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1 year ago

Which of the following options best describes the solution process and solution(s) for the quadratic equation?

Mathematics

1 answer:

Semenov [28]1 year ago

5 0

Answer:

Option c)

Step-by-step explanation:

Given quadratic equation is

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

$-2x^2+3x+4-7=0$

$-2x^2+3x-3=0$

Multiply the above equation into (-) we get,

$2x^2-3x+3=0$

To find the solution of quadratic equation $ax^2+bx+c=0$ is

[tex]x=-b

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Janie uses a reflecting tool to reflect Point B onto Point A. Which of the following statements are true about the line of refle

ExtremeBDS [4]

According to the question's statement you can see we have to choose more than one true statements. So,
1. Reflection line is perpendicular to AB ===>TRUE
2. Reflection line does not bisect AB. ===> FALSE
3. Reflection line passes through the midpoint of BA. ====> TRUE
4. Reflection line forms two equal angles with segment AB. ====>TRUE

8 0

1 year ago

What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot + 2 x squared StartRoot 6

makvit [3.9K]

Answer:

Step-by-step explanation:

(4x√5x^2 +2x^2√6)^2

remove the last ^2 by multiplying the parenthesis by each other:

(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)

use FOIL & distribute :

4x√5x(4x√5x +2x^2√6) +2x^2√6(4x√5x +2x^2√6)

apply the distributive property once more:

4x^2√5(4x^2√5)+ 4x^2√5(2x^2√6) + (2x^2√6(4x^2√5) +2x^2√6(2x^2√6)

remove parenthesis and combine like terms to get:

104x^4+16x^4√30

answer is D

4 0

1 year ago

Read 2 more answers

A probability calculator is required on this problem; answer to six decimal places. Suppose we will spin the wheel pictured 400

KiRa [710]

Answer:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=400, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=400*0.2=80 \geq 10$

$n(1-p)=400*(1-0.2)=320 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=400*0.2=80$

$\sigma=\sqrt{np(1-p)}=\sqrt{400*0.2(1-0.2)}=8$

So then we can approximate the random variable as $X \sim N(\mu = 80, \sigma = 8)$

And we want this probability:

$P(90< X< 110)$

We can use the z score formula given by:

$z = \frac{x -\mu}{\sigma}$

And replacing we got:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

8 0

2 years ago

Wayne Inc., a health insurance company, pays clerks an incentive based on the average amount of work completed per hour. Wayne p

yulyashka [42]

Answer: Straight piecework plan

Step-by-step explanation:

The Straight piecework plan is a type of incentive system in which the rate per unit output is constant and fixed at a specific value. And the total earnings of a worker is calculated by multiplying the value of its total output by the rate per unit output.

In the case above the rate per unit invoice processed is fixed, so employees are paid based on the number of invoice processed per hour which makes it a Straight piecework plan system.

5 0

1 year ago

you ride your bike to a store, 4 miles away, to pick up things for dinner. when there is no wind, you ride at 10 mi/h. today you

Tresset [83]

4 miles= (10-s) x 1hr. S could stand for the speed of the wind, since it is taking away from the typical speed of the bike.

3 0

1 year ago