Answer:
The domain is all real numbers (see the explanation)
Step-by-step explanation:
we have
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (-5,-5)
we know that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
In this problem
The domain is the interval (-∞,∞)
The domain is all real numbers
The range is the interval [-5,∞)
All real numbers greater than or equal to -5
Rachel needs to work 64 hours to earn 1 vacati on day
T+b=90
is an equation that models the number of tacos and burritos she can order
2l+2w=24
l=3+w
The first equation comes from the perimeter formula. Since it is a rectangle, there are two lengths and two widths, which must all be added to get the perimeter. The second equation shows that the length is equal to the width plus three. In order to solve this equation, the substitution method should be used, since the one equation is already set equal to one of the variables (L)
2l+2w=24
l=3+w
2(3+w)+2w=24
Use distributive property to get rid of the parentheses
2(3+w)+2w=24
2(3)+2(w)+2w=24
6+2w+2w=24
Simplify like terms on the left side of the equation
6+2w+2w=24
6+4w=24
Subtract six from each side so that all of the w's are on one side
6+4w-6=24-6
4w=18
Divide each side by four to find the value of one w
4w/4=18/4
w=4.5
Plug 4.5 into the one equation to find the value of l
l=3+4.5
l=7.5
Put the numbers into the first equation and simplify:
2(7.5)+2(4.5)=24
15+9=24
24=24
So the length would be 7.5 inches, and the width would be 4.5 inches
Answer:
Step-by-step explanation:
Let Ram's salary = ₹ x
Money donated to NGO = (2/3) of x
Money spent on food items = (1/5) of x
Other expenses = (1/5) of x
Balance amount = ₹ 9000
x = 9000 * 15
x = ₹ 135000
