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3 years ago

Solve for K 20-6 + 4K =2-2k

Mathematics

1 answer:

nikdorinn [45]3 years ago

7 0

Answer:

Step-by-step explanation:

20-6 + 4K =2-2k

=> 14 + 4k = 2 - 2k

=> 4k + 2k = 2 - 14

=> 6k = -12

$= > k = \frac{ - 12}{6}$

=> K = -2 (Ans)

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Solve the equation x^2+6x= -11/4

xxTIMURxx [149]

Answer:

Step-by-step explanation:

First, move the -11/4 to the other side, so the expression can equal 0.

$x^2+6x+11/4=0$

To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.

$4x^2+24x+11=0$

There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).

Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of $4x^2$ and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.

$4x^2$ : 24x 11:

2x 22x 11

2x 2x 1

24x (works)

I'll then take the factors diagonal. (2x+1)(2x+11)=0

So $x=-\frac{1}{2}, -\frac{11}{2}$

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2 years ago

98 POINTS // ANSWER ASAP // NO GUESSING

GuDViN [60]

Answer:

(A) i will go 0 to 180 to be at a even round number

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3 years ago

The probability that a vehicle will change lanes while making a turn is 45%. Suppose a random sample of 7 vehicles are observed

Ksenya-84 [330]

Answer:

0.1529

Step-by-step explanation:

Given that:

Probability of changing lane ; p = 45% = 0.45

Sample size (number of trials) = n = 7

Probability that atleast 5 vehicles will change lane :

Using the binomial probability formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

(1 - p) = 1 - 0.45 = 0.55

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x = 5) = 7C5 * 0.45^5 * 0.55^2

P(x = 5) = 21 * 0.45^5 * 0.55^2 = 0.117221

P(x = 6) = 7C6 * 0.45^6 * 0.55^1

P(x = 6) = 7 * 0.45^6 * 0.55^1 = 0.031969

P(x = 7) = 7C7 * 0.45^7 * 0.55^0

P(x = 7) = 1 * 0.45^7 * 0.55^0 = 0.003736

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x ≥ 5) = 0.117221 + 0.031969 + 0.003736

P(x ≥ 5) = 0.152926

P(x ≥ 5) = 0.1529

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miv72 [106K]

Answer:

Slope: 5/3, y-intercept (0,-3)

Step-by-step explanation:

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3 years ago

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4 years ago