Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)
weird.
Answer:
90
Step-by-step explanation:
1/2x10x3.6=18
18x5=90
Answer:
-1
Step-by-step explanation:
The slope of the line can be found by
m = (y2-y1)/(x2-x1)
= (-2-1)/(1--2)
=-3 /(1+2)
=-3/3
-1
Answer: 4.2 miles
Step-by-step explanation:
So she ran 6 miles in 50 minutes how long will she run in 35 minutes?
So the equation will therefore be:
6=50
x=35
Cross multiply
6 x 35 = 50x
210 = 50x
Divide both sides by 50
The answer is 4.2 miles
Answer:
d. Two complex solutions
Step-by-step explanation:
We have been given a trinomial
and we are supposed to predict the type of solutions of our given trinomial.
We will use discriminant formula to solve for our given problem.
, where,
,
,

Conclusion from the result of Discriminant are:
Upon substituting our given values in above formula we will get,


Since our discriminant is less than zero, therefore, out given trinomial will have two complex solutions and option d is the correct choice.