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3 years ago

Please help. Algebra.

Mathematics

1 answer:

navik [9.2K]3 years ago

4 0

The answer is C

Explanation: each ride costs $1.25 but they don’t give a number of rides therefore the number of rides is unknown and represents X. 64 was the total value of his money before the rides. With each ride you add -1.25 to 64, which gives diminishing returns for each ride.

Hope 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

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

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

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

$a_0=7,\:\quad a_n=1$

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

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

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

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

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,

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

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

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

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

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5 0

3 years ago

Read 2 more answers

Please help me <br> I will give metal

kogti [31]

Answer:

# 1 Liam is 171 miles from Troy.

#2 The ball bounces 6 times.

Step-by-step explanation:

#1 adding 147 to 47 equals 171. If Liam and Sidney are 124 miles apart and Troy is 47 more miles apart from Liam then it is adding the distance already given to the distance he is from Sidney since she is in the middle.

#2 from 40 to 20 to 20 to 10 from 10 to 5 from 5 to 2.5 from 2.5 to 1.25. Just divide by 2 till it is 2 or less than feet.

8 0

3 years ago

Help me with 18 19 and 20 plz

Rzqust [24]

19: He multiplied instead of dividing which will make a totally incorrect answer

6 0

3 years ago

Is anyone good at math on the top of their head pls comment below ASAP!!!

saul85 [17]

Answer:

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