Answer:
48
Step-by-step explanation:
We are asked that the value of (4n + 7) will be an integer > 1 and < 200, for how many integer values of n.
So, equating (4n + 7) with 200 we can get the value.
4n + 7 = 200
⇒ 4n = 193
⇒ n = 48.25
Hence, the value of n will be the largest integer less than 48.25.
Therefore, the number of integer values of n will be 48. (Answer)
Answer:
Step-by-step explanation:
We are given the line y=2x+8. It is in slope-intercept form or y= mx+b, where m is the slope and b is the y-intercept.
The slope of the line is 2.
We want to find the equation that is perpendicular. Perpendicular lines have negative reciprocal slopes.
1. Negate
- Negate the slope, or switch the sign
- (+) 2 --> -2
2. Reciprocal
- Flip the numerator and denominator of the slope.
The perpendicular slope is -1/2, so the correct equation must be B.
Answer:
(5x-1)(6x^2+1)
Solution:
6x^2(5x-1)+5x-1
=30x^3-6x^2+5x-1
=(30x^3-6x^2) + (5x-1)
=6x^2(5x-1)+(5x-1)
=(5x-1)(6x^2+1)
HOPE THIS HELPS!
This breaks into two inequalities:
2x - 3 > 6
and
-2x + 3 > 6
------------------------
2x - 3 > 6
Add 3 to both sides:
2x > 9
Divide 2 to both sides:
x > 4.5
-----------------------
-2x + 3 > 6
Subtract 3 to both sides:
-2x > 3
Divide -2 to both sides:
x < -1.5
