Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts
Since 8 ounces (oz.) of peanuts is used to produce a package of mix A and 6 ounces (oz.) of peanuts is used to produce a package of mix B. Also, No more than 120 oz. of peanuts can be used each day. This can be represented by the inequality:
8x + 6y ≤ 120 (1)
4 ounces (oz.) of cashew is used to produce a package of mix A and 6 ounces (oz.) of cashew is used to produce a package of mix B. Also, No more than 96 oz. of peanuts can be used each day. This can be represented by the inequality:
4x + 6y ≤ 96 (2)
The inequality from equation 1 and equation 2 is graphed using geogebra online graphing.
If x, y ≥ 0, the solution to the problem is:
(0, 0), (0, 16), (15,0), (6, 12)
9 × 13<em>ˣ</em> = 9 × exp(ln(13<em>ˣ </em>))
… = 9 × exp(<em>x</em> ln(13))
… = <em>A</em>₀ × exp(<em>kx</em>)
so that
<em>A</em>₀ = 9
<em>k</em> = ln(13)
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
Equating the expressions for y gives ...
-1/4x +6 = x +1
5 = 5/4x . . . . . . . add 1/4x-1
4 = x . . . . . . . . . . multiply by 4/5
y = x +1 = 4 +1
y = 5
The solution is (x, y) = (4, 5).
Answer:
4.) 12
Step-by-step explanation:
