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2 years ago

Factor x3 – 7x + 6 completely given that (x - 2) is a factor.

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

4 0

Find one factor

$(x-2)(x^{2} +2x-3)$

Find one factor

$(x-2)(x-1)(x+3)$

$solution:(x-2)(x-1)(x+3)$

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Is this a function? Answer only if you know if you put links I will report

evablogger [386]

Answer:

Step-by-step explanation:

You can tell if something is a function by checking to see if a vertical line will intersect at one spot more than once. If it does, it is not a function.

3 0

3 years ago

Sin(5x+20)

WINSTONCH [101]

Answer:

Yes.

Step-by-step explanation:

Just like normal algebra, you factor our the common factor, in this case, 5.

Thus,

$\sin(5(x + 4))$

4 0

3 years ago

Two companies, A and B, package snack-size bags of cashews. Let X represent the weight of the packages from company A, and let Y

Vitek1552 [10]

The answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is D. Sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

<h3>What does the standard deviation means?</h3>

A standard deviation means the all measure of how dispersed the data is in relation to the mean. It should be noted that low standard deviation means that the data are clustered around the mean, and the high standard deviation means that the data are more spread out.

In this case, the answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is the sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

In conclusion, the correct option is D.

Learn more about standard deviation on:

brainly.com/question/12402189

#SPJ2

8 0

1 year ago

PLEASE HELP!!!!! !!!!!!!!!!!!

valina [46]

Answer:

31.9secs

6,183.3m

Step-by-step explanation:

Given the equation that models the height expressed as;

h(t ) = -4.9t²+313t+269

At the the max g=height, the velocity is zero

dh/dt = 0

dh/dt = -9,8t+313

0 = -9.8t + 313

9.8t = 313

t = 313/9.8

t = 31.94secs

Hence it takes the rocket 31.9secs to reach the max height

Get the max height

Recall that h(t ) = -4.9t²+313t+269

h(31.9) = -4.9(31.9)²+313(31.9)+269

h(31.9) = -4,070.44+9,984.7+269

h(31.9) = 6,183.3m

Hence the maximum height reached is 6,183.3m

3 0

3 years ago

Use implicit differentiation to find the points where the parabola defined by x2−2xy+y2+4x−8y+20=0 has horizontal and vertical t

Komok [63]

Answer:

The parabola has a horizontal tangent line at the point (2,4)

The parabola has a vertical tangent line at the point (1,5)

Step-by-step explanation:

Ir order to perform the implicit differentiation, you have to differentiate with respect to x. Then, you have to use the conditions for horizontal and vertical tangent lines.

-To obtain horizontal tangent lines, the condition is:

$\frac{dy}{dx}=0$ (The slope is zero)

--To obtain vertical tangent lines, the condition is:

$\frac{dy}{dx}=\frac{1}{0}$ (The slope is undefined, therefore the denominator is set to zero)

Derivating respect to x:

$\frac{d(x^{2}-2xy+y^{2}+4x-8y+20)}{dx} = \frac{d(x^{2})}{dx}-2\frac{d(xy)}{dx}+\frac{d(y^{2})}{dx}+4\frac{dx}{dx}-8\frac{dy}{dx}+\frac{d(20)}{dx}$ = $2x -2(y+x\frac{dy}{dx})+2y\frac{dy}{dx}+4-8\frac{dy}{dx}= 0$