Write a system of equations to describe the situation below, solve using any method, and Fill in the blanks.
1 answer:
Answer:
1 haircut = 47 dollars
1 colouring = 98 dollars
Step-by-step explanation:
Let be equal to the cost of 1 haircut.
Let be equal to the cost of 1 colouring treatment.
<u>1) Form equations</u>
Equation 1: 3 haircuts + 1 colour = 239 dollars
⇒
Equation 2: 2 haircuts + 1 colour = 192 dollars
⇒
<u>2) Solve the system of equations</u>
Subtract equation 2 from equation 1 to cancel out y (elimination)
-
⇒
Therefore, Natalie charges 47 dollars for 1 haircut.
Plug x back into one of the equations to solve for y
Subtract both sides by 94
Therefore, Natalie charges 98 dollars for 1 colouring treatment.
I hope this helps!
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Answer:
Step-by-step explanation:
Let's solve:
Step 1: Simplify both sides of the equation.
Step 2: Add 3x to both sides.
Step 3: Subtract 4 from both sides.
Step 4: Divide both sides by -1.
Therefore, the answer will be x = 4.
Answer:
Step-by-step explanation:
The function that we have to study in this problem is
The domain of a function is defined as the set of all the possible values of x that the function can take.
For a square-root function, there are some limitations to the possible value of the argument in the root.
In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.
Therefore, in this case, we have to set the following condition for the domain:
And by solving, we get
which means that the domain of this function is all real numbers equal or greater than 5.