Use synthetic division to find the expression for the area of the base of a rectangular prism with height x + 4 and volume x3 +
2 answers:
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Remember that the general equation of a line is 
, where:
is the slope, and 
is the y-intercept; so to find the y-intercept, solve for 
and identify .
Now, to find the x-intercept, just replace in your line equation with 
, and solve for 
Lets apply those procedures to our two questions:
1. - y-intercept:
Notice that now we have our line equation in the form with 
and 
; sine is the y-intercept, we can conclude that the y-intercept of our equation is 8.
x-intercept:
First, lets replace with :
And then, we can solve for to find our x-intercept:
We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one: x-intercept is -4; y-intercept is 8.
2. y-intercept:
We can conclude that our y-intercept is 20.
x-intercept:
We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one: x-intercept is 16; y-intercept is 20.
Now, to find the x-intercept, just replace
Lets apply those procedures to our two questions:
1. - y-intercept:
Notice that now we have our line equation in the form
x-intercept:
First, lets replace
And then, we can solve for
We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one: x-intercept is -4; y-intercept is 8.
2. y-intercept:
We can conclude that our y-intercept is 20.
x-intercept:
We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one: x-intercept is 16; y-intercept is 20.
Answer: n is a positive odd number.
Step-by-step explanation:
Ok, we know that the function is something like:
f(x)=a(x+k)^1/n + c
In the graph we can see two thigns:
All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.
So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).
Also, we can see that the function increases, if n was a negative number, like: n = -N
we would have:
So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.
Then n is a positive odd number.