Answer:
d) the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.
-2/+1 = -2. this means the slope of f(x) = -2.
finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)
Recursive formula expresses a term in a sequence in terms of the previous term(s).
Given that Pat earns $25,000 the first year and receives a raise of $1000 each year. This means that the first term is $25,000 and each successive term is obtained by adding $1,000 to the previous term, i.e.
Therefore, the r<span>ule that best represents the equivalent recursive formula is:
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1/3d is the coefficient of this problem.
Answer:
x = ±3
Step-by-step explanation:
(3x² + 27)(x² - 9) = 0
(3x² + 27)(x + 3)(x - 3) = 0
3x² = -27
x² = -9
x = √-9 (this will result in an imaginary number)
x + 3 = 0
x = -3
x - 3 = 0
x = 3
Our system of equations is:
y = -3x + 9
y = -x - 5
To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.
y = -3x + 9
-x - 5 = -3x + 9
Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.
-x - 5 = -3x + 9
2x - 5 = 9
2x = 14
Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.
x = 7
Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.
y = -3x + 9
y = -3(7) + 9
To simplify, we must multiply through the parentheses and combine like terms by addition.
y = -21 + 9
y = -12
Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).
Hope this helps!