Answer:
(2,2)
Step-by-step explanation:
step 1
Find the equation of f(x)
is a line that passes through the points (0,6) and (3,0)
Find the slope
The function f(x) in slope intercept form is equal to
step 2
Find the inverse
Let y=f(x)
Exchange the variables x for y and y for x
Isolate the variable y
Let
step 3
Solve the system of equations
equate both functions
solve for x
substitute the value of x in any of the functions
The solution is the point (2,2)
therefore
Their point of intersection is (2,2)
For 2x^2 + 3x = -1 => 2x^2 + 3x + 1 = 0 => a = 2, b = 3, c = 1
b^2 - 4ac = 3^2 - (4 x 2 x 1) = 9 - 8 = 1
Answer:
8.5 cm
Step-by-step explanation:
original length: x
3.5x = 29.75
divide both sides of equation by 3.5
x = 8.5 cm
Answer:
2 * 10^2 times
Step-by-step explanation:
Given:
Population of Bloomington = 2.4 * 10^6
Population of Smallville = 12000
How many times greater is the population of Bloomington than Smallville ;
Population of Bloomington / Population of Smallville
2.4 * 10^6 / 12000
2.4 * 10^6 / 1.2 * 10^4
= 2 * 10^(6 - 4)
= 2 * 10^2
= 2 * 10^2 times
Answer:look at the picture below
Step-by-step explanation:
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