Answer:
A. 3/5
Step-by-step explanation:
Simple math, 9/15. Divide both by 3.
3*3=9 and 3*5=15 so answer is 3/5!
Answer:
b
Step-by-step explanation:
Answer:
A. 31.4 feet
Step-by-step explanation:
The formula for circumference is given by
C = pi d
Since we know the diameter is 10 ft
C = pi * 10
pi is approximately 3.14
C = 3.14* 10
C = 31.4 ft
X-2
--------- greater than or equal to 6
2(x+3)
First, clear out the fraction. Mult. both sides of this inequality by 2(x+3):
x-2 greater than or equal to 6(2)(x+3)
x-2 greater than or equal to 12x + 36 becomes
-38 greater than or equal to 11x
Thus, -38/11 is greater than or equal to x, or
x is smaller than or equal to -38/11
check: try x = -44/11 = -4 (this is smaller than -38/11)
Substitute -4 into the original inequality:
x-2
--------- greater than or equal to 6
2(x+3)
becomes
-4-2
--------- greater than or equal to 6
2(-4+3)
or
-6
---- = 3. Is this greater than or equal to 6? No.
-2
So, choose a different test value for x: Try one that's on the other side of
-38/11. I'll try 0.
Then
0-2
--------- greater than or equal to 6
2(0+3)
-2
---- = -1/3. Unfortunately, this is not greater than or equal to 6.
6
Thus, this tentative solution fails.
Trying again:
x-2
--------- greater than or equal to 6
2x + 6
Multiply both sides by 2x+6: x-2 is greater than or equal to 6(2x+6)
Then x-2 is greater than or equal to 12x + 36
Add 2 to both sides: x is gr. than or = to 12x + 38
Subtr. 38 from both sides: -38 + x is gr than or equal to 12x, or
-38 is gr than or = to 11x, and -38/11 is gr than or = to x (same as before).
Again, -4 proves NOT to be a solution. Thus, the interval (-infinity, -38/11) is not part of the solution set.
Trying x = 2,
2-2
------------- comes out to 0, which is NOT greater than or equal to 6.
2(2) + 6
Thus, (-38/11, infinity) is not a solution set either.
NO SOLUTION!
Displacement x would be in terms of length, while t would be in terms of time.
Therefore the equation would have units of:
length = (b)*time^2
b = length/(time^2)
Therefore, the units of the constant b should be in length per time^2 (for example, in m/s^2, such as in acceleration).
