Answer:
k = -3/5
h = 10/3
Step-by-step explanation:
3x + ky + 2 = 0
5x - y + h = 0
Divide both sides of the first equation by 3. Divide both sides of the second equation by 5.
x + (k/3)y + 2/3 = 0
x - (1/5)y + h/5 = 0
Since both equations represent the same line, the corresponding terms must be equal.
x = x
(k/3)y = -(1/5)y
2/3 = h/5
Solve the first equation for k and the second equation for h.
k/3 = -1/5
k = -3/5
h/5 = 2/3
h = 10/3
Use sum and difference formulas, where difference is positive.
Larger number = (sum+difference)/2 = (54+10)/2 = 32
Smaller number = (sum-difference)/2 = (54-10)/2 = 22
Answer:

Step-by-step explanation:
Let
y-----> the trout population
x----> the time in years
we know that


----->exponential function that models the trout population
Millie has a box of 100 cubes and a box of 70 cubes
she has 100+70 cubes together=170
She wants to make trains of 10 cubes each,
Which means,she needs to divide 170 with 10.
170/10
=17
she can make 17 trains of 10 cubes each..
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
<u>To calculate the gross margin, we need to deduct from the selling price the unitary cost:</u>
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50