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Answer:
Each mixture has the same amount of salt for every 1 cup of water.
Step-by-step explanation:
It is provided that:
- Nia mixed 1 teaspoon salt with 3 cups warm water.
- Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.
The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.
On dividing the amount of salt and the amount of water by 3, the ratio will be the same.
Thus 1 : 3 is equivalent to the ratio , which means that Nia's solution has
teaspoon of salt for every cup of water.
The ratio of the number of teaspoons of salt to the number of cups of water is in Trey’s solution.
On dividing the amount of salt and the amount of water by , the ratio will be the same.
So Trey’s ratio is also equal to the ratio .
Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.
To get the graph to have one x-intercept, we must find the m value where the discriminant of the equation will equal 0.
The discriminant for a graph with one x-intercept is found with the following formula:
Plug in the values of the equation into this formula:
Add 144 to both sides:
Square root both sides to get m by itself:
In order for the graph to have one x-intercept, m must equal -12 or 12.
The discriminant for a graph with one x-intercept is found with the following formula:
Plug in the values of the equation into this formula:
Add 144 to both sides:
Square root both sides to get m by itself:
In order for the graph to have one x-intercept, m must equal -12 or 12.