Answer:
asymptotes: x= -4,-2 and no holes
Step-by-step explanation:
First we need to factor the denominator of the function
y = (x-1) / (x2 + 6x + 8)
x2 + 6x + 8 = 0
delta = b2 - 4ac = 36 - 32 = 4
x1 = (-6 + 2) / 2 = -2
x2 = (-6 - 2) / 2 = -4
So we have that x2 + 6x + 8 = (x+4)(x+2)
So our function is:
y = (x-1) / (x+4)(x+2)
As there is no common expressions in the numerator and denominator, there are no holes.
The asymptotes are when the denominator is zero, so:
(x+4)(x+2) = 0
x = -4 or x = -2
To find k take 24 and divide it by 4. So 24/4. Your answer is 6.
Answer: 6
Answer:
1.333 is more close to 1.5 than 1.25 .
Step-by-step explanation:
We are given:
You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Which size will keep more of the original picture.
First divide 6 by 4: we get,
6/4 = 1.5 inches
This is the ratio to achieve.
Now divide 20 by 16
20/16 = 10/8
10/8 = 5/4
5/4 = 1.25 inches
Now divide 24 by 18
24/18 = 12/9
12/9 = 4/3
4/3 = 1.333 inches
1.333 is more close to 1.5 than 1.25 .
Answer:
(3,3) for #1
Step-by-step explanation:
Graph both equations and where they intersect is your answer
