If DE = 4x + 10, EF = 2x-1, and DF = 9x-15, find DF
2 answers:
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Given functin is :
We know that the domain of the expression is all real numbers except where the expression is undefined. In given function, there is no real number that makes the expression undefined. Hence domain is all real numbers.
Domain: (-∞,∞)
Range is the set of y-values obtained by plugging values from domain so the range will also same.
Range: (-∞,∞)
If we increase value of x then y-value will also increase so that means it is an INCREASING function. You can also verify that from graph.
It crosses x and y-axes both at the origin
Hence x-intercept=0 and y-intercept=0
Graph is not symmetric about y-axis hence it can't be EVEN
Graph is not symmetric about origin so it is ODD.
There is no breaking point in the graph so that means it is a Continuous function.
There is no hoirzontal or vertical or slant line which seems to be appearing to touch the graph at infinity so there is NO asymptote.
END behaviour means how y-changes when x approaches infinity.
From graph we can see that when x-approaches -∞ then y also approaches ∞.
when x-approaches +∞ then y also approaches +∞.
Answer:
Porter is inches taller than Henry.
Porter is times taller than henry.
Step-by-step explanation:
The difference in height can be found using subtraction.
Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.
n = Porter's height
m = Henry's height
Difference in height is thus:
Answer: Porter is inches taller than Henry.
To find out how many times taller Porter is than Henry, we can use division.
An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.
If we divide Porter's height by Henry's height...
..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.
Using our values, n and m, we'll divide n by m.
Answer: Porter is times taller than henry.
Answer:
The goat population reaches 1000 in 12.4 years
Step-by-step explanation:
After <em>t </em>years, the number of goats is given by
where is the initial number of goats and <em>b</em> is the per capita growth rate.
From the question,
- <em>b</em> = 0.5
- <em>N</em> = 1000