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3 years ago

Use the graph to determine the following.

Mathematics

1 answer:

erica [24]3 years ago

4 0

Answer:

Step-by-step explanation:

(a) A graph's domain is the set of X values that can be provided to the graph. Based on the picture, we can provide any values to the graph, so the domain is (-∞, ∞)

(b) A graph's range is the set of Y values that can be returned from the graph. Based on the picture, the graph can not return any value lower than 1, so the range is [1, ∞)

(c) The X-intercept is where the graph crosses the X-axis (or the horizontal line where Y = 0). The graph doesn't cross the X-axis, so there are no X-intercepts.

(d) The Y-intercept is where the graph crosses the Y-axis (or the vertical line where X = 0). The graph crosses the Y-axis at Y = 5, so a Y-intercept is (0, 5).

(e) f(1) is the Y value where X = 1, which is 4. f(5) is the Y value where X = 5, which is 2.

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On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plant

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Answer:

a) $2\frac{7}{12}$ kg of plant food did Sheldon have left.

b) She need is $\frac{43}{12}$ kg and she don't have enough to left.

Step-by-step explanation:

Given : On Sunday, Sheldon bought $4\frac{1}{2}$ kg of plant food. He used $1\frac{2}{3}$ kg on his strawberry plants and used $\frac{1}{4}$ kg for his tomato plants.

To find :

a) How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Solution :

Sheldon bought plant food $4\frac{1}{2}=\frac{9}{2}$ kg.

He used strawberry plants $1\frac{2}{3}=\frac{5}{3}$ kg.

He used tomato plants $\frac{1}{4}$ kg

Kilograms of plant food did Sheldon have left is given by,

$L=\frac{9}{2}-(\frac{5}{3}+\frac{1}{4})$

$L=\frac{9}{2}-\frac{23}{12}$

$L=\frac{54-23}{12}$

$L=\frac{31}{12}$

$L=2\frac{7}{12}$

Therefore, $2\frac{7}{12}$ kg of plant food did Sheldon have left.

b) Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will he need? Does he have enough left to do so?

Solution :

Sheldon wants to feed his strawberry plants 2 more times.

i.e. Strawberry plants used is $2(\frac{5}{3})=\frac{10}{3}$ kg.