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Ede4ka [16]
2 years ago
8

For the given equation find the value a, b, and c, determine the direction in which the parabola opens and determine the y-inter

cept. Decide which table best illustrates these values for the equation:
y=x^2-6x

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
7 0

Answer: Table A

Step-by-step explanation:

The coefficient of x^2 is 1, the coefficient of x is -6, and the constant is 0. This means that a = 1, b = -6, and c = 0.

  • This eliminates tables B and C.

Now, we need to determine if the graph opens up or down to differentiate between A and B. Since the coefficient of x^2 is positive, the graph opens up.

  • Thus the answer is <u>Table A.</u>
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Write the equation of the line that is parallel to the line and through the given point y=-2x+1 point (0,5)
marysya [2.9K]

Answer:

y = -2x+5

Step-by-step explanation:

y = -2x+1 is in the form y= mx+b where m is the slope and b is the y intercept

-2 is the slope

Parallel lines have the same slope so our new line will have the same slope

y = -2x+b

The point given is the y intercept (value when x is zero)

b = 5

y = -2x+5

5 0
2 years ago
Hey what's the answer ?<br><img src="https://tex.z-dn.net/?f=%28%20%7By%7D%5E%7B2%7D%20%20%2B%20%20%5Cfrac%7B5%7D%7B7%7D%20%29%2
3241004551 [841]

Answer: y^4 + \frac{-73}{35}y^2- 2

Step-by-step explanation:

Use FOIL:

y^4 + \frac{-14}{5}y^2 + \frac{5}{7}y^2 + \frac{-70}{35}

Make  \frac{-14}{5}y^2 and \frac{5}{7}y^2 have the same numerator:

\frac{-14*7}{5*7}y^2 =\frac{-98}{35}y^2

\frac{5*5}{7*5} y^2=\frac{25}{35} y^2

Then add like terms and simplify:

y^4 + \frac{-98}{35}y^2 + \frac{25}{35} y^2 + \frac{-70}{35}

y^4 + \frac{-73}{35}y^2- 2

7 0
3 years ago
Read 2 more answers
An airplane travels 640 miles from Topeka to Houston in 3.2 hours, going against the wind. The return trip is with the wind, and
Mandarinka [93]

The  airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:

(a - b)3.2 = 640

a - b = 200   (1)

Also:

(a + b)2 = 640

a + b = 320    (2)

The solution to equation 1 and 2 is:

a = 260, b = 60

The  airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
1 year ago
What would be an equation and answer to the equation for The product of 6 and 3 more than k is 48
My name is Ann [436]
You know what product means right? (+,-,×,÷)
7 0
3 years ago
Laser scanning for fish volume estimation. engineers design tanks for rearing commercial fish to minimize both the use of natura
AVprozaik [17]

Answer:

The 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8  

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=240 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=15 represent the sample standard deviation

n=4 represent the sample size  

Part a

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=4-1=3

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,3)".And we see that t_{\alpha/2}=5.84

Now we have everything in order to replace into formula (1):

240-5.84\frac{15}{\sqrt{4}}=196.2    

240+5.84\frac{15}{\sqrt{4}}=283.8

So on this case the 99% confidence interval would be given by (196.2;283.8)    

We are 99% condident that the true mean is between 196.2 and 283.8

What assumption about the data is necessary for the inference derived from the analysis to be valid?

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.

4 0
3 years ago
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