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3 years ago

Please help me answer 1-30

Mathematics

1 answer:

Feliz [49]3 years ago

4 0

Answer:

21.) 47/100

Step-by-step explanation:

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The quotient of an unknown number and -13 is -14

zysi [14]

Answer:

182

Step-by-step explanation:

Quotient is division

Q/-13 = -14

Multiply each side by -13

Q/-13 * -13 = -14* -13

Q =182

The unknown number is 182

7 0

3 years ago

18 minus 7 x = negative 20.5 What is the value of x? Negative 5 and one-half Negative StartFraction 5 Over 14 EndFraction StartF

alisha [4.7K]

Answer:

x = 5.5 (Fraction 5 and one-half)

Step-by-step explanation:

18 - 7x = -20.5

-18 -18

-7x = -38.5

/-7 /-7

x = 5.5

3 0

3 years ago

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

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5 0

3 years ago

Read 2 more answers

ANSWER FOR 20POINTS PLEASE

krok68 [10]

Answer:

$| {7}^{2} - 8| = |49 - 8 = |41| = 41$

7 0

3 years ago

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Solve for x -3x+2=-11 please

larisa [96]

Answer:

6.5

Step-by-step explanation:

We need to solve out for x , the given Equation is ,

$: \implies$ x - 3x + 2 = -11

$: \implies$ -2x = -11 -2

$: \implies$ -2x = -13

$: \implies$ x = -13/-2

$: \implies$ x = 6.5

4 0

3 years ago

Read 2 more answers