Answer: 15/24 + 6/24 = 21/24
Step-by-step explanation
when you put the new denominator (which is 28 on both fractions) you have to multiply the numerator by how many times it takes the denominator. example. 5/8 8 can go into 24, 3 times so u multiply
5 by 3 same with the other side just u multiply 3 by 2
Answer/Step-by-step explanation:
Given:
-x + 3x + 1 + 4(x + 2) = 54
To solve, first open the bracket by applying the distributive property. Multiply every term you have in the bracket by 4
-x + 3x + 1 + 4x + 8 = 54
Add like terms together
6x + 9 = 54
Subtract 9 from each side
6x = 54 - 9
6x = 45
Divide both sides by 6
x = 45/6
x = 7.5
(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
Notice that we get back the first two terms, the and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence,
(b)
(c) , square root both sides plus and minus of 2 Hence
Answer:
B. 3.79797979797979
Step-by-step explanation:
Answer:
1. There is a vertical shift.
Step-by-step explanation:
The component +60 translates the original function in the 
direction. The operation is described by following formula:
(1)
Where:
- Original function.
- Resulting function.
- Vertical translation distance.
Since resulting function is a consequence of a translation in direction, then 
. Hence, correct answer is 1.
