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aliina [53]
3 years ago
13

The equation of the quadratic function represented by the graph y=a(x-3)-1 what is the value of a

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0
The value of "a" can be anything you want it to be. Usually, it is chosen to make the function meet some additional constraint, such as going through a particular point. You have not provided any such constraint, so there is no rationale for choosing any particular value of "a".

Let a=2, if you like.
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Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two
Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is \frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, 3x + 27x^2=2 and we solve for x

3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

9x-2=0\\9x=2\\x=\frac{2}{9}

3x+1=0\\3x=-1\\x=-\frac{1}{3}

The solutions are:

x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is

\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

We can check our work with the graph of the two polynomials.

4 0
4 years ago
Which of the following is the correct way to read the decimal 0.003?
stealth61 [152]
Thousandths ok ok ok ok
5 0
4 years ago
Read 2 more answers
Based upon past experience, Jessie expects to accidentally overdraft the account about 3 times per year, unfortunately all in th
lorasvet [3.4K]

Answer:

The correct answer is option A.

A. Good Bank will have the least amount in fees per year.

Step-by-step explanation:

Better Bank has a monthly fee of $5 which is lower than Great Bank with a monthly fee of $6, according to the table. Good Bank also allows ATMs to be used twice free of charge, so Jessie would pay only twice a month. These are basically the important features for Jessie, because she won't use checks and other things.

4 0
4 years ago
Read 2 more answers
If the diameter of a circle is 5 centimeters, how long is the arc sub tended by an angle measuring 60 degrees?
jenyasd209 [6]

Answer:

3/5pi

Step-by-step explanation:

The formula of getting the arc length is

arc length = angle * pi / 180 * r

arc length = 60 * pi / 180 * 5

arc length = 300 * pi / 180

arc length = 5pi / 3

7 0
3 years ago
SOS!!! I NEED HELP ASAP!!! PLS PLS PLS PLS PLSSSSSS TYSM TO THOSE WHO HELP ME (I will crown you.) Luv yall
andrew11 [14]

Answer:

i think its d

Step-by-step explanation:

i might be wrong tho

7 0
3 years ago
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