A: Slope-intercept form: y = 2 x − 1 Point-slope form: y − 7 = 2 ⋅ ( x − 4 )
B: Slope-intercept form: y = 4 x + 7 Point-slope form: y + 1 = 4 ⋅ ( x + 2 )
C: Slope-intercept form: y = 1/2 x − 8 Point-slope form: y + 4 = 1/2 ⋅ ( x − 8 )
Hi there!
Answer:
length = 9 kilometres
Width = 12 kilometres
Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.
Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.
The area of a rectangle can be found by using the formula:
A = width × length
Plug in the data from the formula
A = x (2x - 6).
Simplify using rainbow technique.
Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.
Subtract 108
Divide by 2.
Rule AB = 0, gives A is 0 or B is 0.
The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).
Length
Width
Answer:
length = 9 kilometres
Width = 12 kilometres
~ Hope this helps you!
Answer:
The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=
Step-by-step explanation:
An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:
If f(a)=b then f⁻¹(b)=a
That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.
To construct or calculate the inverse function of any function, you must follow the steps below:
Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values (that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.
You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150
Solving for x:
2.5*x +150=y
2.5*x= y-150
Exchanging the variable, you obtain that <u><em>the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=</em></u><u><em></em></u>
Step-by-step explanation:
Hello,
Your answers and explanations are below.
6 - 5xy
5 times the product of x and y. The product of x and y means to multiply. That is where we get this: xy. 5 times that product is where we add 5 to it and get this: 5xy.
7 - 4x
We get this because we know he gets $4 an hour. We just do not know how many hours he babysat. The hours is X and we multiply that by 4.
8 - 5.5
Take 8.3 and subtract 2.8 to find x. Once we do that we get 5.5, and that is X.
9 - We can't see the problem. It's cut off
Good Luck,
- I.A. -