Answer:
4
Step-by-step explanation:
(x-4)(2x+3)
(x-4) remove x to leave you with 4
x- (x-4) (4)
Equation : 2x - 3 = 45
Paula sold 24 packages last year
Step-by-step explanation:
<u>DATA:</u>
Number of packages Paula sold this year = 45 packages
This year's packages are 3 less than twice the number of packages sold last year.
- Twice the number of packages sold last year
Let's assume the number of packages sold last year to be x
2x
Equation:
2x - 3 = 45
<u>Solution:</u>
2x - 3 = 45
2x = 48
x = 24
Therefore, Paula sold 24 packages last year.
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Answer:
318.2 ml
Step-by-step explanation:
Jamie has 100 ml of a 50% isopropyl alcohol solution.
She wants to prepare a solution of 85% by adding 96% solution of isopropyl alcohol solution.
Let the amount of 96% solution required = x ml
Final amount of 85% isopropyl alcohol solution = (100 + x) ml
Therefore, equation for this situation will be,
100 × (50%) + (x) × (96%) = (100 + x) × (85%)
100(0.5) + 0.96x = 0.85(100 + x)
50 + 0.96x = 85 + 0.85x
0.96x - 0.85x = 85 - 50
0.11x = 35
x = 
x = 318.18 ml
≈ 318.2 ml
Therefore, she will require 318.2 ml of 96% isopropyl alcohol solution.
Using the quotient rule
dy/dx = (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
----------------------------------------------
(x^2 - 1)^2
You are correct
Isn't it impossible to drink from an empty bottle?