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Mazyrski [523]
3 years ago
5

Write the expression x³+3x²+x-5 in terms of linear factors.

Mathematics
1 answer:
NARA [144]3 years ago
4 0

Answer:

i  (x - 1)  (x^2 + 4 x + 5)

ii (x-1)(x + (2 - i)) (x + (2 + i))

Step-by-step explanation:

To find the linear terms you have to factorize the polynomial.

Applying the difference of cubes, you find the first linear term. Using the quadratic formula you find the other linear terms.

\frac{-b - \sqrt{b^2 - 4ac}}{2a}

\frac{-b + \sqrt{b^2 - 4ac}}{2a}

As you may see the last terms are complex because the  result of the square root is negative.

(x + (2 - i)) (x + (2 + i))

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Find the coordinates of the midpoint of a segment having the given endpoints.
inysia [295]

Answer:

A. (1.55, 2)

Step-by-step explanation:

The formula to apply when finding the midpoint of a segment where the coordinates of the end points are given is;

midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

where (x₁,y₁) and (x₂,y₂) are the coordinates of the end points

Given;

x₁= -0.4 ,y₁=2.5,  x₂=3.5, y₂=1.5 then applying the formula for midpoint

=(\frac{-0.4+3.5}{2} ,\frac{2.5+1.5}{2} )\\\\\\=(\frac{3.1}{2} ,\frac{4.0}{2} )\\\\\\=(1.55,2.0)

3 0
3 years ago
Select the correct answer.<br> Find the sum of 2 + (-) + 3
White raven [17]

Answer:

-1

Step-by-step explanation:

Firstly + and (-) become - and again same thing will happen

<em>Hope</em><em> </em><em>it</em><em> helps</em><em> you</em><em>.</em><em>.</em><em>.</em><em>.</em><em>☺</em>

8 0
3 years ago
Helen had $12 but spent $3 of it. What per cent did she spend?
Bezzdna [24]

Answer:

25%

Step-by-step explanation:

Its basic division really. The easiest way to think of it is how many times can 3 fit into 12 three fits into 12 four times in fraction that's 1/4 or 1 over 4. Just like the quarter (United States quarter) each one is 25 cents and you need 4 of then to make 1 US dollar or 100% so each group of three is 25 percent. This under standing could work with a variety of numbers 5 is what percent of 20 or 7 is what percent of 28 if it comes in 4s each is 25%. Hope this helps.

4 0
3 years ago
Read 2 more answers
Help me please !!
Levart [38]

Answer:

69

Step-by-step explanation:

first 135

second 135 - 20% = 135 - 27 = 108

third 108 - 20% = 108 - 21.6 = 86.4

fourth 86.4 -20% = 86.4 -17.28= 69.12

rounded 69

7 0
3 years ago
Find the geometric mean of the data below:<br><br> 2, 5, 7
Vsevolod [243]

Answer:

\sqrt{70}

Step-by-step explanation:

Given data:

         2, 5 , 7

The geometric mean is a measure of central tendency of a data set which utilizes the product of their values

To find the geometric mean of the given values;

  • multiply them together
  • find the square root;

Geometric mean  = \sqrt{2 x 5 x 7 }  

Geometric mean  = \sqrt{70}

7 0
3 years ago
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