Well first because in this equation the first value is less than one, we should multiply the whole equation by 3, so
<span>x/3= x+1/4
x=3x+3/4
now we should switch the values
3x+3/4=x
now subtract x from both sides
2x+3/4=0
now subtract 3/4 from both sides
2x=-3/4
now divide both sides by 2
x=3/8
So that's your answer!
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Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
if f(x1) <f(x2) then the function is decreasing.
Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.
Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
<span>1 2/3 x −3 1/2
= 5/3 x -7/2
= - 35/6
= - 5 5/6
answer
A. </span><span>−5 5/6 </span>
Answer:
13) 1,11 14) 1,2,11,22 15) 1, 2, 4, 7, 14, 28 16) 1, 2, 4, 8, 16, 32 17) 1, 2, 3, 6, 7, 14, 21, 42
Step-by-step explanation:
