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atroni [7]
3 years ago
14

HELP PLEASE Which functions have a positive rate of change and which have a negative rate of change? Column A Column B 1. 2x − 5

y = −15 2. y = −4x 9 3. x y 2 –10 4 –16 6 –22 4. x y –3 15 –2 11 –1 7 A. positive B. negative
Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0
Number 1 is a positive change
Number 2 is a negative change. So is the rest. I took this assessment today while at the k12 school and these are the right answers. Hopes this helps!
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Help appreciated on question in image!<br> Thanks:)
Verdich [7]

Answer:

x=-1,\:x=-7,\:x=i,\:x=-i

Step-by-step explanation:

Considering the equation

x^4+8x^3+8x^2+8x+7=0

Solving

x^4+8x^3+8x^2+8x+7

\mathrm{Factor\:}x^4+8x^3+8x^2+8x+7:\quad \left(x+1\right)\left(x+7\right)\left(x^2+1\right)

As

\mathrm{Use\:the\:rational\:root\:theorem}

a_0=7,\:\quad a_n=1

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:7,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1

\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:7}{1}

-\frac{1}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+1

=\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]

Solving

\frac{x^4+8x^3+8x^2+8x+7}{x+1}

=x^3+7x^2+x+7

Putting \frac{x^4+8x^3+8x^2+8x+7}{x+1} =  x^3+7x^2+x+7 in equation [A]

So,

\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]

=\left(x+1\right)x^3+7x^2+x+7

As

x^3+7x^2+x+7=\left(x+7\right)\left(x^2+1\right)

So,

Equation [A] becomes

=\left(x+1\right)\left(x+7\right)\left(x^2+1\right)

So,  the polynomial equation becomes

\left(x+1\right)\left(x+7\right)\left(x^2+1\right)=0

\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\mathrm{Solve\:}\:x+1=0:\quad x=-1

\mathrm{Solve\:}\:x+7=0:\quad x=-7

\mathrm{Solve\:}\:x^2+1=0:\quad x=i,\:x=-i

\mathrm{The\:solutions\:are}

x=-1,\:x=-7,\:x=i,\:x=-i

Keywords: polynomial equation

Learn polynomial equation from brainly.com/question/12240569

#learnwithBrainly

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3 years ago
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In June, a runner ran a mile in 7:45. In September, the runner ran a mile in 5:51.
mario62 [17]
The percentage of Change in time is an decrease
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2 years ago
When three pipes fill a pool, they can finish in 12 hours. Two of the pipes can finish in 18 hours if they are working together.
ladessa [460]
3 pipes take 12 hours
⇒ In 1 hour, the 3 pipes can fill 1/12 of the pool

2 of the pipes take 18 hours
⇒ in 1 hour, the 2 pipes can fill 1/18 of the pool

In 1 hour, the third pipe alone can fill :

\dfrac{1}{12} - \dfrac{1}{18} = \dfrac{3}{36} - \dfrac{2}{36} = \dfrac{1}{36} \text { of the pool}

Time needed :

1 \div \dfrac{1}{36} = 1 \times 36 = 36 \text { hours}

----------------------------------------------------------------------------------------
Answer: It will take 36 hours for the third pipe to fill the pool.
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A large botanical garden has a total of 500 trees, bushes, and cacti. Pie chart with the following pieces: blue section titled t
Tanzania [10]
There are 190 trees.
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2 years ago
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Did I get this right or no I need help
Licemer1 [7]

Answer:

Correct

Step-by-step explanation:

You got the right equation

7 0
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