Describe these points with a double inequality
1 answer:
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Answer:
The rate of change between (1, 5) and (0, -3) would be 8.0.
Step-by-step explanation:
"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".
We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:
where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.
Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:
8 = 8.0, so the answer would be 8.0.
The rate of change between the two points would be 8.0.
I hope you find my answer helpful. :)
Answer:
9, 30, and 15.
Step-by-step explanation:
Let the three numbers be a, b, and c.
The sum of them is 54. So:
The third number is 6 more than the first. In other words, c=a+6.
The second number is twice the third. In other words, b=2c.
Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).
Let’s substitute them into our equation. So:
Solve for a. Distribute:
Combine like terms:
Subtract 18 from both sides:
Hence, the value of a is:
So, the first number is 9.
The third number is 6 more than the first, so the third number is 15.
The second number is twice the third. So, the second number is 30.
Therefore, our numbers are:
9, 30, and 15.