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kkurt [141]
3 years ago
12

What is the range of the function f(x) = −(x + 3)2 + 7? all real numbers less than or equal to 7 all real numbers greater than o

r equal to 7 all real numbers less than or equal to −3 all real numbers greater than or equal to −3
Mathematics
2 answers:
avanturin [10]3 years ago
6 0

we have

f(x)=-(x+3)^{2}+7

we know that

The function is a vertical parabola open downward

The vertex is the point (-3,7)

The vertex is a maximum

The range is the interval-----------> (-∞,7]

That means

All real numbers less than or equal to 7

therefore

<u>the answer is the option</u>

All real numbers less than or equal to 7

ss7ja [257]3 years ago
4 0
<span>all real numbers less than or equal to 7</span>
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Answer:

$2 per pen

Step-by-step explanation:

mechanical pencils: 5.25

all pens: 8

5.25+8= $13.25

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4 0
3 years ago
A homeowner is installing a swimming pool in his backyard. he want its length to be 4 feet longer than its width. then he wants
marishachu [46]
1. You have that:

 - The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span> 
 - He wants to surround it with a concrete walkway 3 feet wide.
 - He can only afford 300 square feet of concrete for the walkway.

 2. Therefore, the tota area is:

 At=L2xW2

 L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
 W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

 3. The area of the walkway is:

 A2=At-A1

 A2=300 ft²

 4. Therefore, you have that the width of the swimming pool is:

 A2=(W1+10)(W1+6)-(W1+4)(W1)
 300=(W1²+6W1+10W1+60)-(W1²+4W1)
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 12W1-240=0
 W1=240/12
 W1=20 ft

 5. And the length is:

 L1=W1+4
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8 0
3 years ago
Show your work AND the answer a research showed that 45% of sixth graders have dogs for pets 35% have cats 10% have fish and 5%
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Answer: 600 students

Step-by-step explanation:

Of the total number of sixth graders who were surveyed, 5% owned birds.

This 5% translated to 30 students.

30 students is therefore 5% of the total number of sixth graders surveyed.

Assume that number to be x:

x * 5% = 30

x = 30 / 5%

= 600 students

3 0
3 years ago
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Allisa [31]

Answer:

662.433221

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2 years ago
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