Answer:
Third option: The graph moves left 18 units.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is shifted up "k" units.
If 
, the function is shifted down "k" units.
If 
, the function is shifted left "k" units.
If 
, the function is shifted right "k" units.
In this case, we can observe that graph of 
is changed to 
Since:
We can conclude that the function is shifted left 18 units to get the function .
Answer:
The hypotenuse of the triangle measures 13 inches.
Step-by-step explanation:
Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:
5 ^ 2 + 12 ^ 2 = X ^ 2
25 + 144 = X ^ 2
√169 = X
13 = X
Therefore, the hypotenuse of the triangle measures 13 inches.
The best thing to do is to find 10% then add it on.
You find 10% by dividing by 10
15.00/10= $1.50
Therefore, you add to the price.
15.99+1.50= 16.50
Therefore, your answer is B,
hope this helps :)
9514 1404 393
Answer:
1. multiply both sides by 3
2. (a) chose to multiply by 2/3 instead of 3/2; (b) did the multiplications incorrectly, both for the fraction and the integer; (c) x = 9
Step-by-step explanation:
1. If you want to "clear fractions," you multiply by the denominator of the fraction.
3(2/3)x = 3(6)
2x = 18
__
2. The coefficient of x is 2/3. If you want it to be 1, you need to multiply by the multiplicative inverse of 2/3, which is 3/2. Doing that gives ...
(3/2)(2/3)x = (3/2)6
Then simplifying gives ...
x = 18/2 = 9
__
Trey's mistakes were: a) choosing the wrong multiplier; b) carrying out the multiplication incorrectly. (2/3)(2/3) = 4/9, and 6(2/3) = 4. Had Trey done the multiplications correctly, he would have seen that he needed a different multiplier to get to the answer.
