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Deffense [45]
3 years ago
13

Complete factorization of x^3 - 4x^2 + x - 4

Mathematics
2 answers:
zalisa [80]3 years ago
7 0

Answer:

x³ - 4x² + x - 4

= x²(x - 4) + (x - 4)

= (x² + 1)(x - 4).

Step-by-step explanation:

Hope this helped have an amazing day!

Pachacha [2.7K]3 years ago
3 0

Step-by-step explanation:

x³ - 4x² + x - 4

= x²(x - 4) + (x - 4)

= (x² + 1)(x - 4).

Since the quadratic factor (x² + 1) is irreducible any further, this is our answer.

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[50 points]
Marina86 [1]

Answer:

\sf \dfrac{1}{10}

Step-by-step explanation:

From the table:

  • Total number of Sophomores = 10
  • Total number of students = 37
  • Total number of Boys who are Sophomores = 1

\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}

\sf \implies P(Sophomore)=\dfrac{10}{37}

\sf \implies P(Boy \cap Sophomore)=\dfrac{1}{37}

\begin{aligned}\sf P(Boy | Sophomore) & = \sf\dfrac{P(Boy \cap Sophomore)}{P(Sophomore)}\\\\ & = \sf \dfrac{1}{37} \div \dfrac{10}{37}\\\\ & = \sf\dfrac{1}{37} \times\dfrac{37}{10}\\\\ & = \sf\dfrac{1}{10}\end{aligned}

4 0
3 years ago
What is the answer to 5/6+(−1 1/<br> 6)
Kaylis [27]
I think it might be -1

4 0
3 years ago
People attending a basketball game either supported the home team or the visiting team. If 893 of the people attending supported
cupoosta [38]

Answer:

47%

Step-by-step explanation:

893/1900=x/100 x=47%

8 0
3 years ago
Write the equation of the given line in slope intercept form (2,3) (8,6)
Dominik [7]

Answer:

y = 1/2x + 2

Step-by-step explanation:

slope:

6 - 3 / 8 - 2 = 3 / 6 = 1/2

start by putting it in point slope form and then simplify it to slope intercept form:

y - 3 = 1/2(x - 2)

y - 3 = 1/2x - 1

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7 0
3 years ago
A triangle-shaped machine part has sides of 2 1/2 inches, 3 1/4 inches, and 5 inches. The triangle's perimeter is
SOVA2 [1]

Answer:

C

Step-by-step explanation:

The perimeter of any shape is the distance around the edge of the shape. It is found by adding the side lengths of each side together.

Add each side length listed for the triangle part.

P = 2\frac{1}{2} +  3\frac{1}{4} + 5 \\P = 2\frac{2}{4} + 3\frac{1}{4} + 5\\P = 10 \frac{3}{4}

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3 years ago
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