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3 years ago

Simplify the expression below. 4(52x−5)+12x−9

Mathematics

1 answer:

Delicious77 [7]3 years ago

6 0

Answer:

220x-29

Have a great day ig <3

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The universally accepted film size for movies has a width of 35 millimeters. If you want to project a movie onto a square sheet

dlinn [17]

Answer:

<h2>The scale factor is 285.7143 ≅ 286.</h2>

Step-by-step explanation:

The square sheet has an area of 100 square meters.

Hence, the width of the sheet is $\sqrt{100} = 10$ meters.

The scale factor is needs to be in such a way, so that the film's wide will be match perfectly with the square sheet. Hence, 35x millimeters = 10 meters = 10000 millimeters .

$x = \frac{10000}{35} = 285.7143$ .

6 0

3 years ago

Find all the zeros of the equation x^4-6x^2-7x-6=0

rusak2 [61]

Answer:

The zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

$a_0=6,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}$

$-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2$

$=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\$

$=x^3-2x^2-2x-3$

Again factor using the rational root test, we get

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

Using the zero product rule, we have

$x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Therefore, the zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

4 0

3 years ago

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Whats 2+2 i dont know what it is

SOVA2 [1]

Answer:

Step-by-step explanation:

2+2=4

thanks:D

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3 years ago

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What is 1.7 as a fraction?

choli [55]

1.7 as a fraction is 17/10

1.(7) the 7 in the parentheses represents the number after the decimal, which is in the tenths spot. 10 tenths + 7 tenths = 17/10 <-- our answer.

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3 years ago

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Express each as ratio in the simplest form.:

bija089 [108]

Step-by-step explanation:

1) 15/60 = 3/12 = 1/4

2) 8/36 = 4/23

5 0

2 years ago