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3 years ago

5

Evaluate 15÷3·(-2) + |-10|

2 answers:

vovikov84 [41]3 years ago

6 0

The answer is 0. If you plug it into a calculator it takes only 5 seconds.

Scilla [17]3 years ago

6 0

I am horrible at math but i think this may be zero because the -10 would become positive?? sorry if this isn't much help ): good luck!

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Find the slope between the<br> following points:<br> (-1,19) and (11,16)

patriot [66]

Answer:

Slope =-1/4

Step-by-step explanation:

y=mx+n

Slope=m=(y2-y1)/(x2-x1)

A(-1,19).... x1 =-1, y1=19

B(11,16)..... x2=11, y2=16

Slope=(16-19)/(11-(-1))=(-3)/(11+1)=-3/12=-1/4

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3 years ago

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Write 7/50 as a percentage

klio [65]

Answer:

14%

Step-by-step explanation:

To change a fraction to a percentage multiply fraction by 100%, that is

$\frac{7}{50}$ × 100% = 7 × 2% = 14%

4 0

3 years ago

Read 2 more answers

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

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5 0

3 years ago

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In the first generation there are 4 monkeys on an island. Every generation after that the monkey population doubles. In generati

UNO [17]

Answer:

C

Step-by-step explanation:

6 0

3 years ago

One side of a kite is 8 cm less than four times the length of another side. The perimeter of the kite is 78 cm. Find the lengths

Yuliya22 [10]

Answer:

$9.4\:\mathrm{cm},\\9.4\:\mathrm{cm},\\29.6\:\mathrm{cm},\\29.6\:\mathrm{cm}$

Step-by-step explanation:

A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:

$2x+2(4x-8)=78$ , where $x$ is the length of the shorter sides.

Solving, we get:

$2x+8x-16=78,\\10x=94,\\x=\fbox{$9.4\:\mathrm{cm}$}$ .

Plugging in $x=9.4$ into $4x-8$ , we get:

$4(9.4)-8,\\37.6-8,\\\fbox{$29.6\:\mathrm{cm}$}$ .

Therefore, two sides have length $9.4\:\mathrm{cm}$ and two sides have length $29.6\:\mathrm{cm}$ .

3 0

3 years ago