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3 years ago

if x-1 is a factor of P(x)=x^3- 5x^2 + 7x-3 which of the following represents the complete factorization for P(x)?

Mathematics

1 answer:

kozerog [31]3 years ago

3 0

Answer:

P(x) = (x-1)² (x-3)

Step-by-step explanation:

P(x)=x³- 5x² + 7x-3 = x² (x-1) - 4x(x-1) + 3(x-1) = (x²-4x+3)(x-1)

P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)

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To the nearest hundredth, what is the sine of the acute angle formed by the line whose equation is y = 3x - 3 and the positive x

Serhud [2]

Answer:

The sine of the acute angle is $0.95$

Step-by-step explanation:

using a graphing tool

see the attached figure

Let

A-----> the acute angle formed by the given line and the positive x-axis

In the right triangle XYZ

we know that

$sin(A)=\frac{xy}{xz}$

we have

$xy=3\ units$

$yz=1\ units$

Applying the Pythagoras Theorem find the value of xz

$xz^{2}=3^{2}+1^{2}\\ \\xz^{2}=10\\ \\xz=\sqrt{10}\ units$

substitute

$sin(A)=\frac{3}{\sqrt{10}}=0.95$

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3 years ago

What is 6/4 as a mixed number?

CaHeK987 [17]

1.5 because 6 goes in to 4 1.5 times

8 0

3 years ago

Pls answer asap 7 - 3 r = r - 4 ( 2 + r)

Marianna [84]

Answer:

no real answer

Step-by-step explanation:

distribute the -4 and combine all of the like terms on the left side = r-8-4r, then -8-3r

then we have 7-3r=-8-3r

from here, we can already tell that there's no real answer. this is because the two -3r will cancel, leaving no variable.

since 7 doesn't equal -8, there is no answer.

if, for example, the value on both sides of the equal sign were the same after the variable was eliminated, then your answer would be all real numbers

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2 years ago

Find the measure of each interior angle

diamong [38]

$\bf \textit{sum of all interior angles of a polygon}\\\\
180(n-2)\quad 
\begin{cases}
n=\textit{number of sides}\\
---------\\
n=10
\end{cases}\implies 180(10-2)\implies 1440\\\\
-------------------------------\\\\
\begin{array}{lclll}
&x + 5\\&x + 10\\&x + 20\\&x + 30\\&x + 35\\&x + 40\\&x + 60\\&x + 70\\&x + 80\\+&x + 90\\
&----\\
&10x+440
\end{array}\implies 
\begin{array}{llll}
10x+440=1440
\\\\\\
10x=1000
\\\\\\
x=\cfrac{1000}{10}\implies x=100
\end{array}$

so.. to get every angle, simply plug in 10 for "x" for each.

3 0

3 years ago

If the measure of DAC is x and the measure of CAB is (2x – 30), what is the value of x? (HINT** remember how we label angles, th

Scorpion4ik [409]

Answer:

Step-by-step explanation:

∠ BAD = 90° and

∠ DAC + ∠ CAB = ∠ BAD, that is

x + 2x - 30 = 90

3x - 30 = 90 ( add 30 to both sides )

3x = 120 ( divide both sides by 3 )

x = 40 → b

6 0

3 years ago

if x-1 is a factor of P(x)=x^3- 5x^2 + 7x-3 which of the following represents the complete factorization for P(x)?​

if x-1 is a factor of P(x)=x^3- 5x^2 + 7x-3 which of the following represents the complete factorization for P(x)?