Answer:
50%
Step-by-step explanation:
the increase is 60 so divide that by the original number; 60/120=0.5
now we have to change the decimal to a percent. multiply by 100 to do that and we get 50%.
a. 
b. 
c. 
Step-by-step explanation:
Step 1; First, we convert the given fractions into improper ones. To do this, we multiply the whole number with the denominator of the fraction and add with it the same fraction's numerator whereas the denominator remains unchanged. To convert the fraction
3
= (3 × 4) + 1 / 4 = 
,
2
= (2 × 3) + 1 / 3 = 
,
6
= (6 × 5) + 1 / 5 = 
,
4 = (4 × 4) + 1 / 4 = 
,
5
= (5 × 7) + 2 / 7 = 
,
4 = (4 × 3) + 1 / 3 = 
.
Step 2; Now we subtract, using LCM to arrive at the answer
3 - 2 = - = 
= ,
6 - 4 = - = 
= ,
5 - 4 = - = 
= .
Answer:
37
Step-by-step explanation:
9514 1404 393
Answer:
B. 3x² +2 = 0
Step-by-step explanation:
The equation of A has a couple of real roots. We're pretty sure there are complex numbers that will satisfy this equation, but we don't know how to find them. (We suspect a typo, and that the equation is supposed to be 2x² +1 = 7x, which has only real roots.)
__
The equation of B can be rewritten as ...
x² = -2/3
This will have complex roots.
__
The discriminants of both equations C and D are positive, so those have only real roots.
2x² -5x -1 ⇒ d = (-5)² -4(2)(-1) = 33
3x² -6x -1 ⇒ d = (-6)² -4(3)(-1) = 48
If you multiply out the first side of the equation, (x + 5)³, it's equal to the second side.
x³ + 5³ = x³ + 5³, so any value of x would work.
x = "any real number" would be your answer, unless you can't type. then I think anything would work (I'm not certain though!) :)
