To find the vertical asymptote, set the denominator equal to zero and solve for the variable
x using algebra. The denominator is 2x-1 so if you set that equal to zero that would be 2x-1=0 ⇒ 2x=1 ⇒
is the vertical asymptote
To find the horizontal asymptote, there are three possibilities. Look at the degree of the numerator and denominator. Compare the degrees using the rules attached. Notice both the denominator and numerator have the same degree, so using the rule, the horizontal asymptote would be
or in this case a=-8 and b=2 so the vertical asymptote is
or y=-4
Hope this helps
Answer:
A would be 35
Step-by-step explanation:
if that area is at a 90 digre angle then do 90- 55 then you get your anwser.
30I hope that helps you got this
Answer:
8 pairs of large glasses and 12 pairs of small ones
Step-by-step explanation:
Let's say the number of large frames she buys is l, and the number of small frames is s. She buys 20 frames of assorted sizes, but they can only be small or large. Therefore, s + l = 20.
Next, the total cost of large frames is 12 dollars for each frame. Therefore, the total cost for the large frames is equal to 12 * l. Similarly, the total cost for the small frames is equal to 5 * s. The total cost of all frames is equal to 156, so
12* l + 5 * s = 156
s + l = 20
In the second equation, we can subtract l from both sides to get
s = 20 - l
We can then plug that into the first equation to get
12 * l + 5 * (20-l) = 156
12 * l + 100 - 5*l = 156
subtract both sides by 100 to isolate the variable and its coefficient
12 * l - 5 * l = 56
7 * l = 56
divide both sides by 7 to isolate the l
l = 8
The woman buys 8 pairs of large glasses. The number of small glasses is equal to 20-l=20-8=12
When comparing decimals, start in the tenths place. The decimal with the biggest value there is greater. If they are the same, move to the hundredths place and compare these values. If the values are still the same keep moving to the right until you find one that is greater or until you find that they are equal.
