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3 years ago

5

Write 2x^3+10x^2+12x in factored form.

2 answers:

Marina CMI [18]3 years ago

7 0

2x³+10x²+12x
First, to simplify, find the greatest common factor of the three terms in the trinomial.
This GCF would be 2x, because that is the GCF that can factor into each of the terms.
2. Divide the terms in the trinomial by your GCF, so in our case we would divide each term by 2x.
After you divide, you should get 2x(x²+5x+6)
2x(x²+5x+6) is your solution.

Bas_tet [7]3 years ago

6 0

This expression is 2x(x+2) (x+3) in factored form.

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Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

<em>This point is on the graph</em>

<em></em>

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

<em>This point is not on the graph</em>

<em></em>

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

<em></em>

<em>This point is not on the graph</em>

<em></em>

<em></em> $(\frac{4}{8},\frac{2}{8})$ <em></em>

<em></em> $x = \frac{4}{8}$ and<em> </em> $y = \frac{2}{8}$ <em></em>

<em>Substitute </em> $\frac{4}{8}$ <em> for x and </em> $\frac{2}{8}$ <em> for y in </em> $y = \frac{1}{2}x$ <em></em>

<em></em> $\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$ <em></em>

<em></em> $\frac{2}{8} = \frac{1 * 4}{8 * 2}$ <em></em>

<em></em> $\frac{2}{8} = \frac{4}{16}$ <em></em>

<em></em> $\frac{1}{4} = \frac{1}{4}$ <em></em>

<em></em>

<em>This point is on the graph</em>

3 0

3 years ago

Find the square roots of the two factors of √36 and multiply them.<br>

PolarNik [594]

Answer:

The square root is 6.

Step-by-step explanation:

4 0

2 years ago

What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 2 x2 + 15?

kirill [66]

Answer:

B

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Help immediately!!!!! What is the average rate

Snezhnost [94]

Answer:

the average rate of change is 4

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

For which values of x will the rational expression below be undefined? Check

ololo11 [35]

Answer:

-2

Step-by-step explanation:

For the given expression to be undefined, this means that the denominator must be zero.

From the given expression, the denominator is x + 2

Equating this to zero;

x+2 = 0

Subtract 2 from both sides

x+2-2 = 0 -2

x = -2

Hence the value of x that makes it undefined is -2

3 0

3 years ago