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olga55 [171]
2 years ago
13

Use the graph of the parabola to identify the domain and range of the function.

Mathematics
1 answer:
Aliun [14]2 years ago
4 0
It’s a. The range starts at 1 and goes to infinity
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Elijah bought a total of pounds of peanuts and cashew nuts and paid $49.50. If peanuts cost $2.75 per pound and cashew nuts cost
konstantin123 [22]

Answer:

11 pounds of cashew nuts

Step-by-step explanation:

To solve this problem, we call:

p = number of pounds of peanuts bought

n = number of pounds of cashew nuts bought

We also know that:

- Each pound of peanuts costs $2.75, so the cost of p pounds of peanuts is

2.75p

- Each pound of cashew nuts costs $3.25, so the cost of n pounds of cashew nuts is

3.25p

So the total cost, which in this case is $49.50, can be written as:

49.50=2.75p+3.25 n (1)

We also know that the total number of pounds is 16, so:

16=p+n (2)

From this equation we get

p=16-n

And substituting into (1), we find n:

49.50=2.75(16-n)+3.25n\\49.50=44-2.75n+3.25n\\5.50=0.5n\\n=\frac{5.50}{0.5}=11

So, 11 pounds of cashew nuts.

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3 years ago
If you have $30 and the ratio is 3:7, what does the 7 represent?
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Step-by-step explanation:

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Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c
sergejj [24]

Answer:

(C)c= \frac{3}{7}f

Step-by-step explanation:

Clare uses 9\frac{1}{3} cups of flour to make 4 cakes.

It means  she uses 1 cup of flour to make 4\div9\frac{1}{3} cakes.

Let us simplify that expression first for future use.

4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}

Therefore, Clare uses 1 cup of flour to make \frac{3}{7} cakes.

If Noah follows the same recipe,

He uses f cups of flour to make c cakes

Using Ratio Method

→  Name  :  Cup  :  Cake

→  Clare   :    1        :   \frac{3}{7}

→  Noah   :     f       :   c

By using cross multiplication

c X 1 = \frac{3}{7}f

c= \frac{3}{7}f

The equation c= \frac{3}{7}f represents the relationship between c and f

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