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2 years ago

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

Mathematics

2 answers:

andre [41]2 years ago

4 0

Answer:

Step-by-step explanation:

notka56 [123]2 years ago

3 0

Answer:

The root of the polynomial equation x(x-2)(x+3)=18 is x=3

Step-by-step explanation:

x(x-2)(x+3)=18

Dividing both sides of the equation by x:

x(x-2)(x+3)/x=18/x

(x-2)(x+3)=18/x

We can use this system of equations:

(1) y=(x-2)(x+3)

(2) y=18/x

And using a graphing calculator we get:

x=3, y=6 → Point=(x,y)=(3,6)

Answer: The root of the polynomial equation x(x-2)(x+3)=18 is x=3

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What is the value of x three times less than the value of 45−10x?

Mekhanik [1.2K]

This is the concept of algebra. The value of x three times less than the value of 45-10x will be as follows;
The value of x three times is:
3x
subtracting 45-10x we get:
3x-(45-10x)
3x+10x-45
13x-45
the answer is:
13x-45

6 0

3 years ago

21. Randy owns a computer store. In 1990, he sold 150 monitors. In 2000, he sold 900

lutik1710 [3]

Answer:

$y=75x+150$

Step-by-step explanation:

Let $y$ represent the number of monitors sold.

Given:

$x$ is the number of years since 1990.

So, for the year 1990, $x=0$ .

For the year 2000, 10 years passed. So, $x=10$ .

Now, monitors sold in 1990 are 150. So, at $x=0,y=150$

Monitors sold in 2000 are 900. So, at $x=10,y=900$

Thus, the two points are $(0,150)$ and $(10,900)$ .

The slope of a line with points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

For the points $(0,150)$ and $(10,900)$ , the slope is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75$

Now, the y-intercept is the point where $x=0$ . So, the point $(0,150)$ has $x$ value as 0.

So, the y-intercept is 150.

Equation of a line in slope-intercept form is given as:

$y=mx+b$

Where, $m$ is the slope and $b$ is the y intercept.

Here, $m=75$ and $b=150$ .

Therefore, the equation that represents the above data is given as:

$y=75x+150$

7 0

2 years ago

Trina invited 60 people to her party and 42 said they would attend. What percent of people said they were NOT able to attend? Pl

Llana [10]

1. simplify 42/60 to 7/10 (42/60 divided by 2 is 21/30, 21/30 divided by 3 is 7/10)
2. if 10 x 10 = 100 than 7 x 10 = 70 so that would make it 70/100 which is 70%
so 70% is the answer

Hope this helps ;)
Please don't forget to mark as brainliest answer!

5 0

2 years ago

Read 2 more answers

X + y = 152, 8.5x + 12y = 1,656 How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0

2 years ago

Which term is not a like term? 3x 4y 7x x

Katena32 [7]

Answer:

4y is not a like term.

Step-by-step explanation:

Unlike the other variables, 4y has a y instead of an x. The numbers with an x variable can all be combined, but 4y can't be combined with an x variable.

6 0

2 years ago