Answer:
x ∈ {-4, 2}
Step-by-step explanation:
The x-coefficient (+2) is the sum of the constants in the binomial factors of the equation, and the constant term (-8) is their product.
Since you're familiar with the divisors of 8, you know that the two factors of -8 that total +2 are -2 and +4. These are the constants in the binomial factors:
f(x) = x^2 +2x -8
f(x) = (x -2)(x +4)
The roots of f(x) are the values of x that make these factors be zero. They are x=2 and x=-4.
The roots of f(x) are -4 and 2.
_____
Above is the solution by factoring. We can also "complete the square" to find the roots. Anytime we're looking for roots, we want the values of x that make f(x) = 0.
x^2 +2x -8 = 0
x^2 +2x = 8 . . . . . add the opposite of the constant
x^2 +2x +1 = 8 +1 . . . . . add the square of half the x-coefficient: (2/2)² = 1
(x +1)² = 9 . . . . . . . . . . . write as squares
x +1 = ±√9 = ±3 . . . . . . take the square root
x = -1 ± 3 . . . . . . . . . . . subtract 1
The roots are x=-4, x=2.
Answer:
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-1))/(-2-4)
m=(3+1)/-6
m=4/-6
simplify
m=-2/3
y-y1=m(x-x1)
y-(-1)=-2/3(x-4)
y+1=-2/3(x-4)
y+1=-2/3x+8/3
y=-2/3x+8/3-1
y=-2/3x+8/3-3/3
y=-2/3x+5/3
y-(-2/3x)=5/3
y+2/3x=5/3
2/3x+y=5/3
3(2/3x+y)=3(5/3)
2x+3y=5
2x+3y-5=0
Answer: option 1.
x f(x)
4 log (4) 4 = 1 ... because 4^1 = 4
16 log(4) 16 = 2 .... because 4^2 = 16
64 log (4) 64 = 3 .... because 4^3 = 64
will represent this linear model shown in the data table.
<h3>What will be the linear model for the given data?</h3>
Put the values of the x in the all given equations and then check the value of y if the value of y matches the given values in the option
So if we put the value x=1980 in the then
These values are closest to 70.1 whereas other options do not satisfy the condition.
Thus will represent this linear model shown in the data table.
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0 because companies A says he gets 80.000 dollars per year with a 1,000 dollars increase every year so companies B will higher have to wait 0 years to be higher than companies A
