What is infinity? Positive? Negative?

1 answer:

7 0

Positive infinity<span> is a symbol used to designate the limit of a sequence or function that eventually exceeds any prescribed bound. </span>Negative infinity<span> does the same thing for sequences that eventually fall below any prescribed bound.</span>

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a patio is shaped like a golden rectangle. it's length ( the longer side) is 16ft. what is the patios width? write your answer i

Trava [24]

$a\ golden\ rectangle:\ \ \ \frac{a+b}{a}= \frac{a}{b} \\----------------\\a+b=16\ [ft]\ \ \ \ \Rightarrow \ \ \ b=16-a\\\\ \frac{16}{a} = \frac{a}{16-a} \ \ \ \ \Leftrightarrow\ \ \ 16(16-a)=a^2\\\\a^2+16a-256=0\\\\\ \ \ \Rightarrow\ \ \ \Delta=16^2-4\cdot(-256)=256\cdot5\ \ \ \Rightarrow\ \ \ \sqrt{\Delta} =16 \sqrt{5} \\\\a_1= \frac{-16-16 \sqrt{5} }{2} =-8-8 \sqrt{5} 0\\\\$

$a=8( \sqrt{5} -1)\ \ \Rightarrow\ \ b=16-8( \sqrt{5} -1)=16-8\sqrt{5} +8=8(3- \sqrt{5} )\\\\Ans.\ This\ golden\ ractangle\ has\ sides:\\.\ \ \ \ \ \ \ 8( \sqrt{5} -1)\ [ft]\ \ and\ \ 8(3- \sqrt{5} )\ [ft]$

3 0

2 years ago

-4x = -1/2 ( 10x + 18 ) can anyone coment

Ksju [112]

-4x = -5x - 9
9 = x

xxxxxxxxxxxxx

6 0

2 years ago

Read 2 more answers

Candace leaves her house and starts jogging at a pace of 480 feet per minute. Five minutes later, her brother runs after her at

Elenna [48]

Answer:

The answer to your question is time = 20 min

Step-by-step explanation:

Data

Candace = 480 ft/min

time = 5 min

Brother = 660 ft/min

Process

1.- Calculate the distance traveled by Candace in 5 min

distance = speed xtime

= 480 x 5

= 2400 ft

2.- Write the equations to help solve the problem

Candace distance = 2400 + 480t

Brother distance = 600t

3.- Solve by equality

2400 + 480t = 600t

2400 = 600t - 480t

2400 = 120t

t = 2400/120

t = 20 min

4.- I will solve the equation given

480t = 660(t - 112112)

480t - 660t = -112112

-120t = -112112

t = -112112/-120

t = 934 h I think there is a mistake in the formula you

wrote.

7 0

2 years ago

Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of

Lilit [14]

For this case we can define the following variables:
x: shirt
y: jeans
We write the following system of equations:
12x + 28y = 3900
8.4x + 35y = 3885
We solve the system of equations:
x = 150
y = 75
Note: see attached image for the solution of the system:
Answer:
she bougth from the wholesalers
150 shirts
75 jeans