Answer: Let x represent the cost of one of Tanya's items.
Then the cost of one of Tony's items =x - 2.25. But we have:
3x =4(x - 2.25)
3x =4x - 9 subtract 3x from both sides
0 =x - 9 add 9 to both sides
x=$9 The cost of one of Tanya's items
27 Total cost of Tanya's 3 items
2.25 =$6.75 cost of one of Tony's items.
27 Total cost of Tony's 4 items.
3 x 6.75 =$27. This shows that both Tony and Tanya spent the same amount of money.
Step-by-step explanation:
Ok so we have the first portion. We need to do cross multiplication first. So that would be 20(2x - 9) and 10(9)
So
20(2x - 9)=90
40x - 180=90
Then add 180 to itself then to 90
40x=270
X=6.75
Now let’s set the next one up knowing what we know from the previous one.
18(3x + 4)= 12(15)
54x + 72=180
Subtract 72 from it’s self and 180
54x=108
X=2
Answer:
use pythogarus therom u'll get the answer
see yaa
There are different way but I will give you 2 ways;
1. Learn the definition of the domain. The domain is defined as the set of input values for which the function produces an output value. In other words, the domain is the full set of x-values that can be plugged into a function to produce a y-value.
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2. Learn how to find the domain of a variety of functions. The type of function will determine the best method for finding a domain. Here are the basics that you need to know about each type of function, which will be explained in the next section:
A polynomial function without radicals or variables in the denominator. For this type of function, the domain is all real numbers.
A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation.
A function with a variable inside a radical sign. To find the domain of this type of function, just set the terms inside the radical sign to >0 and solve to find the values that would work for x.
A function using the natural log (ln). Just set the terms in the parentheses to >0 and solve.
A graph. Check out the graph to see which values work for x.
A relation. This will be a list of x and y coordinates. Your domain will simply be a list of x coordinates.
Answer:
S(x) = x² + 390224/x
Step-by-step explanation:
Volume of the open box = V = 97556 cm³
Material needed:
Let´s call x the side of the square base then the area of the base is
A(b) = x²
For the sides of the box, we have 4 sides each one with area of x*h
where h is the height of the box
The volume of the box V(b) = 97556 = x²*h then h = 97556/x²
S(x,h) = x² + 4*x*h*
The surface area of the box as function of x is:
S(x) = x² + 4*x*97556/x²
S(x) = x² + 390224/x