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3 years ago

15

Factor the polynomial: 3x2(x -4) - 5(x - 4)

1 answer:

DIA [1.3K]3 years ago

7 0

B. (x-4)(3x2-5)
your welcome

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Anthony was asked to replace the femathnce around his aunt's rectangular garden. He measured two of the side lengths to be 9 fee

melomori [17]

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3 years ago

Where does the graph of the line 3x-4y=12 intersect at the y-axis

yarga [219]

Answer:

This line intersects the y-axis at (0, -3)

Step-by-step explanation:

<u>Step 1: Set x to 0 to find where the y-int is </u>

$3(0) - 4y = 12$

$-4y / -4 = 12 / -4$

$y = -3$

Answer: This line intersects the y-axis at (0, -3)

8 0

3 years ago

Solve the following equation by factoring:9x^2-3x-2=0

olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

$x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}$

Step-by-step explanation:

Original quadratic equation is $9x^{2}-3x-2=0$

Divide both sides by 9:

$x^{2} - \frac{x}{3} - \frac{2}{9}=0$

Add $\frac{2}{9}$ to both sides to get rid of the constant on the LHS

$x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}$ ==> $x^{2} - \frac{x}{3}=\frac{2}{9}$

Add $\frac{1}{36}$ to both sides

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}$

This simplifies to

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}$

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = $\frac{1}{6}\right)$ we can see that

$\left(x - \frac{1}{6}\right)^2$ = $x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}$

So

$\left(x - \frac{1}{6}\right)^2=\frac{1}{4}$

Taking square roots on both sides

$\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}$

So the two roots or solutions of the equation are

$x - \frac{1}{6}=-\sqrt{\frac{1}{4}}$ and $x - \frac{1}{6}=\sqrt{\frac{1}{4}}$

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

So the two roots are

$x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}$

and

$x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}$

7 0

2 years ago

6(2 + x) = 12 + 6x illustrates the

creativ13 [48]

Answer:

Distributive Property

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If you deposit $5,000 into an account that pays 4.75% annual interest how much money will be in the account after 7 years if the

victus00 [196]

$6662.50

4.75% = $237.50
$237.50 x 7 = $1662.50

$5000 + $1662.50 = $6662.50

Answer = $6,662.50

4 0

3 years ago