Answer:
y=26, x=-3
Step-by-step explanation:
3x+y=17
3x+y-y=17-y
3x=17-y
Divide both sides by 3
Simplify
\frac{17-y}{3}+2y=49
\frac{17-y}{3}\cdot \:3+2y\cdot \:3=49\cdot \:3
17-y+6y=147
17+5y=147
17+5y-17=147-17
5y=130
\frac{5y}{5}=\frac{130}{5}
y=26
x=\frac{17-26}{3}
x=-3
The simplified fraction is 1 6\14 One and six fourteenths or 1 2\7 one and two sevenths
Answer:
$52.324
Step-by-step explanation:
Answer:
g(x) = e^(x + 2) + 2
Step-by-step explanation:
First, let's describe the shifts.
Vertical shift.
For a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
If N is positive, then the shift is upwards.
If N is negative, then the shift is downwards.
Horizontal shift.
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x - N)
If N is positive, the translation is to the right
If N is negative, the translation is to the left.
Now let's solve the question.
f(x) = e^x
First, we have a vertical shift up of 2 units, then:
g(x) = f(x) + 2
Now we have a shift to the left of 2 units:
g(x) = f(x - (-2)) + 2
g(x) = f(x + 2) + 2
Then:
g(x) = e^(x + 2) + 2
