Answer:
x = 4
y = 6
z = 5
Step-by-step explanation:
Let
bags of pecans = x
bags of walnuts = y
bags of almonds = z
x + y + z = 15
3x + 3.5y + 4z = 53
Two more bags of walnuts were sold than pecans.
Walnuts = x + 2
x + y + z = 15
3x + 3.5y + 4z = 53
x + x + 2 + z = 15
3x + 3.5(x+2) + 4z = 53
2x + z = 15 - 2
3x + 3.5x + 7 + 4z = 53
2x + z = 13 (1)
6.5x + 4z = 46 (2)
Multiply (1) by 4
8x + 4z = 52 (3)
6.5x + 4z = 46 (2)
Subtract (2) from (3)
8x - 6.5x = 52 - 46
1.5x = 6
Divide both sides by 1.5
x = 4 bags
y = x + 2
= 4 + 2
= 6
y = 6 bags
Substitute the value of x into (1)
2x + z = 13 (1)
2(4) + z = 13
8 + z = 13
z = 13 - 8
= 5
z = 5 bags
Check:
x + y + z = 15
4 + 6 + 5 = 15
(x - 5i√2)(x +5i√2)
given the roots of a polynomial p(x), say x = a and x = b
then the factors are (x - a)(x - b)
and p(x) is the product of the factors ⇒ p(x) = (x - a)(x - b)
here x² + 50 = 0 ⇒ x² = - 50 → ( set = 0 for roots)
take the square root of both sides
x = ± √-50 = ± √(25 × 2 × -1) = √25 × √2 × √-1 = ± 5i√2
The roots are x = ± 5i√2
thus the factors are ( x - ( - 5i√2)) and (x - (+5i√2))
x² + 50 = (x + 5i√2)(x - 5i√2)
Answer:
salmon and mashed potatoes
Step-by-step explanation:
yum
Answer: An elephant’s trunk is usually around 6 feet in length, but can be up to 7 feet long. The trunk alone can weigh as much as 140 kg and can hold 12 litres of water. How fast do elephants run? Elephants can run faster than you would expect, easily reaching speeds of 40 mph - a lot faster than us humans can run!
Step-by-step explanation:
