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11Alexandr11 [23.1K]
3 years ago
10

Help Asap! I have 30 minutes! 30 Points!

Mathematics
2 answers:
Vladimir79 [104]3 years ago
6 0
(2x - 5) (5x - 10)
Use FOIL
10x² - 20x - 25x + 50

10x²  - 45x + 50
 

5( 2x² - 9x + 10)

     2x           -5 
      x             -2

5(2x - 5)(x -2)

make each equal to 0
2x - 5 = 0
x - 2 = 0

2x - 5 = 0                        x - 2 = 0
2x - 5 (+5) = 0                x - 2 (+2) = 0 (+2)
2x = 5                             x  = 2
x = 5/2

x = 5/2 , 2

hope this helps
Damm [24]3 years ago
5 0
<span>Help Asap! I have 30 minutes! 30 Points!
What is the value of x? (2x - 5) (5x - 10)
(No answers, you have to write the answers)</span>

(2x-5)(5x-10)= 0 \\  \\ the\  distributive\  property. \\  \\ 10x^2-20x-25x+50 = 0 \\  \\ 10x^2-45x +50 = 0 \\  \\ Bhaskara  \to \ x _{1\ and\ 2} =   \dfrac{-b\pm  \sqrt{b^2-4ac} }{2a} \quad a=10\quad b= -45\quad c=50 \\  \\  \\ \ x _{1\ and\ 2} =   \dfrac{-(-45)\pm  \sqrt{(45)^2-4(10)(50)} }{2(10)} \\  \\  \\\ x _{1\ and\ 2} =   \dfrac{+45\pm  \sqrt{2025-2000} }{20} \\  \\  \\\ x _{1\ and\ 2} =   \dfrac{+45\pm  \sqrt{25} }{20}

x _{1\ and\ 2} =   \dfrac{+45\pm 5 }{20} \\  \\  \\ x _{1} =   \dfrac{+45+ 5 }{20} \qquad\qquad  x _{2} =   \dfrac{+45-5 }{20}\\  \\  \\ x _{1} =   \dfrac{50 }{20} \qquad\qquad \qquad x _{2} =   \dfrac{+40 }{20}\\  \\  \\ x _{1} =   \dfrac{5 }{2} \qquad\qquad \qquad x _{2} =   \dfrac{+4 }{2} \\  \\  \\  \boxed{\\  \\  \\ x _{1} =   \dfrac{5 }{2} \qquad\qquad \qquad x _{2} =  2}


I wish you much success in your studies!!!!
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1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that t_{\alpha/2}=1.81

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We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

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