Answer:
(x) = √ x + 4
Step-by-step explanation:
step 1) replace f(x) with y
y = x² - 4
step 2) switch the x and y (because every (x, y) has a (y, x))
x = y² - 4
step 3) add 4 to both sides of the equal sign
x + 4 = y²
step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)
√ x + 4 = y
step 5) you know have the inverse of f(x) = x² - 4
(x) = √ x + 4
Answer:
54$
Step-by-step explanation:
If 6% per year for 3 years, we can do 6 x 3 = 18 to find the total interest percent over all the years. Then we can do 18% of 300 = 54 Therefore, you will gain 54$ of simple in three years.
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Answer:
It is a many-to-one relation
Step-by-step explanation:
Given
See attachment for relation
Required
What type of function is it?
The relation can be represented as:
![\left[\begin{array}{c}x\\ \\-5\\-2\\1\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5C%20%5C%5C-5%5C%5C-2%5C%5C1%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{c}y\\ \\10\\11\\4\\10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dy%5C%5C%20%5C%5C10%5C%5C11%5C%5C4%5C%5C10%5Cend%7Barray%7D%5Cright%5D)
Where
and 
Notice that the range has an occurrence of 10 (twice)
i.e.
and 
In function and relations, when two different values in the domain point to the same value in the range implies that, <em>the relation is many to one.</em>
Answer:
4 hours
Step-by-step explanation:
25 pages -> 30 min
5 pages -> 6 min
200 pages -> 6*40 min =240 min
240/60= 4
Thus, the answer is 4 hours
Answer:
x = 26
y = 9
Step-by-step explanation:
(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)
Solve for x
5x - 17 + 3x - 11 = 180
Collect like terms
5x + 3x - 17 - 11 = 180
8x - 28 = 180
Add 28 to both sides
8x = 180 + 28
8x = 208
Divide both sides by 8
x = 208/8
x = 26
Also:
(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)
Plug in the value of x and solve for y
2y + 5 + 90 + 3(26) - 11 = 180
2y + 5 + 90 + 78 - 11 = 180
Collect like terms
2y + 162 = 180
Subtract 162 from both sides
2y = 180 - 162
2y = 18
y = 9 (dividing both sides by 2)
