Answer and Step-by-step explanation:
Alright, so when creating any type of math problem, it is important to identify the parts of the problem and where they go. First, we need to start by putting the problem together. We will use one of the most common forms of equations of math, also known as the linear equation of <em>y=mx+b.</em>
So we have: S(w)=__x + __. S(w) is also equal to f(x), which is also equal to y. So: y= __x + __.
Let's start filling this equation in. So, because it says that she will <em>add 25 dollars each week</em>, The problem is addition. Also, the 25 dollars each week will represent the mx in this situation. Here's why:
The x in this can stand for the amount of week she added this 25 dollars to her account. So:
y= 25x + __.
Now, we can add the 150 to the problem because that is what she started with for this one-time deal. So now we have:
y= 25x + 150.
You can now where everything is represented, but we are not done. Let's change y and x back into S(w) and w like the question asks us to have. So:
S(w)= 25w + 150.
If you want to solve this question, just replace the number of weeks in place of all w's in the equation, like this: S(2)= 25(2) + 150.
I hope that this helps.
Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)² ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2 ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function
So, as a conclusion:
f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function
f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function
<u>Answer:</u>
x = 4 (extraneous solution)
<u>Step-by-step explanation:</u>
This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back 
, we will get two fractions with zero denominator which would be undefined.
Measure of the interior angle: 180 -113: 67
the measure of interior angle is 67.
