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Rainbow [258]
3 years ago
8

Which expression is the factored form of −1.5w+7.5 ?

Mathematics
1 answer:
dybincka [34]3 years ago
8 0

Answer: C -1.5(w-5)

Factor -1.5 out of -1.5w +7.5

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What fraction is equivalent to the decimal and percent below? Enter your
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Step-by-step explanation:

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3 years ago
Find LCM of:<br><br>x2 - 9, 3x3 + 81​
VikaD [51]

Answer:

\boxed{\pink{\sf (x + 3) \ is\ the \ LCM . }}

Step-by-step explanation:

Given two expressions ,

\qquad (1)\: x^2 - 9 \\\\ \qquad (2)\:3x^3 + 81

And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .

<u>Factorising</u><u> </u><u>x²</u><u> </u><u>-</u><u> </u><u>9</u><u> </u><u>:</u><u>-</u><u> </u>

= x^2 - 9 \\\\= x^2 - 3^2 \\\\ \red{= (x+3)(x-3)} \qquad\bf [Using \ a^2-b^2 = (a+b)(a-b) ]

<u>Factorising</u><u> </u><u>3x</u><u>³</u><u> </u><u>+</u><u> </u><u>8</u><u>1</u><u> </u>

= 3x^3 + 81\\\\= 3(x^3+27) \\\\= 3( x^3+27) \\\\ = 3(x^3+3^3) \\\\ \red{= 3 [ (x+3)(x^2+9-3x) ] } \qquad \bf{[ Using \ a^3+b^3=(a+b)(a^2+b^2-ab) ] }

Hence we can see that (x+3) is common factor in both expressions.

<u>Hence</u><u> </u><u>the</u><u> </u><u>LCM</u><u> </u><u>is</u><u> </u><u>(</u><u> </u><u>x</u><u>+</u><u>3</u><u> </u><u>)</u><u> </u><u>.</u>

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3 years ago
What is y= 4^x with the domain of (-2,0,3)
Elena L [17]

Step-by-step explanation:

\text{Put}\ x=-2,\ x=0\ \text{and}\ x=3\ \text{to the equation}\ y=4^x:\\\\y=4^{-2}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\y=\dfrac{1}{4^2}=\dfrac{1}{16}\\-----------------\\\\y=4^0=1\\-----------------\\\\y=4^3=64

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4 years ago
A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of
Verdich [7]

Answer:

length and width=4

height=8

Step-by-step explanation:

Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.

Ecuation 1

Leght=Width

.L=W

Ecuation 2

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<em />

<em>Using ecuation 2</em>

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\frac{128}{W^2}-4=W\\W^3+4W^2-128=0

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4

W=4in

L=4in

to find  the height we use the ecuation 2

H-4=W

H=4+W

H=4+4=8

H=8IN

7 0
3 years ago
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