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3 years ago

Provide the value of k: (2x-1)(kx+1)=6x^2-x-1

Mathematics

2 answers:

guapka [62]3 years ago

4 0

Answer:

k = 3

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on both sides.

(2x - 1)(kx + 1) ← expand using FOIL

= 2kx² + 2x - kx - 1

Compare the coefficients of the x² term on both sides

2k = 6 ( divide both sides by 2 )

k = 3

elixir [45]3 years ago

4 0

Answer:

k= 6x-3/2x-1

Step-by-step explanation:

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Need to show work for limits

Sergeu [11.5K]

Answer:

$\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = \infty$

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:
$\displaystyle \lim_{x \to c} x = c$

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3)$

Step 2: Evaluate

[Limit] Apply Limit Rule [Variable Direct Substitution]:
$\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = -7(- \infty)^5 + (- \infty)^3$

Recall that x⁵ is a "faster" function than x³. Also recall that we have 2 negatives, which would turn positive. Therefore, we can ignore the 2nd part of the limit and focus on the first:
$\displaystyle \begin{aligned}\lim_{x \to -\infty} (-7x^5 + x^3) & = -7(- \infty)^5 + (- \infty)^3 \\& = -7(- \infty)^5 \\& = -7(- \infty) \\& = 7(\infty) \\& = \boxed{\infty} \\\end{aligned}$

∴ we have found the limit to equal infinity.

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Learn more about limits: brainly.com/question/27438198

Learn more about calculus: brainly.com/question/27351658

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

3 0

2 years ago

What is the greatest common factor of 2 16 and 12

Margaret [11]

Step-by-step explanation:

The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.

8 0

3 years ago

Determine the vector equation of movement of a plane that is moving in a straight line passing through the point (10, 5, 6) and

Anton [14]

Answer:

D. r(t) = (10 + 12t, 5 + −34t, 6 + −6t)

Step-by-step explanation:

Hope this helps

7 0

3 years ago

Read 2 more answers

Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0

3 years ago

Simplify the following expression: -6x + 4(-x - 3)

ss7ja [257]

Answer:

$- 10x - 12$

Step-by-step explanation:

$- 6x + 4( - x - 3) \\ - 6x - 4x - 12 \\ - 10x - 12 \\ = - 2(5x + 6)$

3 0

3 years ago