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Zina [86]
3 years ago
12

What is the root of the polynomial equation x(x-2)(x+3) = 18? Use a graphing calculator and a system of equations.

Mathematics
1 answer:
Trava [24]3 years ago
3 0

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:

  x(x -2)(x +3) -18 = 0

The attached shows x = 3 is the only real solution.

_____

We're not sure what "system of equations" is intended. Perhaps it is ...

  y = 18

  y = x(x -2)(x +3)

To create the expression we graphed, we effectively subtracted the first equation from the second.

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A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0
4 years ago
Your savings account pays 1.75% interest per year. You make a $500 deposit. How much interest does the account earn in the first
GaryK [48]
1,75% = 0,0175

per month: 0,0175/12 = 0,00145833

500*0,00145833 = 0,73$ interest
8 0
3 years ago
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Answer: 10

Step-by-step explanation:

count the dots from number 2 and below

6 0
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Write the equation of a line parallel to the line 2x + 3y = 5 and passes through the point (9, -3)
madreJ [45]
Paralell is smae slope so it is
2x+3y=c
find c

given
(9,-3)
x=9
y=-3
evaluate to find the constant, c

2(9)+3(-3)=c
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9=c

the equation is 2x+3y=9
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3 years ago
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blsea [12.9K]

Answer:

I really don't know but this is a bad guess 11 inches but don't hold me accountable

3 0
3 years ago
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