2(v-8)-8v=26 solve v
2 answers:
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The monthly income is $844.
Given:
- Weekly earning after taxes is $700
- Monthly rent is $725
- Monthly expense for utilities is $125
- Monthly expense for cable/internet is $120
- Monthly expense for cellphone is $35
- Monthly expense for bus fare is $48
- Minimum monthly payment of credit card debt is $78
- Monthly expense for groceries is $600
- Monthly expense for dining out and entertainment is $225
To find: The monthly income
The monthly income refers to the amount of money left over each month after paying all expenses.
Evaluating, we have,
The total monthly expense = $()
That is, the total monthly expense is $1956.
It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $(), that is, $2800.
Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $(), that is, $844.
The monthly income is $844.
Learn more about income and expenses here:
Answer:
The graph of f(x) is shifted up 50 units
The graph of f(x) is shifted right 10 units
The graph of f(x) is reflected over the x-axis
Step-by-step explanation:
we have
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the origin (0,0)
This is a vertical parabola open downward
The vertex is a maximum
The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.
Find the vertex of g(x)
Convert to vertex form
Complete the square
The vertex is the point (10,50)
so
To translate the vertex of (0,0) to (10,50)
The rule of the translation is
(x,y) ------> (x+10,y+50)
That means ----> The translation is 10 units at right and 50 units up
therefore
The transformations are
The graph of f(x) is shifted up 50 units
The graph of f(x) is shifted right 10 units
The graph of f(x) is reflected over the x-axis
Answer:
see below
Step-by-step explanation:
The function f(x) is the absolute value function scaled vertically and shifted up. Neither of those transformations affects the interval on which it is increasing. The absolute value function increases for x > 0. (It is neither increasing nor decreasing at x=0.)
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The function g(x) is a parabola that opens downward. Consequently, it is increasing for all values of x to the left of its vertex (or line of symmetry). That line of symmetry can be found as ...
x = -b/(2a) = -(8)/(2·(-1)) = 4
So g(x) is increasing from -∞ to 4, but at x=4 is neither increasing nor decreasing.
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Then the interval on which both functions are increasing is ...
{x > 0} ∩ {x < 4} = {0 < x < 4}
This will be graphed as a line between 0 and 4 with open circles at each end.
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The second attachment shows the two functions so you can see where their slopes are positive.
