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devlian [24]
3 years ago
9

What are the possible lengths and widths of a rectangle if its length is 8 centimeters longer than the width, and the area is le

ss than or equal to 33 square centimeters?
Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0
A = LW
A = (< = 33)
L = W + 8

W(W + 8) < = 33
W^2 + 8W < = 33
W^2 + 8W - 33 < = 0
(W + 11)(W - 3) < = 0

W + 11 < = 0
W < = -11 (extraneous solution)

W - 3 < = 0
W < = 3 <===

L < = W + 8
L < = 3 + 8
L < = 11 <===
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3 years ago
Which of the following is an even function g(x) = (x – 1)2 + 1g(x) = 2x2 + 1g(x) = 4x + 2g(x) = 2x
GuDViN [60]
An even function can be reflected about the y axis and map onto itself
example: y=x^2

an odd function can be reflected about the origin and map onto itself
example: y=x^3


a simple test is the following

if f(x) is even then f(-x)=f(x)
if f(x) is odd then f(-x)=-f(x)


so

even function
subsitute -x for each and see if we get the same function
remember to fully expand these

g(x)=(x-1)^2+1=x^2-2x+1+1=x^2-2x+2 is the original one

g(x)=(x-1)^2+1
g(-x)=(-x-1)^2+1
g(-x)=(1)(x+1)^2+1
g(-x)=x^2+2x+1+1
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not same because the original has -2x
not even


g(x)=2x^2+1
g(-x)=2(-x)^2+1
g(-x)=2x^2+1
same, it's even

g(x)=4x+2
g(-x)=4(-x)+2
g(-x)=-4x+2
not the same, not even

g(x)=2x
g(-x)=2(-x)
g(-x)=-2x
not same, not even



g(x)=2x²+1 is the even function
8 0
2 years ago
Read 2 more answers
What is the value of fraction 1 over 3x3 + 5.2y when x = 3 and y = 2?
Slav-nsk [51]

Hello from MrBillDoesMath!

Answer:

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Discussion:

Evaluate  1/ ( 3x^3 + 5.2y)   when x = 3, y = 2.

1/ (3 (3)^3 + 5.2(2))  =

1/ ( 3 * 27 + 10.4) =

1/ ( 81 + 10.4) =

1/ (91.4) =

.0109 (approx)

Thank you,

MrB

6 0
3 years ago
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Debora [2.8K]

$58,685 would be the amount left over.

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Nataly_w [17]

Answer:

On a number line, -4 is located to the right of -5

Step-by-step explanation:

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