Answer:
f(x + 3) = x² + 3x - 2
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 3x - 2
f(x + 3) is x = x + 3
<u>Step 2: Find</u>
- Substitute: f(x + 3) = (x + 3)² - 3(x + 3) - 2
- Expand by FOILing: f(x + 3) = x² + 6x + 9 - 3(x + 3) - 2
- Distribute 3: f(x + 3) = x² + 6x + 9 - 3x - 9 - 2
- Combine like terms: f(x + 3) = x² + 3x - 2
Actually Welcome to the Concept of the Triangles.
Since there is a linear pair with 40° , the another angle will be 140° ,
also the triangle newly formed is a isosceles one,
hence x = 20°
===> x = 20°
Now apply angle sum property of a triangle on, the other one,
we get as, 70+40+y=180
hence, y = 180-110
y = 70°
Hence angle y ==> 70°
Answer:
12
Step-by-step explanation:
1/12 is reduced to its lowest point.
3/4 can be increased to 9/12 by:
× 
= 
So, the least common denominator is 12.
Answer: each candy bars costs 4 dollars
Step-by-step explanation:
subtract 3 from 19 then divide the answer by 4
Answer: 59
Step-by-step explanation:
Sum(-28 through -1) is returned to zero by sum(1 through 28), plus the integer 0.
This is 28*2+1 integers (57)
The next two in the series Sum(29 & 30) equal the desired 59.
This is a total of 57 + 2 integers = 59 integers
