To answer this question, the easier way is to make each of the mixed fractions expressed as improper fractions
Thus, we have 6 4/9 written as 58/9 ( we shall be extending this to the other fractions too; the key is to multiply the denominator by the whole number, then add the numerator)
3 2/9 would be expressed as 29/9
and finally 8 2/9 would be expressed as 74/9
So, we can rewrite the question as follows;
-58/9 - 29/9 - 74/9
We can see all have same denominator;
Thus, we can proceed to summing all the numerators.
We have;
(-58-29-74)/9 = -161/9
We then proceed to turn this to an improper fraction too;
Kindly find the nearest multiple of 9 less than 161, then subtract the value from 161;
That would be 153 and we are left with a difference of 8
So our final mixed fraction would be -17 8/9
Hence; -6,4/9 - 3 2/9 - 8 2/9 = -17 8/9
Answer:
8 times n
a product is the answer of a multiplication expression
9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
- vertical stretch by a factor of 'a'
- horizontal compression by a factor of 'b'
- translation right by 'c' units
- translation up by 'd' units
For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
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Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
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As with all exponential functions, ...
- the domain is "all real numbers"
- the range is all numbers above the asymptote: f(x) > 0
- the horizontal asymptote is f(x) = 0
The function is a growth function, so ...
- x → -∞, f(x) → 0
- x → ∞, f(x) → ∞
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<em>Additional comment</em>
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
Answer:
(1-cos^2 x)(1+tan^2 x)=tan^2 x is an identity
Step-by-step explanation:
use pictomath