Answer:
x = -3 or x = 5
Step-by-step explanation:
Solve: x^2 -2x = 15
x^2 - 2x - 15 = 0
Use the Diamond method of factoring
-15 = 3* -5 and 3 - 5 = -2 so...
x^2 - 2x - 15 = x^2 - 5x + 3x - 15
x^2 - 2x - 15 = x *(x - 5) + 3*(x - 5)
x^2 - 2x - 15 = (x + 3)*(x - 5)
x^2 - 2x - 15 = (x + 3)*(x - 5) = 0
solve (x + 3 ) = 0 and (x - 5) = 0
x = -3 or x = 5
The easiest way to find answers for questions like these is to convert them to improper fractions, solve, and then convert them back to mixed numbers (if the question required it). When we convert these to improper fractions, we have 7/4 and 19/8. We can then find the least common denominator of the 2 so that we can solve. The least common denominator is 8, and since we are multiplying the 4 by 2 to get it there, we must also multiply the 7 by 2. Now we have 19/8-14/8. At this point, we can use simple subtraction to subtract the numerators and get 5/8.
To summarize, Cameron used 5/8 more acid in the second experiment.
Radius = 5 cm
Height = 8 cm
Volume = πr²h
Volume = π(5 cm)² × 8 cm
Volume = π × 25 cm² × 8 cm
Volume = 200π cm³
The waitress gets 45/75 = 3/5 of the tips
so waitress gets 3/5 * 350 = $210
Answer:
Inequality = 6 + x ≤ 10
x(Number of hours more of television Sarah can still watch this week) = 4 hours
Step-by-step explanation:
Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
We are told in the question that:
Sarah is allowed to watch no more than 10 hours of television each week.
This means :
Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.
Hence:
The number of hours left that Sarah can watch television in a week is represented as x
Our Inequality Equation =
6hours + x hours ≤ 10 hours
6 + x ≤ 10
Solving the inequality
x ≤ 10 - 6
x ≤ 4 hours
This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week
