X=3 is a vertical line . The question is "Is this line a vertical asymptotefor the function f(x)?". Vertical asymptote is vertical line near which the function grows without bound.
The function f(x)=5x-15/x-3 is not asymptotic to the line x=3, because for x=3 f(x)=5*3-15/3-3=0/0=0 . So, there is a value for x=3 and the function f(x) does not grow near x=3 without bound.
Answer: In five months,she will save the same money which is $250.
Step-by-step explanation:
Using the first statement we can generate the function y=10x + 200 and using the second statement we can also generate the function y = 30x + 100 . Now using the two equations solve for x and y to determine how many months they cost the same.
y = 10x + 200
y = 30x + 100
Substitute the value of x in the first equation into the second equation.
30x + 100= 10x + 200 now solve for x
-100 -100
30x = 10x + 100
-10x -10x
20x = 100
x= 5
This means in five months Tina will save the same amount. Now to find out how much the amount is, plot the value of x into one of the equations and solve for y.
y = 10(5) + 200
y = 50 + 200
y = 250
She will save $250 with either option.
Answer:
$125
Step-by-step explanation:
With a 20% off coupon, the price you pay is 80% of the marked price. If that amount is $100, you have ...
$100 = 0.80p
p = $100/0.80 = $125
The maximum price of the shoes you can buy is $125.
_____
<em>Check</em>
20% of $125 is -.20×$125 = $25. When that is subtracted, the price you pay is ...
$125 -25 = $100
Answer:
98.1°F ≤ x ≤ 99.1°F
Step-by-step explanation:
Given the function:
f(x) = |98.6 - x|
Variance = 0.5
98.6°F - x = ± 0.5
Lower bound :
98.6 - 0.5 ≤ x
98.1 ≤ x
Upper bound :
x ≤ 98.6 + 0.5
x ≤ 99.1
Hence,
98.1°F ≤ x ≤ 99.1°F
Answer:
- 8 points left and 7 points down
Step-by-step explanation:
Get the difference of one point on M and corresponding point on L, and find the difference of coordinates.
<u>Lets take top right points:</u>
<u>The difference:</u>
- -1 - 7 = -8 ⇒ 8 points left
- 2 - 9 = -7 ⇒ 7 points down
