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2 years ago

Which system of equations can you use to find the roots of the equation? x3 – 10x = x2 – 6

Mathematics

2 answers:

Alona [7]2 years ago

4 0

Answer: Zoom out on the graph, -3,0.59,3.41

Second question: Use the graphing calculator to graph the system. In order to view all of the solutions of this system, : (Zoom out on the graph)

Third question: From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.: (-3,0.59,3.41)

Step-by-step explanation: Correct answers from edg

vivado [14]2 years ago

3 0

$\bf \stackrel{y}{x^3-10x}=\stackrel{y}{x^2-6}\implies \begin{cases} y=x^3-10x\\ y=x^2-6 \end{cases}$

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It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry a

Sphinxa [80]

Answer:

(a) P(B) = 0.008, (b) P(A∩B) = 0, (c) Yes, A and B are mutually exclusive events, (d) P(A∪B)=0.948, (e) 0.948, (f) 0.06

Step-by-step explanation:

We have three different posibilities

A: fill to specification

B: underfill

C: overfill

in probability the sum of the different events which are mutually exclusive should sum to 1, so, we should have

(a) P(B) = 1 - P(A)-P(C) = 1-0.940-0.052=0.008

(b) P(A∩B)=probability that the machine fill to specification and underfill = 0 because a machine can't fill to specification and underfill at the same time

(c) Yes, A and B are mutually exclusive events, because a machine can't fill to specification and underfill at the same time

(d) Because A and B are mutually exclusive events we should have that

P(A∪B)=P(A)+P(B)=0.940+0.008=0.948

(e) The probability that the machine does not overfill is the same that the probability that the machine fill to specification plus the probability that the machine underfill, i.e, the probability that the machine does not overfill is P(A)+P(B)=0.948, because does not overfill is equivalent either to fill to specification or to underfill.

(f) The probability that the machine either overfill or underfills is

P(C∪B)=P(C)+P(B)=0.052+0.008=0.06 because C and B are mutually exclusive events.

5 0

2 years ago

What is the future value of $845 a year for seven years at an interest rate of 11.3 percent? $6,683.95 $6,075.69 $8,343.51 $8,00

k0ka [10]

The future value of cash whose initial value is $845, at the rate of 11.3% for 7 years will be calculated using the compound interest rate, that is:
A=p(1+r/100)^n
where:
A=future amount
r=rate=11.3%=0.113
time=7 years
thus the future value of our cash will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82

7 0

2 years ago

Read 2 more answers

The grades on a history midterm at Gardner Bullis are roughly symmetric with μ = 69 μ=69mu, equals, 69 and σ = 3.5 σ=3.5sigma, e

katrin2010 [14]

Answer:

-1.14

Step-by-step explanation:

The given information in statement is

mean=μ=69

standard deviation=σ=3.5

Let X be the Ishaan's exam score

X=65

The Z score can be computed as

$z=\frac{x-mean}{standard deviation}$

$z=\frac{65-69}{3.5}$

z=-1.1429

z=-1.14 (rounded to two decimal places).

Thus, the computed z-score for Ishaan's exam grade is -1.14.

4 0

2 years ago

The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. This

nika2105 [10]

Answer:

Step-by-step explanation:

a)/Let x represent the amount of money earned by the World Issues club for all their fundraising activities this year.

Let y represent the revenue generated for the foundation.

b) The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. Therefore, an equation that will determine the amount of money the foundation will receive is

60/100 × x = y

0.6x = y

5 0

2 years ago

A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inche

Mademuasel [1]

Answer:

The correct option is

$A. \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3$

Step-by-step explanation:

The parameters given are;

The length of the string = 10 inches

The speed or rate of travel of the wave = c inches per millisecond

The position on the string from the left-most end = x

The time duration of motion of the vibration to reach x= 0.3 milliseconds

The distance covered = Speed × Time = c×0.3

Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;

The location on the string where it is plucked = center of the string = 10/2 = 5 inches

Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches

Therefore, on the left side of the center of the string we have;

The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)

On the right side of the center, the distance from x is -(5 - x) = x - 5

Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is $\dfrac{1}{c} \times \left | x - 5 \right | = 0.3$ or $\left | x - 5 \right | = 0.3 \times c$ which gives the correct option as A

8 0

2 years ago