Answer:
Option D)Neither solution is extraneous.
Step-by-step explanation:
we have
we know that
two possible solutions are x=-7 and x=1
<u><em>Verify each solution</em></u>
Substitute each value of x in the expression above and interpret the results
1) For x=-7
----> is true
therefore
x=-7 is not a an extraneous solution
2) For x=1
----> is true
therefore
x=1 is not a an extraneous solution
therefore
Neither solution is extraneous
Answer:
Triangular prism with base being an equilateral triangle with side of 9.
<u>Area of equilateral triangle with side a:</u>
<u>Volume:</u>
- V = bh = (√3/4)a²h = (√3/4)9²*14 = 491.0 cm³
<u>Surface area:</u>
- A = 3ah + √3/2*a² = 3*9*14 + √3/2*9² = 448.1 cm²
He buys a pack of 3 oranges for $2....2/3 = 0.67...thats 67 cents per orange
he sells a pack of 2 oranges for $3....3/2 = 1.50...thats 1.50 per orange
so if he buys it for 0.67 and sells it for 1.50....1.50 - 0.67 = 0.83....he makes a profit of 0.83 cents per orange
0.83x = 50
x = 50/0.83
x = 60.24....he would have to sell 61 <==
check...
0.83(61) = 50.63
and u see, if he sold 60....0.83(60) = 49.80...he wouldn't quite make the profit of 50.
