Let x = your number.
x^2 - 21 = 4x. Subtract 4x from both sides.
x^2 - 4x - 21 = 0. Factor.
(x - 7) (x + 3) = 0. Set each term to 0.
x + 3 = 0. Subtract 3 from both sides.
x = -3. This is the negative solution.
Set the other term equal to zero.
x - 7 = 0. Add 7 to each side.
x = 7. This is the positive solution.
Answer:
y = 4
Step-by-step explanation:
The form of the exponential function is y = a
Use the given points to solve for a and b
Using (0, 4 ), then
4 = a ( = 1 ), thus a = 4
y = 4
Using (2, 196 ), then
196 = 4b² ( divide both sides by 4 )
49 = b² ( take the square root of both sides )
b = = 7
y = 4 ← exponential function
Answer: Their weekly pay would be the same if xx equals $1,600
Step-by-step explanation: The first and most important step is to identify what the question requires, and that is, what is the value of the unknown in the equation of their weekly incomes that would make their pay to be the same? Their weekly pay as per individual is given as follows;
Khloe = 245 + 0.095x ———(1)
Emma = 285 + 0.07x ———(2)
Simply put, we need to find the value of x when equation (1) equals equation (2)
245 + 0.095x = 285 + 0.07x
Collect like terms and we now have
0.095x - 0.07x = 285 - 245
0.025x = 40
Divide both sides of the equation by 0.025
x = 1600
Therefore their weekly pay would be at the same level, if x equals $1600
Answer:
Step-by-step explanation:
Given
Peter hits
Mary hits
Required
The probability that Mary wins
From the question, we understand that Peter throws the first.
If Mary is to win, then Peter has to lose his throw
Using the complement rule, the probability that Peter misses is:
So, the probability that Mary wins is:
This gives:
Answer:
I think its x=2 sorry if im wrong
Step-by-step explanation: