Given:
In a two-digit number, the tens digit is 5 less than the units digit.
The number itself is five more than three times the sum of its digits.
To find:
The number.
Solution:
Let the two digit number is ab. So,
Tens digit is 5 less than the units digit.
...(i)
The number itself is five more than three times the sum of its digits.
...(ii)
Using (i) and (ii), we get
Putting b=8 in (i), we get
Therefore, the required number is 38.
The range of a function is the set of y-coordinates.
The y-coordinates are 1, 4, 4, 2.
In a set you only put each number once, so the range is {1, 2, 4}.
To work out who the unknowns in the room are, we can establish that c = p+ 9
c + p = 25. The unknowns in the room are there the total number of
parents in the room, and the total number of teachers in the room.
Answer:
x² + 2x + (3 / (x − 1))
Step-by-step explanation:
Start by setting up the division:
.........____________
x − 1 | x³ + x² − 2x + 3
Start with the first term, x³. Divided by x, that's x². So:
.........____x²______
x − 1 | x³ + x² − 2x + 3
Multiply x − 1 by x², subtract the result, and drop down the next term:
.........____x²______
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Repeat the process over again. First term is 2x². Divided by x is 2x. So:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Multiply, subtract the result, and drop down the next term:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
.................-(2x² − 2x)
.................---------------
.....................................3
x doesn't divide into 3, so that's the remainder.
Therefore, the answer is:
x² + 2x + (3 / (x − 1))
the x intercept is where the line crosses the x axis or where y=0
so set y=0 and solve for x
0=-2x-1
solve for x
add 2x to both sides
2x=-1
divide by 2
x=-1/2
the x intercept is at x=-1/2, the point is (-1/2,0)
