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Nataliya [291]
1 year ago
6

Find domain and range

Mathematics
1 answer:
sergejj [24]1 year ago
3 0

For the given function, we have:

Domain:  (-∞, ∞)

Range: [-2, ∞)

<h3></h3><h3>How to find the domain and range of the given function?</h3>

Remember that for a function the domain is the set of the possible inputs while the range is the set of the outputs.

On the graph, we can see a quadratic equation, remember that for every polynomial the domain is the set of all the real values, the same is for this case, so we conclude that the domain is:

D: (-∞, ∞)

The range will be the set of all values larger than the minimum of the parabola, which is at the vertex.

On the graph, we can see that the minimum is y = -2, then the range is:

R: [-2, ∞)

If you want to learn more about range and domains:

brainly.com/question/10197594

#SPJ1

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John has 12 pounds of dog food and is going to separate it into 3/4 pound portions. How many portions of dog food will he have?
NNADVOKAT [17]

16 portions

explanation:

12 / 3/4

   = 12 * 4/3 

= 4*4 = 16

7 0
2 years ago
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3
Nat2105 [25]

<em><u>Question:</u></em>

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

<em><u>Answer:</u></em>

The actual length of Hector room is 14 foot

<em><u>Solution:</u></em>

Given that, On the floor plan, his bedroom is 3 inches wide and 3\frac{1}{2} inches long

<em><u>The scale of floor plan is given as:</u></em>

\frac{1}{4} \text{ inch} = 1 \text{ foot }

Therefore,

1 \text{ inch } = 4 \text{ foot}

To find: Actual length of floor

From given question,

length = 3\frac{1}{2} \text{ inches}

Converting the mixed fraction to improper fraction,

length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }

Since, 1 inch = 4 foot

\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }

Thus actual length of Hector room is 14 foot

6 0
2 years ago
Use the drawing tools to form the correct answer on the provided graph.
4vir4ik [10]

Answer: (0,1), (1,0)

Step-by-step explanation:

plug in a number for y.

ex) x=0 y=1

y=-x + 1

1= -0 + 1

1=0 + 1

5 0
2 years ago
There are 96 girls and 72 boys who want to participate in 6th grade intramurals.
Gekata [30.6K]

Answer:

i) 24

ii) 4 girls, 3 boys

Step-by-step explanation:

The GCF is 24

96= 24*<u>4</u>

72= 24*<u>3</u>

<u />

<u />

<u>I hope this helps!</u>

5 0
3 years ago
A company makes a $5 profit on each non-faulty product it sells. Approximately 2% of the products manufactured are faulty.
galben [10]

Step-by-step answer:

The steps are much easier to follow when we know how many product it sells.  The number does not really matter, because we need the profit per item.

Say, the company made and sold 100 items of the product.

The revenue = 100*5 = $500.

On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so

replacement cost = 2* 100 = 200

So net profit for 100 items = $500 -$200 = $300

Net profit for each item = $300/100 = $3.00

Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.

7 0
3 years ago
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