3.21
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could we have a picture or the equation?? plz
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is there any more to the question??
Answer:The equivalent ratio of 6:3 is 2:1. To find the equivalent ratio, we divide both terms of the original ratio by the greatest common divisor (GCD) of the two terms.
In this case, the GCD of 6 and 3 is 3. So, we divide both terms by 3:
6 ÷ 3 = 2
3 ÷ 3 = 1
Therefore, the equivalent ratio of 6:3 is 2:1. This means that for every 2 parts of the first quantity, there is 1 part of the second quantity.
For example, if we have 6 apples and we want to find the equivalent number of oranges, we can use the ratio 2:1. So, if we have 6 apples, we would have 3 oranges (since 2 parts of apples is equal to 1 part of oranges).
Remember, when finding equivalent ratios, it is important to divide both terms by the same number to maintain the same ratio relationship.
Find a formula for y in terms of x
Answer:
Step-by-step explanation:
y being directly proportional to the square of x means that the ratio between the two will always be equal to some constant (let's call it k). In equation form, we'd say:
We're told that y = 96 when x = 4, so we can plug those values in to find k:
Our more general equation is now
If we want to put y in terms of x, we need to get the y by itself on one side of the equation, which we can do here by multiplying both sides by x², giving us
The question is about finding the equation given that y is directly proportional to the square of x. Based on the values in the question, the constant of proportionality 'k' is calculated as 6. Hence, the formula for y in terms of x is y = 6 * x^2.
When we say, y is directly proportional to the square of x, it simply means there is a constant constant of proportionality 'k', such that y = k * x2. Given in the problem, when x = 4, y = 96, we can substitute these values into the equation to solve for 'k'. This results in 96 = k * (42) which simplifies to 96 = 16k, and solving this gives us k = 6. Therefore, the formula for y in terms of x is y = 6 * x2.
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5 + 1/7x = 6
z/6 + 6 = 8 - z/6