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Usimov [2.4K]
3 years ago
15

Help on questions 11 and 15 Add and simplify if possible

Mathematics
2 answers:
Svetllana [295]3 years ago
7 0
\frac{16+x}{x^3}+\frac{7-4x}{x^3}=\frac{16+x+7-4x}{x^3}=\frac{23-3x}{x^3}\\\\======================================\\\\\frac{5}{t-1}+\frac{3}{t}=\frac{5t}{t(t-1)}+\frac{3(t-1)}{t(t-1)}=\frac{5t+3t-3}{t^2-t}=\frac{8t-3}{t^2-t}
nika2105 [10]3 years ago
4 0
\frac{16+x}{x^{3} } +  \frac{7-4x}{ x^{3} } 
 \\ 16+x+7-4x = 23-3x
 \\  \frac{23 -3x}{ x^{3} }
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\frac{5}{t-1}  +\frac{3}{t} 
  \\ \\  \frac{5t+(t-1)(3)}{(t-1)(t)} 
 \\ \\   \frac{5t+3t-3}{ t^{2}-t } 
 \\ \\   \frac{8t-3}{ t^{2}-t }
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alexandera worked 5 hours one day 4.5 hours another and 2.5 another. Find the mean average deviation.
lara31 [8.8K]

Answer:

1.16667

Step-by-step explanation:

3 0
4 years ago
7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0​
morpeh [17]

Hey there!

<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>

  • Answer :

x = -4 or x = 2 ✅

  • Explanation :

<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :

  • If b² - 4ac > 0 , There are 2 real-number solutions

  • If b² - 4ac = 0 , There is 1 real-number solution.

  • If b² - 4ac < 0 , There is no real-number solution.

The <em><u>roots</u></em> of the equation are determined by the following calculation:

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

Here, we have :

  • a = 1
  • b = 2
  • c = -8

1) <u>Calculate </u><u>the </u><u>discrim</u><u>i</u><u>n</u><u>ant</u><u> </u><u>:</u>

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>

▪️ (1)

x_1 =  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\ x_1 =  \frac{ - 2 -  \sqrt{36} }{2(1) }  \\  \\ x_1 =  \frac{ - 2 - 6}{2}   \\ \\ x_1 =  \frac{ - 8}{2}  \\  \\ \blue{\boxed{\red{x_1 = -4}}}

▪️ (2)

x_2 =  \frac{ - b  +   \sqrt{ {b}^{2} - 4ac } }{2a}  \\  \\ x_2 =  \frac{ - 2 +  \sqrt{36} }{2(1)}  \\  \\ x_2 =  \frac{ - 2 + 6}{2}  \\  \\ x_2 =  \frac{4}{2}  \\  \\ \red{\boxed{\blue{x_2 = 2}}}

>> Therefore, your answers are x = -4 or x = 2.

Learn more about <u>quadratic equations</u>:

brainly.com/question/27638369

6 0
2 years ago
Read 2 more answers
243^-y=(1/243)^3y*9^-2y<br><br><br> a.) y=-1<br> b.) y=0<br> c.) y=1<br> d.) no solution
allochka39001 [22]
243^{-y}=(\frac{1}{243})^{3y}\times 9^{-2y} has y = 0 as a solution.

Selection B is appropriate.
8 0
3 years ago
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PLEASE HELP!!!! thank you if you help me!
ELEN [110]

Answer:

i can see nothing

Step-by-step explanation:

5 0
3 years ago
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Y=2x-5<br> 3x+8y+32=56 <br> What does y and x equal?
AVprozaik [17]
Y = 2x - 5
3x + 8y + 32 = 56
3x + 8(2x - 5) + 32 = 56
3x + 8(2x) - 8(5) + 32 = 56
3x + 16x - 40 + 32 = 56
19x - 8 = 56
<u>      + 8   + 8</u>
     <u>19x</u> = <u>64</u>
      19     19
         x = 3.4
y = 2(3.4) - 5
y = 6.8 - 5
y = 1.8
(x, y) = (3.4, 1.8)
5 0
3 years ago
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