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lakkis [162]
4 years ago
9

Find the polynomial function with leading coefficient 3 that has the given degree and zeros.

Mathematics
1 answer:
Gnoma [55]4 years ago
5 0
So you know that there are three zeroes, and that it is to the 3rd degree, so you know that there are going to be 3 terms initially.

(x+2)(x-1)(x-4) - You can multiply by 3 at the end

x^2 - x + 2x -2
(x^2 + x - 2)(x - 4)

x^3 - 4x^2 + x^2 - 4x - 2x + 8
x^3 - 3x^2 - 6x + 8

f(x) = 3x^3 - 9x^2 - 18x + 24
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Divide 150 into 3 parts in the proportion of 4, 6 and 2 1/2 respectively<br><br>​
Feliz [49]

Answer:

Hope this helps!!

Step-by-step explanation:

4 = 48

6 = 72

2 \frac{1}{2} = 30

PLZZ MARK BRAINLIEST

5 0
3 years ago
Round 30713.517126 to the nearest hundred
slava [35]

Answer:

30700

Step-by-step explanation:

If the number after is under 5, it is rounded up. If lower than five, the number stays the same.

6 0
3 years ago
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Anja simplified the expression StartFraction 10 x Superscript negative 5 Baseline Over Negative 5 x Superscript 10 Baseline EndF
Gwar [14]

The mistake that Anja made during the simplification of the considered expression is given by: Option C:  She subtracted the coefficients instead of dividing them

<h3>What are coefficients?</h3>

Constants who are in multiplication with variables are called coefficients of those variables.

For example, in 10x^2 we have 10 as coefficient of x^2

Those variables who have got no visible coefficient has 1 as their coefficient. Thus, x^2 has got its coefficient as 1. It is true since 1 multiplied with any number is that number itself.( x^2 = 1 \times x^2 )

<h3>What are some basic properties of exponentiation?</h3>

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c

For the considered situation, the expression that Anja is simplifying is:
\dfrac{10x^{-5}}{-5x^{10}}

Anja simplified it to \dfrac{15}{x^{15}}

She performed operations with variable 'x' correctly since

\dfrac{x^{-5}}{x^{10}} = \dfrac{1}{x^5} \times \dfrac{1}{x^{10}} = \dfrac{1}{x^{15}}

But coefficients will also get divided. Instead of dividing 10 by -5, she subtracted them (as 10 - (-5) = 10 + 5 = 15)

This was her mistake.

The correct simplification would be: \dfrac{10x^{-5}}{-5x^{10}} = \dfrac{10}{-5} \times \dfrac{x^{-5}}{x^{10}} = -2 \times \dfrac{1}{x^{15}} = \dfrac{-2}{x^{15}} = -2x^{-15}

Thus, the mistake that Anja made during the simplification of the considered expression is given by: Option C:  She subtracted the coefficients instead of dividing them

Learn more about exponent and bases here:

brainly.com/question/847241

4 0
2 years ago
The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?
Stella [2.4K]

Answer:

\fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}

Step-by-step explanation:

\star{ \sf{ \:  \: Length \: of \: a \: rectangle ( l )  = (2x - 5) }}

\star{ \sf{ \: Width \: of \:  a \: rectangle ( w ) = (3x + 4)}}

\star{ \sf{ \:  \: Perimeter \: of \: a \: rectangle =  ?}}

\boxed{ \bold{  \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}

\hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}

\text{Step \: 1 : \: Collect \: like \: term}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}

\hookrightarrow{ \sf{2(2x  + 3x - 5 + 4)}}

\hookrightarrow{ \sf{2(5x - 5 + 4)}}

\text{Step \: 2  \: :  \: Subtract \: 4 \: from \: 5}

\text{Remember !\:  : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}

\hookrightarrow{ \sf{2(5x - 1)}}

\text{Step \: 3 \:  :  \: Distribute \: 2 \: through \: the \: parentheses}

\hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}

\hookrightarrow{ \sf{10x - 2}}

\sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}

\text{Hope \: I \: helped !}

\text{Best \: regards ! }

~\text{TheAnimeGirl}

5 0
3 years ago
The supreme leader of Iran heads what type of government?
aliya0001 [1]

Answer:

Iran's government is theocracy

5 0
3 years ago
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