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Step2247 [10]
2 years ago
10

A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Id

entify which form would be more helpful if you needed to do each task listed below and explain why
Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
6 0
Below are suppose the be the questions:

a. factor the equation 
<span>b. graph the parabola </span>
<span>c. identify the vertex minimum or maximum of the parabola </span>
<span>d. solve the equation using the quadratic formula
</span>
below are the answers:

Vertex form is most helpful for all of these tasks. 
<span>Let </span>
<span>.. f(x) = a(x -h) +k ... the function written in vertex form. </span>

<span>a) Factor: </span>
<span>.. (x -h +√(-k/a)) * (x -h -√(-k/a)) </span>

<span>b) Graph: </span>
<span>.. It is a graph of y=x^2 with the vertex translated to (h, k) and vertically stretched by a factor of "a". </span>

<span>c) Vertex and Extreme: </span>
<span>.. The vertex is (h, k). It is a maximum if "a" is negative; a minimum otherwise. </span>

<span>d) Solutions: </span>
<span>.. The quadratic formula is based on the notion of completing the square. In vertex form, the square is already completed, so the roots are </span>
<span>.. x = h ± √(-k/a)</span>
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Is this a direct variation problem
Llana [10]
Yes and for a. You can just put y=x [y=1x is bascually the same but just the 1 isnt needed]
6 0
3 years ago
Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.

Hence, 6 dice are rolled at once for this experiment.

Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:

The number of dots that show on the upward face of the rolled dice.

The values that X may take on are:

1  2  3  4  5  6

On average, how many dice would you expect to show a one?

One die.

How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.

Find the probability that all six dice show a dot in just one toss.

Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.

1/6 divided by 6  = 0.167/6  = 0.028 approximated to three decimal places.

This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!

Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?

The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.

Kudos!

7 0
3 years ago
Someone please help me on this question ?:)
katrin2010 [14]

Answer: The TV is 48 inches wide.

Step-by-step explanation: To find the solution to this equation we must use the Pythagorean theorem. The Py. Theo. is basically the formula :

a^2 + b^2 = c^2    You say this as "A squared plus b squared equals c squared"

To use this formula you must plug in the given values of a and b, to find c. A and b represent the two bases of the triangle, while c is the hypotenuse. In this equation we already have the value of c and a. We need to find b, but in order to do that we use a different formula. We use : c^2 - a^2 = b^2

See :

52^2 - 20^2 = b^2       *The ^2 means "to the power of" aka an exponent*

2704 - 400 = b^2     *When dealing with ^2, all you do is multiply the number by itself*

2304 = b^2      *Next, we find the square root of our current number.*

48 = b    

*Another way to solve this equation is to memorize all the Pythagorean Triples. With that knowledge, you wont even need to use the formula because you will already know all three values. I hope this helped you understand :)



3 0
3 years ago
What is the coordinates of {2, 1} and {2, 4}?
blondinia [14]
Xm=(2+2)/2=2 Ym=(1+4)/2=2.5 (2,2.5)
7 0
3 years ago
OFFERING 50+ POINTS
nadezda [96]

Answer:

Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
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