
Mathematics
1 answer:
DochEvi [55]3 years ago
8 0
Let x= the number of books purchased: 7 books purchased  
let y = the number of toys purchased;10 toys purchased  
Equations: x+y=17
                 6x+11y=152             x+10=17
-6(x+y=17)          y=10                  -10  -10
                                                    ------------
-6x-6y=-102                                     x=7
6x+11y=152
--------------------
0x+5y=50
     ----  ----
      5     5
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Explanation:

We want to avoid having a negative number under the square root. Solving x-4 \ge 0 leads to x \ge 4

So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.

So in reality, the domain is x > 4.

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The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.

We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression \frac{3}{\sqrt{x-4}} is positive because positive/positive = positive.

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The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).

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Step-by-step explanation:

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Therefore the  given  fractional  expression becomes  

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

The solved  given fractional expression  is  \frac{6}{2}+\frac{8}{3}=\frac{17}{3}

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