F(x) = 1/(x+2) & g(x) = x/(x-3)
(f(x) + g(x) = 1/(x+2) + x/(x-3). Reduce to same denominator:
1/(x+2) + x/(x-3) =(x-3) + x(x-3)/(x+2).(x-3) ==> (x²+3x-3)/(x+2).(x-3)
Answer:
Exact Form:
x= -23/2
Decimal:
x= -11.5
Mixed Number:
x= -11/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
y>(line under >) - 4/5x + 8
Step-by-step explanation:
Phrase "at least" indicates that the total number of pies is greater than or equal to 120.
The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.
Use this information to create the inequality:
12x + 15y >(line under >) 120
Simplify by solving for y to get this inequality:
y >(line under >) - 4/5x + 8
Answer:
The product of Victor's age and 7 is 84 in equation form is 7v=84
Step-by-step explanation:
Let v be the Victor's age.
We are supposed to Translate this sentence into an equation
The product of Victor's age and 7 is 84
Victor's age = v
Product of victor's age and 7 =
We are given that their product is 84
So,
Hence The product of Victor's age and 7 is 84 in equation form is 7v=84
Answer:
Two parallel lines
Step-by-step explanation:
the slopes are the same: slope = 3
f(x) 3x + 5 g(x) = 3x - 2
Pick at least three x values and find their corresponding values for y. Remember the f(x) and g(x) represent y
f(x) = 3x + 5 g(x) = 3x - 2
y = 3x + 5 y = 3x - 2
let x = 0 y = 3(0) + 5 y = 3(0) - 2
y = 5 y = -2
Ordered pair (0, 5) (0, -2)
Let x = 1 y = 3(1) +5 y = 3(1) - 2
y = 8 y = 1
ordered pair (1, 8) (1, 1)
Let x = -1 y = 3(-1) + 5 y = 3(-1) - 2
y = 2 y = -5
ordered pair (-1, 2) ( -1, -5)
Locate the ordered pairs and draw the graph on the lines.
you will graph two parallel lines
