1 is B
2 is A.fes.fdsf.ef.sf.esf.esfs.ef
A) The positive number furthest away from 0 is the greatest.
B) The negative number closest to 0 is the greatest.
c) Any positive number is always greater than any negative number.
Answer:
A and B
Step-by-step explanation:
we would like to solve the following equation:
to do so isolate -x to the left hand side and change its sign:
simplify addition:
square both sides:
simplify square of the right hand side:
use (a-b)²=a²-2ab+b² to expand the left hand side:
swap the equation:
isolate the right hand side expression to the left hand side and change every sign:
simplify:
rewrite the middle term as 13x-2x:
factor out x:
factor out -2:
group:
by <em>Zero</em><em> </em><em>product</em><em> </em><em>property</em> we obtain:
solve for x:
to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore
solve the inequality for x:
since 2 and -13 is less than 5 both solutions are valid for x hence,
and we're done!
Answer:
approximately 0.2 days
Step-by-step explanation:
Flow is defined as:
Q = V/t
where Q is flow, V is volume, and t is time
Let's call Vr to the volume of the reservoir, then for the first channel:
Q1 = Vr/t1
Replacing with t1 = 1/3 of day:
Q1 = Vr/(1/3) = 3*Vr
Similarly, or the other channels:
Q2 = Vr/1 = Vr
Q3 = Vr/(2 1/2) = 2/5*Vr
Q4 = Vr/3
Q5 = Vr/5
When all channels are open, the time needed to fill the reservoir is:
Vr = t*(Q1 + Q2 + Q3+ Q4 + Q5)
Replacing with the previous equivalences:
Vr = t*(3*Vr + Vr + 2/5*Vr+ Vr/3 + Vr/5)
Vr = t*4.93*Vr
1/4.93 = t
0.2 = t
Answer:
$11,170
Step-by-step explanation:
First you convert the percentage to decimal form out of 100 (which you divide)
3.9%/100 = 0.039
A = P(1 + rt)
A = 10000(1 + 0.039 * 3) ( * = multiplication)
I = $11,170 - 10,000 = $1,170
Which you should get $1,170.00 or $1,170 (which is pretty much the same thing)
Hope this helps!
