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4 years ago

10

Given that x is a number greater than 0, Molly conjectured that x3>3x+3 . Which value is a counterexample to Molly's conjectu

re?

2 answers:

Marizza181 [45]4 years ago

8 0

You didn't give any options but I'll try 2

sveta [45]4 years ago

6 0

The answer is 2, just took the test.......

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If x= -2 and y= 12,then 2(3x3+2y2)=

vladimir1956 [14]

Answer:

$528$

Step-by-step explanation:

we have

$2(3x^{3} +2y^{2})$

For $x=-2, y=12$

substitute the value of x and the value of y in the expression

$2(3(-2^{3}) +2(12^{2}))$

$2(3(-8) +2(144))$

$2(-24 +288)$

$2(264)$

$528$

3 0

3 years ago

Read 2 more answers

Three friends met for a book club at a coffee shop, each friend ordered a cup of coffee and two donuts. the total of the order w

4vir4ik [10]

Answer:

$Cost\ of\ donut=\frac{49}{24}\approx \$2.042\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

Step-by-step explanation:

a.

$Let\ cost\ of\ coffee=y\\\\cost\ of\ one\ donut=x\\\\Each\ friend\ buy\ one\ coffee\ and\ two\ donuts\\\\Amount\ for\ 1\ friend=Cost\ of\ coffee+2\times cost\ of\ donut\\\\Amount\ for\ 1\ friend=y+2x\\\\Amount\ required\ for\ 3\ friend=3\times Amount\ for\ 1\ friend\\\\Amount\ required\ for\ 3\ friend=3\times (y+2x)\\\\Amount\ required\ for\ 3\ friend=3y+6x\\\\Total\ bill=\$ 22\\\\3y+2x=22\\\\Given\ cost\ of\ coffee=\$3.25\\\\y=\$3.25$

$Hence\ solution\ of\ following\ system\ of\ equation\ will\ give\ cost\ of\ donut:\\\\3y+6x=22\\\\y=3.25\\\\\\Substitute\ y=3.25\ in\ first\ equation\\\\3\times 3.25+6x=22\\\\9.75+6x=22\\\\6x=22-9.75\\\\6x=12.25\\\\x=\frac{12.25}{6}\\\\x=\frac{49}{24}\approx \$2.042\\\\Cost\ of\ donut=\frac{49}{24}\approx \$2.042$

See attached diagram.

b.

$Each\ friend\ takes\ 2\ donuts\\\\Total\ donuts=Number\ of\ friends\times 2\\\\Total\ donuts=3\times 2=6\\\\cost\ of\ donuts=number\ of\ donuts\times cost\ of\ 1\ donut\\\\cost\ of\ donuts=6\times \frac{49}{24}\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

5 0

3 years ago

Write an equation that represents “Eight more than the quotient of a number and two is fourteen.”

seropon [69]

Answer:

I think it's supposed to be 8x+2=14

5 0

4 years ago

What are the roots of the polynomial equation x4+x3=4x2+4x? Use a graphing calculator and a system of equations.

ivann1987 [24]

$x^4+x^3=4x^2+4x\\\\x^4+x^3-4x^2-4x=0\\\\x\Big[x^3+x^2-4x-4\Big]=0\\\\
x\Big[x^2\big(x+1\big)-4\big(x+1\big)\Big]=0\\\\x\Big[\big(x+1\big)\big(x^2-4\big)\Big]=0\\\\x\big(x+1\big)\big(x^2-4\big)=0\\\\
x\big(x+1\big)\big(x+2\big)\big(x-2\big)=0\\\\\\x=0\quad\vee\quad x+1=0\quad\vee\quad x+2=0\quad\vee\quad x-2=0\\\\
\boxed{x=0\quad\vee\quad x=-1\quad\vee\quad x=-2\quad\vee\quad x=2}$

Answer A.

6 0

4 years ago

Read 2 more answers

Which expression is equivalent to –6x3 • x • y2 • y6?

vladimir1956 [14]

Answer:-6x^4y^8

Step-by-step explanation:

7 0

2 years ago