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2 years ago

Solve for X 5x-2x-1/2=3x+x-2/2

Mathematics

1 answer:

navik [9.2K]2 years ago

3 0

Answer:

(2x-2/2) = (15-6x)

2x-1 = 15 -6x

2x+6x = 15 +1

8x = 16

8x/8 = 16 /8

x = 2 there

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2 years ago

For which inequality is {x | x R, x > 6} the solution set?

CaHeK987 [17]

Answer:

Step-by-step explanation:

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2 years ago

Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

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2 years ago

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IrinaK [193]

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2 years ago

PLEASE HELP ME!! A section of a highway is constructed with a 23% grade. What angle does the highway make with a horizontal line

lesantik [10]

Answer: 77.05

Step-by-step explanation: 1) Draw a right triangle with these measures:

angle with the horizontal: 6 degress

horizontal segment: 5

height: x

2) Definition of tangent : tan(6°) = opposite leg / adjacent leg = x / 5 =>

3) Solve for

x = 5tan(6°) = 77.05

4 0

2 years ago

Solve for X 5x-2x-1/2=3x+x-2/2​

Solve for X 5x-2x-1/2=3x+x-2/2