Answer:
x = -2 and 1
Step-by-step explanation:
Given :
f(x) = x+2
g(x) = -x²+4
The solution to the equation f(x) = g(x)
=> x+2 = -x²+4
=> x²+x = 4-2
=> x²+x -2 = 0
By factorisation
=> x²+2x-x -2 = 0
=> x(x+2) -1(x+2)
=> (x+2) (x-1)
x = -2 and 1
Answer:
The answer is the first one
Step-by-step explanation:
The cost of an adult ticket is $15
The price of an adult ticket is 1/2 the price of a student ticket plus $8
x is the cost of a student ticket, so
1/2(x) + $8 = $15
The answer to the first question is 30.
One of your friends gives you $10 for a charity walkathon -- this is your beginning amount.
Another friend gives you an amount per mile -- you will to calculate this value.
After 5 miles, you have raised $13.50 total --
-- Since one friend gave you $10.00, subtract this from the $13.50 to give you the amount by walking the 5 miles
-- $10.00 - $13.50 = $3.50
-- Since you walked 5 miles, divide $3.50 by 5 to give you $0.70 per mile earned.
So, an equation that represents the amount of money earned is: y = $0.70x+$10.00.
This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile and the intercept is $10.00 and represents the initial amount of money that you were given.
