If 2x^2 + 6x = 36, what are the possible values of x ?

Answers

Answer 1

Answer:

The possible values of $x$ for $2\cdot x^(2)+6\cdot x = 36$ are $x_(1) = 3$ and $x_(2) = -6$ .

The expression $2\cdot x^(2)+6\cdot x = 36$ is equivalent to the expression $2\cdot x^(2)+6\cdot x -36 = 0$ , which represents a second orderpolynomial, that is, a polynomial of the form:

$y = a\cdot x^(2)+b\cdot x + c$ (1)

Where $a,\,b,\,c$ are coefficients.

The possible values of x represents all possible roots of x, which are found analytically by the quadratic formula:

$x = \frac{-b\pm \sqrt{b^(2)-4\cdot a\cdot c}}{2\cdot a}$ (2)

If we know that $a = 2$ , $b = 6$ and $c = -36$ , then all possible values of $x$ are, respectively:

$x_(1) = 3$ , $x_(2) = -6$

The possible values of $x$ for $2\cdot x^(2)+6\cdot x = 36$ are $x_(1) = 3$ and $x_(2) = -6$ .

We kindly invite to check this question on second order polynomials: brainly.com/question/24356198

Answer 2

Answer:

Answer:

f(x) = 2(x + 3)(x - 6)

Step-by-step explanation:

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The component of a along b is root 3 times that of the component of b along a. Then, is a : b?

Answers

Answer:

$√(3) :1$

Step-by-step explanation:

Given:

$\vec{a}_{\vec{b}}=√(3)* \vec{b}_{\vec{a}}$

$|\vec{a}|cos\theta=√(3) *|\vec{b}|cos\theta$

$|\vec{a}|=√(3) *|\vec{b}|$

$|\vec{a}|:|\vec{b}|=√(3) : 1$

Simplify -(-2a + 13) + (-9a - 2) - (-7a - 3).12
-12
14a - 12
14a - (-12)

Answers

Hi there

-(-2a+13)+(-9-2)-(-7a-3)

-(-2a+13)-9a-2-(-7a-3)

Distribute the negative sign

-(-2a+13)-9a-2+-1(-7a-3)

-(-2a+13)+-9a+-2+-1(-7a)+(-1)(-3)

-(-2a+13)+-9a+-2+7a+3

Distribute

2a+-13+-9a+-2+7a+3

Combine like terms

2a+-13+-9a+-2+7a+3

(2a+-9a+7a)+(-13+-2+3)

=-12

Any questions ?

I hope that's help !

Answer:

-12

Step-by-step explanation:

Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?

Answers

standard form, I assume is ay^2+by+c
so expand this stuff
-3(y+2)^2-5+6y
do exponent first
(y+2)^2=(y+2)(y+2)=y²+2y+2y+4=y²+4y+4
now

-3(y²+4y+4)-5+6y
multiply/distribute
-3y²-12y-12-5+6y
regroup like terms
-3y²-12y+6y-12-5
-3y²-6y-17
that is standard form

The simplified product in standard form is $-3y^2 -6y -17$

Given the following equation:

$-3(y + 2)^2 - 5 + 6y$

To find the simplified product in standard form:

A quadratic equation is a mathematical expression that one of its variables is to the degree of 2 and as such, it has two roots.

In Mathematics, the standard form of a quadratic equation is given by;

$ax^2 + bx + c = 0$

Simplifying the given mathematical equation, we have;

$-3(y + 2)^2 - 5 + 6y\n\n-3(y + 2)(y+2) - 5 + 6y\n\n-3(y^2 + 2y +2y+4) -5 + 6y\n\n-3y^2 -6y -6y-12-5+6y\n\n-3y^2 -12y -17+6y\n\n-3y^2 -6y -17$

Solve: The quantity 3 x minus 15 divided by 2 = 4x11

6

−3

−15

Answers

−3

(3x - 15) / 2 = 4x
3x - 15 = 8x
-15 = 5x
x=-3

Final answer:

To solve the equation (3x - 15) / 2 = 4x, we start by multiplying both sides by 2. Then, we subtract 3x from both sides. Finally, we divide both sides by 5 to find that x = -3.

Explanation:

Your question is to solve the equation (3x - 15) / 2 = 4x. We can start solving this equation by following steps:

First, multiply both sides of the equation by 2 to get rid of the denominator. This will give us the equation: 3x - 15 = 8x.
Second, subtract 3x from both sides to gather the x terms on one side of the equation. This will result in: -15 = 8x - 3x, which simplifies to -15 = 5x.
Finally, divide both sides of the equation by 5. This will yield the solution: x = -15 / 5, which simplifies to x = -3.

So, the solution to the equation is x = -3.

Learn more about Solving Equations here:

brainly.com/question/18322830

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The Line Of Symmetry Divides A Design So That Every Point On One Side Of The Line _____ A Point On The Other Side Of It. A. Coincides With B. Is Equal To C. Is Rotated To D. Becomes

Answers

The Line Of Symmetry Divides A Design So That Every Point On One Side Of The Line coincides with a point on the other side

The correct answer is A. Coincides with

Answer: The answer is A. Coincides with

Step-by-step explanation:

Jason has decided to sell one of his baseball cards. The card is valued at $51.00. The store is only offering Jason $29.00. How much less is Jason being offered for his card than what it is valued at?*

Answers

well, just take the difference, 51-29, and 22 is how much less his card it being valued at. Or you can do 29-55, which would be -22, showing the amount and that it's valued less.

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