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9514 1404 393
Answer:
2 nickels, 9 dimes
Step-by-step explanation:
When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the <em>unshaded</em> area the solution space. Here, the vertices of the triangular solution space are ...
(2, 9), (2, 13), (6, 9)
Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.
__
Three solutions are shown:
(x, y) = (2, 9), (3, 10), (4, 11)
<u>B) </u>
<u>C) </u> volume = .
<u>Step-by-step explanation:</u>
Here we have , The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the open box is (x-2) cm. We need to find the following :
a) show that 2x^2+5x-58=0
We know that area of rectangle =
⇒
Putting values according to question we get :
⇒
⇒
⇒
b) solve the equation in the question above, giving your answer to 2 decimal places
Solving this equation :
⇒
By quadratic formula
⇒
⇒
⇒
⇒ { Since side can't be negative ! }
⇒
c) calculate the volume of the box, stating units of you answer
Since x = 4.28 , other sides are
We know that volume is given by :
⇒
⇒
⇒
Therefore , volume = .