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3 years ago

The function f(x) = x3 – 7x + bis shown in the figure. 15+

Mathematics

1 answer:

Anna007 [38]3 years ago

4 0

Answer:

The correct answer is

(x + 2) (x + 1) (x - 3)

Step-by-step explanation:

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The area of a rug is represented by the following expression, z2 + 4x – 12 , which of the following expressions

ch4aika [34]

Answer:

Width = (x-2)

Step-by-step explanation:

The area of a rug is given by $(x^2+4x-12)$

The length of the rug is (x+6)

We need to find the width of the rug.

The area of a rug is given by :

$A=lb\\\\x^2+4x-12=(x+6)b\\\\b=\dfrac{x^2+4x-12}{(x+6)}\\\\b=\dfrac{x^2+6x-2x-12}{(x+6)}\\\\b=\dfrac{x(x+6)-2(x+6)}{(x+6)}\\\\b=\dfrac{(x+6)(x-2)}{(x+6)}\\\\b=(x-2)$

So, the width of the rug is (x-2). Hence, the correct option is (c).

3 0

3 years ago

Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree h

stepan [7]

Answer: c. elm

Step-by-step explanation:

Given : The circumference of the oak tree= 0.539 meters

= $0.539\times100=53.9\text{ cm}$ [∵ 1 m = 100 cm] (1)

The circumference of the ash tree= 0.509 yards

$=0.509\times3\text{ feet}$ [∵ 1 yard = 3 feet]

$=0.509\times3\times 30.48\text{ cm}$ [∵ 1 foot = 30.48 cm]

$=46.54296\approx46.54\text{ cm}$ (2)

The circumference of the elm tree = 6281.70 millimeters

$=\dfrac{6281.70}{10}=628.17\text{ cm}$ (3)

The circumference of the poplar tree = 0.000385 miles

$=0.000385 \times5280\text{ feet}$ [∵ 1 mile = 5280 feet]

$=0.000385 \times5280\times30.48\text{ feet}$ [∵ 1 foot = 30.48 cm]

$=61.959744\approx61.96\ \text{ cm}$ (4)

From (1) , (2) , (3 ) and (4) it is clear that

46.54< 53.9 < 61.96 < 628.17

Hence, the elm tree has the greatest circumference.

5 0

3 years ago

Carla wants to start a college fund for her daughter Lila. She puts $63,000 into an account that grows at a rate of 2.55% per ye

Oksanka [162]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 63000

r = 2.55% = 2.55/100 = 0.0255

n = 12 because it was compounded 12 times in a year.

Therefore, function, C(t), that represents the amount of money in the account t years after the account is opened is

C(t) = 63000(1 + 0.0255/12)^12t

C(t) = 63000(1.002125)^12t

For C(t) = 100000,

100000 = 63000(1.002125)^12t

100000/63000 = (1.002125)^12t

1.587 = 1.002125)^12t

Taking log of both sides

Log 1.587 = log 1.002125)^12t

Log 1.587 = 12tlog 1.002125)^

0.2005 = 12t × 0.00092

0.2005 = t × 0.01104

t = 0.2005/0.01104

t = 18.16 years

5 0

3 years ago

Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax

Akimi4 [234]

Answer: Abigail can make about 16 candles because 0.4 of a candle would not make an entire candle.

Step-by-step explanation:

For the Wax, it’s

V=Bh

V= l*w*h

= 15 cm * 11cm * 18 cm

= 2,970 cm^3

For the Mold, it’s

V=Bh

= r^2h

= * (3.1 cm)^2 * 6

= about 181 cm^3

Then you divide to find out how many candles you can make.

2,970 cm^3/181= 16.4

Hope this helps!

7 0

3 years ago

Cuantos millones de libras en materiales se generan en mexico

DaniilM [7]

Answer:

english

Step-by-step explanation: please

7 0

3 years ago