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3 years ago

Identify the vertex, axis of symmetry, maximum or minimum, and domain and range of the function. F(x)=2(x+9)^2 -4

Mathematics

1 answer:

ololo11 [35]3 years ago

6 0

Domain: (-∞,∞) Range: [4,∞) Vertex: (-9,-4) Axis of symmetry: x= -9

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#9 and #10<br> Please show work

Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

$y=2x+3$ ----> equation A

$x=y-8$ ----> equation B

Solve by substitution

Substitute equation A in equation B

$x=(2x+3)-8$

solve for x

$x=2x-5$

$2x-x=5$

$x=5$

Find the value of y

$y=2(5)+3=13$

therefore

The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

$x=5y-1$ ----> equation A

Remember that

$1\ ft=12\ in$

To convert inches to feet divide by 12

$60\ in=60/12=5\ ft$

$x+y=5$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$(5y-1)+y=5$

solve for y

$5y+y=5+1$

$6y=6$

$y=1\ ft$

Find the value of x

$x=5(1)-1=4\ ft$

therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

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Answer:2,3, and 5

Step-by-step explanation:

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