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Ymorist [56]
2 years ago
10

Factor the expression completely. x^4-9x^2+14 x 4 −9x 2 +14

Mathematics
1 answer:
Kobotan [32]2 years ago
8 0
Answer: 3x^2(5x^2-6)+14
(WORK SHOWN BELOW)

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Pls help me!! thank you!!
klasskru [66]

Full working out shown from step 1 to last.

follow it and you get 24 square feet as final answer. Good luck in other questions!!!

3 0
3 years ago
Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell Building to the
Ray Of Light [21]

Answer:

E

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

                Sample mean ( x^ ) = 12.3 mins

                Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

  • Significance Level  ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025

Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of  walking times is given below:

                      [ x^ - z-critical*s / √n  ,   x^ + z-critical*s / √n  ]

Answer:        [ 12.3 - 1.96*3.2 / √24  ,  12.3 + 1.96*3.2 / √24  ]

                   

3 0
3 years ago
Descried how to derive the quadratic formula from a quadratic equation in standard form
Aleks [24]

Answer:

The standard form of a quadratic equation is:

ax^2+bx+c=0, a\neq 0

Quadratic Formula Derivation:

ax^2+bx+c=0\\

$x^2+\frac{b}{a}x+\frac{c}{a} =0 $

$x^2+\frac{b}{a}x = -\frac{c}{a}$

Completing the Square:

$x^2+\frac{b}{a}x +\frac{b^2}{4a^2} = \frac{b^2}{4a^2}-\frac{c}{a}$

$  ( x+\frac{b}{2a} )^2 =  \frac{b^2-4ac}{4a^2}  $

Square Root property:

$x+\frac{b}{2a}  = \pm \sqrt{ \frac{b^2-4ac}{4a^2}}   $

$x  = -\frac{b}{2a} \pm  { \frac{\sqrt {b^2-4ac}}{2a}}   $

$x  =  \frac{-b\pm\sqrt{b^2-4ac}} {2a}  }   $

8 0
3 years ago
ahmad had a balance of $46 in his checking account he made a deposit of $56 and wrote checks for $17 and $30 his bank charged hi
poizon [28]
Ahmad should have $52 left
6 0
3 years ago
Read 2 more answers
A cube and a square pyramid were joined to form the composite solid.
Yakvenalex [24]
We know that
<span>total surface area of the composite solid=surface area of the pyramid+surface area of the cube

surface area of the pyramid=4*area of lateral triangle side
area of lateral triangle side=12*9/2----> 54 in</span>²
surface area of the pyramid=4*54---> 216 in²

surface area of the cube=5*[12*12]----> 720 in²

total surface area of the composite solid=216 in²+720 in²---> 936 in²

the answer is the option
<span>936 square inches </span>
5 0
3 years ago
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