Answer:
11=0
or
-11=0
keep in mind that you get these answers by completely simplifying the equation, but they are both false
Step-by-step explanation:
step 1: simplify both sides
2-16.5 simplifies to -14.5
4-7.5 simplifies to -3.5
so you get -3.5 = -14.5
step 2: add one side to the other to get a zero on one side
add 3.5 on both sides to get 0=-11
or
add 14.5 on both sides to get 11=0
step 3: evaluate the statement
since both -11 and 11 are not equal to 0, this statement is false
Answer: y=3
Step-by-step explanation: 6(4.5y−12)=9
Step 1: Simplify both sides of the equation.
6(4.5y−12)=9
(6)(4.5y)+(6)(−12)=9(Distribute)
27y+−72=9
27y−72=9
Step 2: Add 72 to both sides.
27y−72+72=9+72
27y=81
Step 3: Divide both sides by 27.
27y/27 =81/27
Answer:
g and f are inverse functions because g(f(x)) = f(g(x)) = x
Step-by-step explanation:
Let's start by finding f(g(x)) and g(f(x)). As we discussed in another question, to find a composite function, apply the outer function to whatever the inner function evaluates to. We can start with f(g(x)):
Now, let's find g(f(x)):
There is a property that says that if f(g(x)) = g(f(x)) = x, the two functions are inverse. This suggests that g and f are inverse functions. We can verify this by taking one function, switching y and x, and then solving for y. If we complete this process and find that we get the OTHER function, it means the two functions are inverse. Let's try that:
Swap x and y:
Solve for y:
Notice that we got g, which means f and g are inverse.
Answer:
$4199.88
Step-by-step explanation:
We're gonna use the compound interest formula: P = A(1 + r/n)^nt
P = final amount
A = starting amount (4,1111)
r = rate (0.0107)
n = times applied (12 since it's quarterly)
t = years (2 x 12 = 24)
P = 4,111(1 + 0.0107/12)^24
P = 4,111(1 + .0008916666...)^24
P = 4,111(1.021621)
P = 4,199.883441
Round it to 4199.88
Answer:
Number of males: 30
Number of females: 14
Step-by-step explanation:
Let x be the number of males
Males: x
Females: x - 16
x + x - 16 = 44
2x = 44 + 16
2x = 60
x = 30
Males: 30
Females 30 - 16 = 14
