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dem82 [27]
2 years ago
7

Which expression represent the product of x3 + 2x - 1 and x4 - x3 + 3

Mathematics
1 answer:
Alborosie2 years ago
7 0

Answer:

x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.

Step-by-step explanation:

(x3 + 2x - 1)  (x4 - x3 + 3)

= x^7 - x^6 + 3x^3 + 2x^6 - 2x^4 + 6x - x^4 + x^3 - 3

= x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.

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If the mean is 7, what is the total amount?
tatuchka [14]

Answer:

mean if 7

Step-by-step explanation:

the mean is 7

3 0
3 years ago
Consider a system with one component that is subject to failure, and suppose that we have 115 copies of the component. Suppose f
castortr0y [4]

Answer:

Step-by-step explanation:

From the given information:

the mean (\mu) = 115 \times 20

= 2300

Standard deviation = 20 \times \sqrt{115}

Standard deviation (SD) = 214.4761

TO find:

a) P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})

P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})

P(x > 3500)= P(Z > \dfrac{1200}{214.4761})

P(x > 3500)= P(Z >5.595)

From the Z-table, since 5.595 is > 3.999

P(x > 3500)=1-0.9999

P(x > 3500) = 0.0001

b)

Here, the replacement time for the mean (\mu) = \dfrac{0+0.5}{2}

= 0.25

Replacement time for the Standard deviation \sigma = \dfrac{0.5-0}{\sqrt{12}}

\sigma = 0.1443

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = \sqrt{(115\times 20^2) +(114\times (0.1443)^2)}

= \sqrt{(115\times 400) +(114\times 0.02082249}

= \sqrt{(46000) +2.37376386}

= \sqrt{(46000) +(2.37376386)}

= \sqrt{46002.374}

= 214.482

Now; the required probability:

P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})

P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})

P(x > 4125) = P(Z >8.376)

P(x > 4125) =1-  P(Z

From the Z-table, since 8.376 is > 3.999

P(x > 4125) = 1 - 0.9999

P(x > 4125) = 0.0001

7 0
2 years ago
Solve x − 2y = 3 for x.
wolverine [178]

Answer:

x=2y+3

Step-by-step explanation:

So we have the equation:

x-2y=3

And we want to solve for x. In other words, we want to isolate the x-variable.

So, add 2y to both sides of the equation.

(x-2y)+2y=(3)+2y

On the left, the 2y cancel. Simplify the right:

x=2y+3

And we're done!

5 0
3 years ago
Read 2 more answers
I have two story problems.
vekshin1
Let lucy = l & neighbour= n
l = n +4
l + n= 14 years
substitute l with n +4
(n +4) + n = 14
2n +4 =14
n=5 years
l = n + 4 lets substitute n with 5
l = 5 + 4
lucy = 9 years

7 0
3 years ago
Determine which lines, if any, are parallel or perpendicular. Explain.
Orlov [11]

Answer:

line a and b are parallel, there is no perpendicular lines

Step-by-step explanation:

Looking at the slope of each line, you can identify whether the lines are parallel, perpendicularlar, or neither.

When the slopes are the same, they are parallel.

When the slopes have opposite sign and numerator and denominator flipped, they are perpendicular. Ex. \frac{a}{b} and -\frac{b}{a} are perpendicular slopes.

Finding slope is using the formula: \frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

Line a has slope  \frac{3-4}{4-0} = -\frac{1}{4}

Line b also has slope -\frac{1}{4}

Line c has slope 2

Since slope of line a and b are same, they are parallel.

Line c is not perpendicular to line a and b because the slope should have opposite sign and numerator and denominator flipped, which is 4 not 2.

4 0
3 years ago
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