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irakobra [83]
2 years ago
14

Jeremiah's dog eats 3/4 of a can of food each day. Jeremiah currently has 2 1/4 cans of dog food. How many days will the current

supply of dog food last?
Write your answer as a fraction or as a whole or mixed number.
Mathematics
1 answer:
musickatia [10]2 years ago
4 0

Answer: 3 days

Step-by-step explanation:

First, convert 2 1/4 from a mixed number to a fraction. This can be done by multiplying 2 and 4 and adding 1. 2*4 = 8+1 = 9. Currently, Jeremiah has 9/4 cans of dog food.

Now divide 9/4 by 3/4. To divide fractions, flip one fraction over and multiply to get the equation 9/4 * 4/3. The 4s in both the numerator and denominator cancel out, leaving you with a fraction of 9/3.

Divide 9 by 3 to get a final answer of 3 days.

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Find the quadratic function that fits curve below. Select the correct answer.
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<h2>Hello!</h2>

The answer is:

The quadratic function that fits the given picture is:

y=-3x^{2}+13x-5

<h2>Why?</h2>

We can solve the problem and find the correct function that fits the curve below by finding which function intercepts the y-axis at -5 (we can see it from the picture), also, we need to look for a function that represents a parabola opening upwards. We need to remember that when a parabola is opening upwards, its quadratic term coefficient is negative.

So, we can see that from the given functions, the only function that represents a parabola opening upwards and its y-intercept is located at y equal to -5 is the second option:

y=-3x^{2}+13x-5

We have that :

a=-3(negative)\\b=13\\c=-5(y-intercept)

We can see that the quadratic term (a) is negative, and the quadratic function intercepts the y-axis at y equal to -5.

Hence, the answer is:

The quadratic function that fits the given picture is:

y=-3x^{2}+13x-5

Have a nice day!

Note: I have attached a picture for better understanding.

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