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Nutka1998 [239]
3 years ago
8

4x−6÷x x=6 Help please!

Mathematics
2 answers:
katrin [286]3 years ago
7 0
4(6)-6/(6) = 23

Answer: 23
Leno4ka [110]3 years ago
4 0

Answer:

23

Step-by-step explanation:

It appears that you want to find the value of the expression 4x - 6 ÷ x when x = 6.  Replacing each instance of x with 6, we get:

4(6) - 6 ÷ (6)

Order of opertions rules require that we perform multiplication and division before addition or subtraction.  Thus, our

4(6) - 6 ÷ (6) becomes 24 - (6/6), or 24 - 1, or 23.

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3 years ago
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3 years ago
Find the roots of h(t) = (139kt)^2 − 69t + 80
Sonbull [250]

Answer:

The positive value of k will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80, roots are those values of t so that h(t) = 0. That is:

19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0 (1)

Roots are determined analytically by the Quadratic Formula:

t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}

t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }

The smaller root is t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }, and the larger root is t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }.

h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80 has one real root when \frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0. Then, we solve the discriminant for k:

\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}

k \approx \pm 0.028

The positive value of k will result in exactly one real root is approximately 0.028.

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Answer:

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B) y = -2x

when x = a

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when x= 2a

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