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2 years ago

What is the answer to −3(2w+6)−4 ?

Mathematics

2 answers:

hodyreva [135]2 years ago

6 0

First you would distribute and get -6w-18=12 and w=5

malfutka [58]2 years ago

5 0

If you are trying to find w, then we would assume that all of this is equal to 0, and we would have to rewrite this equation.

-3(2w+6)-4=0

Now we are going to use the distribution property, to distribute the -4 to everything inside of the parenthesis. And that will get rid of the 4.

-3((2w*4)+(6*4))=0

next we are going to find what 2w*4 and 6*4 equal.

-3(8w+24)=0

Now this is an easier equation to work with. Divide both sides by -3, because whatever we do to one side we must do to the other.That will cross out the -3 on the left of the equation. And 0/-3 is equal to 0.

(8w+24)=0 or 8w+24=0

Now this is a 2 step equation, my favourite kind. we are going to subtract 24 from both sides. That will cancel out the +24 on the left.

8w=-24

And finally we divide both sides by 8. leaving us with

w=-24/8 or -3

<h2>So we now know that -3(2w+6)-4 is equal to <u><em>w=-3</em></u></h2>

I hope this helps. If you need any help with this or any other question, just ask. I am here to help.

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Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machin

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Answer:

3 machine

Step-by-step explanation:

It is given that 6 machine each working at the same rate can complete the work in 12 days

We the has to complete in 8 days

Let we need x extra machine to complete the work in 8 days

So total number of machines =x+6

Now according to man work day equation $M_1D_1=M_2D_2$

$6\times 12=(x+6)\times 8$

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3 years ago

H(x)=3x^2+7<br> h(0)<br> help!

Angelina_Jolie [31]

Answer:

h(0) = 7

Step-by-step explanation:

by saying h(0) it is asking you to plug in 0 as the x value

3(0)^2 = 0

0 + 7 = 7

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2 years ago

What are the real or imaginary solutions of the polynomials x4 -52x2 + 576 = 0

asambeis [7]

Hello,

Answer B

x^4-52x²+576=0
==>x^4-16x²-36x²+576=0
==>x²(x²-16)-36(x²-16)=0
==>(x²-16)(x²-36)=0
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3 years ago

How many 1.4 meter sections of rope can be cut from a length of rope 6 meters long?

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2 years ago

MAT 171

steposvetlana [31]

Using the Factor Theorem, the polynomials are given as follows:

1. $P(x) = x^5 + 2x^4 - 7x^3 + x^2$

2. $P(x) = 0.8(x^4 - 4x^3 - 16x^2 + 64x)$

3. P(x) = -0.1(x³ - 4x² - 3x + 18)

<h3>What is the Factor Theorem?</h3>

The Factor Theorem states that a polynomial function with roots $x_1, x_2, \codts, x_n$ is given by:

$f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)$

In which a is the leading coefficient.

Item a:

The parameters are:

$a = 1, x_1 = x_2 = 1, x_3 = x_4 = 0, x_5 = -4$

Hence the equation is:

P(x) = (x - 1)²x²(x + 4)

P(x) = (x² - 2x + 1)(x + 4)x²

P(x) = (x³ + 2x² - 7x + 1)x²

$P(x) = x^5 + 2x^4 - 7x^3 + x^2$

Item b:

The roots are:

$x_1 = x_2 = 4, x_3 = 0, x_4 = -4$

Hence:

P(x) = a(x - 4)²x(x + 4)

P(x) = a(x² - 16)x(x - 4)

P(x) = a(x³ - 16x)(x - 4)

$P(x) = a(x^4 - 4x^3 - 16x^2 + 64x)$

It passes through the point x = 5, P(x) = 36, hence:

45a = 36.

a = 4/5

a = 0.8

Hence:

$P(x) = 0.8(x^4 - 4x^3 - 16x^2 + 64x)$

Item 3:

The roots are:

$x_1 = x_2 = 3, x_3 = -2$

Hence:

P(x) = a(x - 3)²(x + 2)

P(x) = a(x² - 6x + 9)(x + 2)

P(x) = a(x³ - 4x² - 3x + 18)

For the y-intercept, x = 0, y = -1.8, hence:

18a = -1.8 -> a = -0.1

Thus the function is:

P(x) = -0.1(x³ - 4x² - 3x + 18)

More can be learned about the Factor Theorem at brainly.com/question/24380382

#SPJ1

5 0

1 year ago