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Veronika [31]
3 years ago
5

Factorize; x cubed - x squared y ? ASAP, please

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

x²(x - y)

Step-by-step explanation:

x³ - x²y ( x² is common to both terms so factor it out )

= x²(x - y)

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4x square+ 8 x - 5=0<br><img src="https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20-%205%20%3D%200" id="TexFormula1
Damm [24]

Answer:

x = \frac{1}{2}

x = -\frac{5}{2}

Step-by-step explanation:

Solve Using the Quadratic Formula

     4x^2 + 8x − 5 = 0

Use the quadratic formula to find the solutions.

    −b ± √b^2 − 4 (ac)

     -------------------------

               2a

Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.

    −8 ± √82 − 4 ⋅ (4 ⋅ −5)

     -------------------------

              2 ⋅ 4

Simplify the numerator.

Raise 8 to the p ower of 2.

     −8 ± √64 − 4 ⋅ 4 ⋅ −5

x=     ---------------------------

               2 ⋅ 4

Multiply −4 by 4.

        −8 ± √64 − 16 ⋅ −5

x =       -------------------------

                2 ⋅ 4

Multiply −16 by −5.

        −8 ± √64 + 80

x =       -------------------

               2 ⋅ 4

Add 64 and 80.

        −8 ± √144

x =        --------------

             2 ⋅ 4

Rewrite 144 as 12^2.

        −8 ± √122

x =       ------------

            2 ⋅ 4

Pull terms out from under the radical, assuming positive real numbers.

multiply 2 by 4          

        −8 ± 12

x=     ------------

            8

simplify

    −2 ± 3

x=   ---------

        2

The final answer is the combination of both solutions.

x= 1/2, -5/2

Hope this helped!

6 0
3 years ago
Read 2 more answers
A pair of consecutive integers has the property that 8 times the lesser is more than 4 times the greater. Find the least pair of
daser333 [38]
2 and 3
negative numbers won't work, nor will 0
1 and 2 won't work because 1*8=2*4
2 and 3 is the answer
5 0
3 years ago
Select all expressions equivalent to 9(2x - 5)
Paraphin [41]
18x - 45 and 3(6x - 15)
5 0
2 years ago
Jim and Martha are standing together at the corner of a rectangular field. Jim walks diagonally across the field. Martha gets to
IgorC [24]

Answer:

Matha - Jim = 200 feet.

Step-by-step explanation:

<em><u>Jim's distance</u></em>

J = sqrt(w^2 + L^2)

  • w = 300
  • L = 400

J = sqrt(300^2 + 400^2)

J = sqrt(900 + 1600)

J = sqrt(2500)

J = 500

<em><u>Martha's distance</u></em>

M = 300 + 400

M = 700 Feet

Answer

M - J = 700 - 500 = 200

Jim walks 200 feet less than Martha.

7 0
3 years ago
In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of th
IrinaVladis [17]

Since angle C is not 90 degrees, it's one of the acute angles
in the right triangle.


               (The side adjacent to angle C ) divided by (hypotenuse)

is the cosine of angle C .       


                    (adjacent) / (10 inches)  =  cos(40 degrees)

Multiply each side by (10 inches):

                    Adjacent side = (10 inches) x cos(40) =

                                              (10 inches)  x  0.766  = 

                                                              7.66 inches   (rounded)
 
6 0
3 years ago
Read 2 more answers
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