Answer:
I figured all these out by graphing the function. See the attachment for a picture.
h(x) = (x-1)^2
It's <u>increasing over (1, ∞)</u> because the values are going up in that span.
It's <u>decreasing over (-∞, 1)</u> because the values are going down in that span.
Its range is all values of <u>y </u>
<u> 0</u> (we can see that only y-values above 0 are in the function).
g(x) = -(x+1)(x-1)
It's <u>increasing over (-∞, 0)</u> because the values are going up in that span.
It's <u>decreasing over (0, ∞)</u> because the values are going down in that span.
Its range is all values of <u>y </u>
<u> -1</u> (we can see that only y-values below 1 are in the function).
3400000 in scientific notation
Answer:
I was taught compound interest this way hopefully it helps.
100 + interest rate / 100 = multiplier
100 + 4.3 = 104.3. 104.3/100 = 1.043
Amount X multiplier to the power of time
82100 X 1.043^2 = 89312.4029
as it is a monetary unit round to 2dp
$89312.40
<u>General method</u><u>:</u>
Given numbers are 1.3 bar and 1.4 bar
- 1.3 bar = 1.333...
- 1.4 bar = 1.444...
Two rational numbers between them
= 1.3222... and 1.43333...
<u>Mean Method</u><u>:</u>
Let X = 1.333... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.333...×10
⇛10X = 13.333... → → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 13.333...
X = 1.333...
(-)
____________
9X = 12.000...
____________
⇛9X = 12
⇛X = 12/9
⇛X = 4/3
and
Let X = 1.444... → → →eqn(i)
since the periodicity is 1 then multiply eqn(i) with 10
⇛10×X = 1.444...×10
⇛10X = 14.444...→ → →eqn(ii)
Subtract eqn(ii)-eqn(i)
10X = 14.444...
X = 1.444...
(-)
____________
9X = 13.000...
____________
⇛9X = 13
⇛X = 13/9
Now we have 12/9 and 13/9
The rational number between them by mean method (a+b)/2
⇛{(12/9)+(13/9)}/2
⇛(25/9)/2
⇛25/18
and Second rational number
⇛{(12/9)+(25/18)}/2
⇛{(24+25)/18}/2
⇛(49/18)/2
⇛49/36
<u>Answer</u><u>:</u> The two rational numbers between them are 25/18 and 49/36.
<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?
brainly.com/question/85169?referrer