Polynomials with the same roots can have different graphs. True? Or false?

1 answer:

8 0

True.

E.g. (x-1)(x-2) versus 100(x-1)(x-2)

They have same roots of x= 1 or 2, but the second equation is 100 times stretching of the first one vertically

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b)suppose only 1 in every 1,000 stars in the observable universe has a planetary system. how many planetary system are there? Fi

rosijanka [135]

Answer:

Please read below :)

Step-by-step explanation:

so you have 1 in a 1000, or 1/1000. But you're missing a part of the answer. If you post the whole answer I can give you the correct answer :)

5 0

2 years ago

Which of the following graphs shows the<br> solution set to 2x < 6 and 3x + 2 ><br> -4?

Ilya [14]

Answer:

The third picture

Step-by-step explanation:

Solve for x in both equations

2x<6

Divide both sides by 2:

x<3

3x+2>-4

Subtract 2 from both sides:

3x>-6

Divide both sides by 3:

x>-2

There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.

When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.

The circles are not filled in because the symbol is < and > rather than $\leq and \geq$ . When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.