Answer:
Linear functions are equations where the greatest power of the variable (typically x) is 1;
They are graphed as straight lines;
So, any function that has the following format:
f(x) = ax + b;
Nonlinear functions would be any equation that has a variable to a power greater than 1;
This could be a quadratic equation or an exponential equation
Answer:
Step-by-step explanation:
The answer depends on whether the interest is simple or compound.
For simple interest:
A = 670(1 + 0.08)(24)
For compound interest
A = 670(1 + 0.08)24
Answer:
Option A - Neither. Lines intersect but are not perpendicular. One Solution.
Option B - Lines are equivalent. Infinitely many solutions
Option C - Lines are perpendicular. Only one solution
Option D - Lines are parallel. No solution
Step-by-step explanation:
The slope equation is known as;
y = mx + c
Where m is slope and c is intercept.
Now, two lines are parallel if their slopes are equal.
Looking at the options;
Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.
Thus,the lines are parrallel, no solution.
Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.
Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.
Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.
Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.
Option B falls into this category.
Answer:
AAS
Step-by-step explanation:
So consectuve even numbers
we know that one even number plus 2= another even number so we want to find 3 consecutive even numbers that add up to 96 or
x is the first number
x+2 is the second number
x+4 is the third number
x+x+2+x+4=96
3x+6=96
subtract 6 from both sides
3x=90
divide both sides by 3
x=30
the first number is 30
x+2=32=second number
x+4=34=third number
the numbers are 30,32,34
