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Rufina [12.5K]
3 years ago
9

What is the solution of the inequality... full question is in the photo please help!!!!

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0
It’s C if you download Math-way it will help you with math
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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
3 years ago
2 and 2/3 + 4/5= 40/? + 12/?= ?/? Please i do really need the anwser and i hope you understand how to help!
joja [24]
<span>2 2/3 + 4/5
= 8/3 + 4/5
= 40/15 + 12/15
= 52/15

</span>
8 0
3 years ago
Your answer should be a polynomial in standard form.<br> (X+2)(X+ 3) =
charle [14.2K]

Answer:

X to the second power + 5x + 6

Step-by-step explanation:

distribute (X + 2) and (X + 3)

you should get X to the second power + 3x + 2x + 6

then you add like terms (3x + 2x)

then you should get X to the second power + 5x + 6

8 0
3 years ago
Read 2 more answers
It says I have 13 free answers left and then it says I used them all so I only get 2 free. why?
creativ13 [48]

Answer: That used to happen to me but if you answer peoples questions it doesnt do that anymore because you are helping out

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The sum of scores of ella and Kath in the summative test is not greater than 50. supposed Ella's score is 22 points, what could
Firlakuza [10]

We want to see which could be the possible score of Kath for the given information. We will find the inequality:

K ≤ 33

<h3>Stating what we know:</h3>

The given information is:

  • The sum of the scores is not greater than 55 points
  • Ella's score is 22 points.

<h3>Writing the inequality:</h3>

First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:

K + 22 ≤ 55

This means that the sum of the points is smaller than or equal to 55.

Now we just need to solve this for K, to do this, we subtract 22 in both sides:

K ≤ 55 - 22

K ≤ 33

From this, we can conclude that Kath has at most 33 points.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

7 0
2 years ago
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