Differentiat each
dy/dx 5x-6=5
dy/dx x^2-2=2x
dy/dx 4x=4
domain will be all real numbers because the derivitives won't make any wierd values like divisiono by 0 or square roots of negatives
so ya, it is the last one
You need to know where the line crosses the y axis (vertical) - AKA the y intercept, and the slope of the line.
The y intercept is 5. The slope is -1/3 because every time the line goes down one square, it also goes right three squares.
Equation:
y=mx+b
where m is the slope and b is the y intercept
y = 1/3x + 5
Another way to write the same thing
y = x/3 + 5
Both correct!
To calculate the are of the sides of a cylinder, you take the circumference of the base, or circle, and multiply it times the height. To calculate the circumference of a circle we use the formula 2*pi*r, or 15pi. We multiply this times 20 to get 300pi cm. If you are using 3.14 for pi, this is 942, or if you are using actual pi, around 942.4777.
77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).
You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.
e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?
To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.
In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.
Answer:
1/6
Step-by-step explanation:
There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.
