Answer:
10√2
Step-by-step explanation:
If x=1+√2, evaluate x³+1/x³
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- x³+1/x³= (x+1/x)(x²-x*1/x+1/x²)=(x+1/x)(x²+1/x²+2-3)= (x+1/x)((x+1/x)²-3)
- x+1/x= 1+√2 + 1/(1+√2)= 1+√2+(1-√2)/(1-√2)(1+√2)= 1+√2 - (1-√2)= 2√2
- x³+1/x³= 2√2((2√2)²-3)= 2√2(8-3)= 10√2
6 pounds.
First, find the amount she spent. 70 - 18.88 = 51.12
Now, just divide 51.12 by the cost per pound. 51.12 / 8.52 = 6
So, Karen purchased 6 pounds of coffee.
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The answer is 165. Hope this helped :)
Answer:
This is an example of equation with two unknowns. Andre bought x pounds of zucchini and y pounds of broccoli and we also know that there was 10 pounds of veggies in total. So, we can write:
$1.5 • x + $2 • y = $17
x + y = 10
From the second equation we can say that:
y = 10 - x
We can now enter this value of y into the first equation:
1.5 • x + 2 • (10-x) = 17
1.5 • x + 20 - 2 • x = 17
1.5x - 2x = 17 - 20
-0.5x = -3
0.5x = 3
x = 6
If x=6, then y=10-6, which is 4.
That means that Andre bought 6 pounds of zucchini and 4 pounds of broccoli.
