Divide through everything by <em>b</em> :
Since <em>a/b</em> < <em>c/d</em>, it follows that
Multiply through everything on the right side by <em>b/d</em> to get
and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) < <em>c/d</em>.
For the other side, you can do something similar and divide through everything by <em>d</em> :
and <em>a/b</em> < <em>c/d</em> tells us that
Then
and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) > <em>a/b</em>.
Then together we get the desired inequality.
Answer: Choice B) she is not correct; the exponent should be 6
I'm assuming you meant to say 1.5006 x 10^4
The exponent 4 means we move the decimal point four spots to the right to go from 1.5006 to 15,006
This result is a little over 15 thousand when we want closer to 1.5 million
The exponent should be 6. We move the decimal point six places to the right to go from 1.5006 to 1,500,600 which is the proper value we want
So Sarah should have written 1.5006 x 10^6
Answer:8.125 ft
Step-by-step explanation:
Given
Plastic pipes of 5 ft are cut into 8 rods
The length of each rod will be
The total length for 13 rods are
Answer:
0.8
Step-by-step explanation:
Regroup:
(x^4+2x^2-8)-(x^3+4x)=0
Factor: (x^2-2)(x^2+4)-x(x^2+4)=0
both terms have (x^2+4), so (x^2+4)(X^2-x-2)=0
factor again: (x^2+4)(x+1)(x-2)=0
x=1, x=2, x=2i, or x=-2i