The answer has to be 144 since it is the only one smaller than 180
Answer:
Step-by-step explanation:
1) Distance covered by motorcycle = x
y = 50 + (x -2)*10
2)Distance traveled = 5 km
y = 50 + ( 5-2) *10
= 50 + 3*10
= 50 + 30
= 80
Seth will be paid Php 80
3) y = 120
50 + (x - 2)* 10 = y
50 + (x -2) *10 = 120
50 + 10x - 2*10 = 120
50 + 10x - 20 = 120
30 + 10x = 120
10x = 120 - 30
10x = 90
x = 90/10
x = 9
A passenger can travel 9 km.
4)y = (x - 2)*10
y = 10x - 20
20 + y = 10x
20 = 10x - y
10x - y = 20 {Ax + By = C form}
Okay so because it's 10% off you're going to take the original price ($25) and move the decimal over once. So, $2.50. Now back to the original price!
$25.00 - $2.50 = $23.50 for the sweatshirt. I don't think I explained that very well, but that'd be how you found your answer?
Answer:
x = 1 and x = 2
x = 4 and x = -4
Step-by-step explanation:
Vertical asymptotes appear where the function does not have a value. This is most commonly when the denominator of a rational function is 0. Find the asymptotes by factoring the denominator and setting it equal to 0. Then solve for x.
<u>First equation</u>
x² - 3x + 2 factors into (x-1)(x-2)
When x-1 = 0, x = 1. When x-2=0, x = 2. The V.A. are at x = 1 and x = 2.
<u>Second equation</u>
x² - 16 factors into (x+4)(x-4)
When x+4= 0, x = -4. When x-4 = 0, then x = 4. The V.A. are at x = -4 and x = 4.
Answer:
Rational
Step-by-step explanation:
5.74 is the same as 5.74 over 1. In other words, 5.74 can be written with a numerator and denominator, like this:
5.74 = 5.74/1
5.74 x 100/ 1 x 100
You can multiply the numerator and denominator of any fraction by the same number and keep the value of the fraction the same. Here we will multiply the numerator and denominator by 100 to get rid of the decimal point.
5.74 × 100/ 1 × 100
When we calculate the numerator and the denominator above, we get this fraction:
574/100
The fraction above is the same as 5.74. Furthermore, the numerator and the denominator of the fraction above are integers. Therefore, we can conclude that the answer to "Is 5.74 a rational number?" is yes.