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3 years ago

Which equation is best represented by the graph above (x+1)(x-3)(x+2). please explain why

Mathematics

1 answer:

Nat2105 [25]3 years ago

7 0

<h3>Answer:</h3>

y = (x +2)(x -1)(x -3) . . . . or . . . . y = x³ -2x² -5x +6

<h3>Step-by-step explanation:</h3>

The graph shows y=0 at x=-2, x=1, and x=3. These are called the "zeros" or "roots" of the function, because the value of the function is zero there.

When "a" is a zero of a polynomial function, (x -a) is a factor. This means the factors of the graphed function are (x -(-2)), (x -1) and (x -3). The function can be written as the product of these factors:

... y = (x +2)(x -1)(x -3) . . . . . the equation represented by the graph

Or, the product can be multiplied out

... y = (x +2)(x² -4x +3)

... y = x³ -2x² -5x +6 . . . . . the equation represented by the graph

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Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days.

baherus [9]

Julie would reach her goal first. Julie would reach her goal in approximately 316 days while it would take Mary approximately 333 days to reach it.

I know this because the steps to solve the problem are:

1.) 1,000/12 = 83.333 (to find how many days it would take her everyday)

2.) 83.333x4 = 333 (multiplying the answer by four makes it every four days)

3.) determine that it takes Mary 333 days

4.) 1,000/19 = 52.631 (just like step 1 but with different numbers)

5.) 52.631x6 = 316 (just like in step 2 but different numbers)

6.) determine it takes Julie 316 days

7.) 316 < 333 (takes Julie less time)

6 0

3 years ago

Read 2 more answers

Please help, thanks if you do. (WILL MARK)

Likurg_2 [28]

Answer: n-6p^2 + 2np

Hope this helps!

Step-by-step explanation:

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3 years ago

Read 2 more answers

A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an

pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = $\frac{18}{37}$

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = $\frac{10}{37}$

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = $\frac{19}{37}$

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = $\frac{18}{37}+\frac{19}{37}-\frac{10}{37}$

∴ P(small or green) = $\frac{27}{37}$ = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

#Learnwithbrainly

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3 years ago

Explain in your own words why (x + y)2 ≠ x2 + y2. Provide a numerical example to illustrate.

bekas [8.4K]

Im not sure if you wrote this wrong because (x+y)2 does equal x2+y2. An example would be if x equals 3 and y equals 4 (3+4)2=(3)2+(4)2 (7)2=6+8 14=14.

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3 years ago

Please please please can someone help me :)

disa [49]

Answer:

Step-by-step explanation:

now the equation looks like

3-4Cos(x)=y

hmmm i'm wondering if you can figure it out from here??? it's the same as the other two.. plug in that $\sqrt{2}$ /2 .. can you? :)

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3 years ago