Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours,
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Answer:
20 ounces of milk and 3 ounces of cheddar cheese
30 ounces of milk and 4 ounces of cheddar cheese
40 ounces of milk and 5 ounces of cheddar cheese
Step-by-step explanation:
Consider the inequality
Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.
To write: three different amounts of milk and cheese that a person could consume to meet the recommendation
Solution:
Take
So, satisfy the inequality
Take
So, satisfy the inequality
Take
So, satisfy the inequality
Therefore,
three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:
20 ounces of milk and 3 ounces of cheddar cheese
30 ounces of milk and 4 ounces of cheddar cheese
40 ounces of milk and 5 ounces of cheddar cheese
On top: (-2)³ = -2 × -2 × -2 = -8
(x²)³ = x^6 (the exponents multiply)
and of course, (y)³ = y³
On the bottom: (xy²z)² = x² y^4 z²
(-yz)² = y²z²
Multiplying these together, the exponents add and we get x² y^6 z^4.
So, your reasoning is correct for what you have so far.
Your next step would be cancelling shared factors from the top and bottom.
Just like with regular fractions, if the numerator and denominator are divisible by the same number, you can divide them by it to simplify. (ex: 4/6 = 2/3)
Well, x^6 and x^2 are both divisible by x^2, right?
We can also cancel the y^3.
It might help to visualise the factors like this:
Once you've cancelled out x² and y³ from each, you're left with