<h3>
Answer: 5</h3>
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Work Shown:
x^2 - 5x + 1 = 0
x^2 + 1 - 5x = 0
x^2 + 1 = 5x
(x^2 + 1)/x = 5 .... where x is nonzero
(x^2)/x + (1/x) = 5
x + (1/x) = 5
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An alternative method involves solving the original equation using the quadratic formula. After you get the two roots x = p and x = q, you should be able to find that p + 1/p = 5 and also q + 1/q = 5 as well.
In this case,
p = (5 + sqrt(21))/2
q = (5 - sqrt(21))/2
Answer:
140 cm²
Step-by-step explanation:
The height of the parallelogram is 10cm . And its base is 14cm .We know that the area of parallelogram is product of base and height .
⇒ Area = base × Height
⇒ Area = 14cm × 10cm
⇒ Area = 140 cm² .
<h3>
<u>Hence </u><u>the</u><u> </u><u>area </u><u>of</u><u> the</u><u> </u><u>parall</u><u>elogram</u><u> is</u><u> </u><u>1</u><u>4</u><u>0</u><u> </u><u>cm²</u><u> </u><u>.</u></h3>
Check the picture below, so let's check the equations below hmmm
![\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cboxed%7BA%7D%5C%5C%5C%5C%20y%3D%5Ccfrac%7B16-3x%7D%7B4%7D%5Cimplies%20y%3D%5Ccfrac%7B-3x%2B16%7D%7B4%7D%5Cimplies%20y%20%3D%20%5Ccfrac%7B-3x%7D%7B4%7D%2B%5Ccfrac%7B16%7D%7B4%7D%5Cimplies%20y%3D-%5Ccfrac%7B3%7D%7B4%7Dx%5Cstackrel%7B%5Cstackrel%7Bb%7D%7B%5Cdownarrow%20%7D%7D%7B%2B4%7D~%5Chfill%20%5Cbigotimes%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

Answer: 1
Step-by-step explanation:
Experimental probability is the actual result you get from an experement.
Theoretical probability is the change that you will get that result.
(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)
therefore,
1/6 is the Theoretical probability because you are using a six-sided number cube.
for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.
1/6 equals 8/48.
therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.
6 is not one of the answer choices listed so 1 must be your answer.
The answer is 13 because you add.