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4 years ago

2(x−3)=8(x−6) what is the answer please take your time and get it correct

Mathematics

1 answer:

Taya2010 [7]4 years ago

3 0

Answer: x=7

Step-by-step explanation: First to get rid of the parentheses we must multiply everything times 2 in the parentheses. Then we must also do the same with the other parentheses multiply everything by 8.

2(x−3)=8(x−6)

2x-6=8x-48

Then we subtract 8x from both sides.

2x-6=8x-48

-6x-6=-48

Then add 6 to both sides

-6x-6=-48

-6x=-42

Finally divide both sides -6

-6x/-6=-42/-6

x=7

Hope this helps!

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What must be a factor of the polynomial function fx) graphed on the coordinate plane below?

Reptile [31]

See in the explanation

<h2>Explanation:</h2>

Hello! Recall that you need to write complete questions in order to get good and precise answers. However, I'll try to explain this problem in a general way. The definition of polynomial functions states:

$A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq 0$

Suppose we have the following polynomial function:

$f(x)=x^3+x^2-8x-12$

If $(x-3)$ is a factor of this polynomial function, we can write $f(x)$ as:

$f(x)=\left(ax^2+bx+c\right)\left(x-3\right)$

In whose case:

$f(3)=0$

Evaluating $x=3$

$f(x)=x^3+x^2-8x-12 \\ \\ f(3)=3^3+3^2-8(3)-12 \\ \\ f(3)=27+9-24-12 \\ \\ f(3)=32-32 \\ \\ f(3)=0$

So in conclusion:

$(x-3) \ is \ a \ factor \ of \ f(x)=x^3+x^2-8x-12$

The graph is shown below and is consistent with our conclusion.

<h2>Learn more:</h2>

Complex zeros: brainly.com/question/13728954

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8 0

3 years ago

(-4,6); slope = -3/4

Ostrovityanka [42]

Answer:

y = - $\frac{3}{4}$ x + 3

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - $\frac{3}{4}$ , thus

y = - $\frac{3}{4}$ x + c ← is the partial equation

To find c substitute (- 4, 6) into the partial equation

6 = 3 + c ⇒ c = 6 - 3 = 3

y = - $\frac{3}{4}$ x + 3 ← equation of line

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3 years ago

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lina2011 [118]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Leno4ka [110]

<u>Let's consider the facts at hand</u>:

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Hope that helps!

<em>Definitions of Theorem I used:</em>

<u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
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2 years ago