Answer:
<em>The x-coordinate is changing at 10 cm/s</em>
Step-by-step explanation:
<u>Rate of Change</u>
Suppose two variables x and y are related by a given function y=f(x). If they both change with respect to a third variable (time, for instance), the rate of change of them is computed as the derivative using the chain rule:
We have
Or, equivalently
We need to know the rate of change of x respect to t. We'll use implicit differentiation:
Solving for dx/dt
Plugging in the values x=1, y=3, dy/dt=5
The x-coordinate is changing at 10 cm/s
Answer:
z (min) = 705
x₁ = 10
x₂ = 9
Step-by-step explanation:
Let´s call x₁ quantity of food I ( in ou ) and x₂ quantity of food II ( in ou)
units of vit. C units of vit.E Cholesterol by ou
x₁ 32 9 48
x₂ 16 18 25
Objective function z
z = 48*x₁ + 25*x₂ To minimize
Subject to:
1.-Total units of vit. C at least 464
32*x₁ + 16*x₂ ≥ 464
2.- Total units of vit. E at least 252
9*x₁ + 18*x₂ ≥ 252
3.- Quantity of ou per day
x₁ + x₂ ≤ 35
General constraints x₁ ≥ 0 x₂ ≥ 0
Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:
z (min) = 705
x₁ = 10
x₂ = 9
Answer:
#4.
- 3 < - 2 1/2
If you consider the number line, the numbers increase from left to right. The number on the left is smaller than a number on the right.
- 3 is smaller than -2 1/2, it means -3 is on the left from the -2 1/2 on the number line.
#5.
Jada's score is positive, it means the number reflecting the score is to the right from zero on the number line.
Isabel's score is negative, it means the number reflecting the score is to the left from zero on the number line.
Since Isabel's score is to the left from the Jada's score, she has lower score than Jada.
With the lowest score, Isabel is the winner.
Answer:
Slope= -7
Step-by-step explanation:
I like to use the rise/run method.
Take the point at (1,-2) and count up to (1, 7). Then because it is going left, you count your run over 3 points. Or you could do.
Answer:
2.45
Step-by-step explanation:
