Answer:
y = 6/5
Step-by-step explanation:
3x - 5y = -3
Let x =1
3(1) - 5y = -3
3-5y = -3
Subtract 3 from each side
3-3-5y = -3-3
-5y = -6
Divide each side by -5
-5y/-5 = -6/-5
y = 6/5
Part A
Your problem statement already shows you the conversion.
Bottles purchased: 5×10¹⁰
Bottles recycled: 8.3×10⁹
Part B
The ratio of bottles purchased to bottles recycled is
... (5×10¹⁰)/(8.3×10⁹) = 0.6×10¹ = 6.0
The number of bottles purchased is 6 times the number of bottles recycle.
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x. Our c is 100 and our b is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when x=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
We have been given gross domestic product (in billions of dollars) can be approximated by 
.
(a) In this part, we need to compute the derivative of this function:
(b) In this part, we need to find the value of P'(45). So, we will substitute t=45
Billion dollars per year.
(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.
Answer:
Step-by-step explanation:
-8 (x - 3y - 9) = distribute the -8 through the parenthesis
-8(x) - 8(-3y) - 8(-9) =
-8x + 24y + 72
this is the distributive property....u are distributing the -8 through the parenthesis...what that means is ur multiplying -8 by everything in the parenthesis....you do this to remove the parenthesis
