Answer:
D
Step-by-step explanation:
it is the same exact equation, but backwards. Hope that this helps you and have a great day :)
A. y=-4x-4 where m=-4 and c=-4 for the equation y=mx+c
Answer:
5
Step-by-step explanation:
To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.
x + y = 17
x - y = 7
We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x
2x = 24
x = 12 (Divide both sides by 2)
Now that we know the value of x, we can substitute it into one of our original equations to solve for y.
12 + y = 17
y = 5 (Subtract 12 from both sides)
So, the smaller number is 5.
Step 1: Rewrite
2.5(6x-4)=10+4(1.5+0.5x)
Step 2: Distribute
Multiply 2.5 by 6 and then do the same to -4. MAKE SURE TO MULTIPLY 2.5 BY NEGATIVE 4 OR THE ANSWER WILL BE WRONG.
You should get:
15x-10=10+4(1.5+0.5x)
Step 3: Combine Like Terms
Look over the left side of the equation. If there are no numbers to combine, go to the right side. 10 and 4 are like terms. You may go ahead and combine them.
You should get:
15x-10=21+7x
Step 5: Combine Like Terms again
Now that you have no like terms on either side of the equation, you will combine them together. Confusing? Let me explain, you have a 15x and 7x on two sides of the equation and they are like terms. Since they are on different sides of the equation, you need to do the opposite of what you'd do if they were on the same side.
You should get:
8x=31
What I did was take the 7x (since its the lesser value) and subtract it by 15x and I got 8x. I then took the -10 and added it to 21.
Step 6: Divide
Now that you have 8x=31, you can simply divide and get your answer.
You should get:
x=3.875
Now, depending on what your problem is asking for, you would either round to the tenths or hundreths place.
There you go!
Answer:
Step-by-step explanation:
<u>The Inverse of a Function</u>
Given a function f(x), the inverse of f, called 
is a function that satisfies:
The domain of f becomes the range of its inverse and vice-versa.
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
* Solve the equation for x.
* Swap the variables
We are given the function:
Defined in the interval x ≥ -3
Note f is always negative, thus its range is f(x) ≤ 0
Now we find the inverse. Call y=f(x):
Multiplying by 2:
Squaring both sides:
Subtracting 3:
Swapping variables:
Thus:
The domain of the inverse is the range of f, thus x is restricted to
x ≤ 0
