False, all integers are rational because they can be expressed as a fraction. Like -4 is a rational number because it can be -4/1. All integers are rational.
By inspection, it's clear that the sequence must converge to
because
when
is arbitrarily large.
Now, for the limit as
to be equal to
is to say that for any
, there exists some
such that whenever
, it follows that
From this inequality, we get
As we're considering
, we can omit the first inequality.
We can then see that choosing
will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that
.
Answer:
14 glue bottles.
Step-by-step explanation:
Let's use a ratio:
sticks : bottles
5 : 2
35 : 14
There are 14 glue bottles in the classroom.
Answer:
4 . The answer is no .
5 . x=1
6. unlimited answers
7. There's no answer to this question .
Step-by-step explanation:
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4. solution :
-20(2-4) = 2((5×-4) -4) =
-40 = -48 × impossible
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5. solution :
-3+4x+12x+24 = 28x +12-3
-3+24-12+3=28x-12x-4x
27-15=12 = 2x - 16x =12x
12 = 12x
x =1
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6. solution :
24-3x+9-6 = -8x+20+5x+7
8x-5x-3x = -24-9+6+20+7
0=0
x can be every number you think because they are always equal to each other .
examination :
if you consider x as 1 :
24-3+9-6=-8+20+5+7
24=24
or if you consider x as 2 :
24-6+9-6 = -16+20+10+7
21 = 21
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7 . solution :
3(x-2) = 3x+4
3x-6 = 3x+4
3x-3x = 10
0 = 10
if you consider x as 1 :
3-6 = 3+4
-3 = 7 × impossible .
M a t h w a y will help you my friend!
I was struggling with math and using it got me get back on track :)
