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Alex Ar [27]
3 years ago
12

Select and use the most direct method to solve 2x(x + 1.5) = -1. Describe and justify the methods you used to solve the quadrati

c equation
Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Step-by-step explanation:

Given that,

A quadratic equation,

2x(x + 1.5) = -1

We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as ax^2+bx+c=0.

So,

2x^2+3x=-1\\\\2x^2+3x+1=0

Here, a = 2, b = 3 and c = 1

The roots of the given equation can be given by :

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

Putting all the values we get :

x=\dfrac{-b\pm \sqrt{b^2+4ac} }{2a}, \dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-3\pm \sqrt{3^2+4(2)(1)} }{2(2)}, \dfrac{-3\pm \sqrt{3^2-4(2)(1)} }{2(2)}\\\\x=\dfrac{-3+1}{4}, \dfrac{-3-1}{4}\\\\x=-\dfrac{1}{2}, -1

So, the roots of the given equation is -1/2 and -1.

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What is this problem -12=4(x-7)-8x
Fofino [41]

-12=4(x-7)-8x

One solution was found :

                  x = -4

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :


                    -12-(4*(x-7)-8*x)=0


Step by step solution :

Step  1  :

Equation at the end of step  1  :

 -12 -  (4 • (x - 7) -  8x)  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :


  4x + 16  =   4 • (x + 4)


Equation at the end of step  3  :

 4 • (x + 4)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    4   =  0

Hope this helps you, Have a nice day.

4 0
3 years ago
I need this done thanks
aleksandr82 [10.1K]

Answer: Choice B

(-1,0), (-1,-2), (-3, -1), and (-3, -2)

============================================================

Explanation:

Let's focus on the point (2,0)

If we shift it 3 units to the left, then we subtract 3 from the x coordinate to get 2-3 = -1 as its new x coordinate. The y coordinate stays the same.

That means we move from (2,0) to (-1,0)

Based on this alone, choice B must be the answer as it's the only answer choice that mentions (-1,0).

If you shifted the other given points, you should find that they land on other coordinates mentioned in choice B.

8 0
2 years ago
Which equation demonstrates the additive identity property?
Blababa [14]

Answer:

first you have to add

Step-by-step explanation:

6 0
3 years ago
Vladimir is walking down the street at a speed of 4 miles per hour. Write an equation for the distance in miles, d, that Vladimi
zubka84 [21]

Answer:

d=4t

Step-by-step explanation:

We have been given that Vladimir is walking down the street at a speed of 4 miles per hour. We are asked to write an for the distance in miles, d, that Vladimir walks over time in hours, t.

We will use rate formula to solve our given problem.

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

\text{Distance}=\text{Speed}\times\text{Time}

Upon substituting our given information in distance equation, we will get:

d=4\cdot t

d=4t

Therefore, the equation d=4t represents the distance that Vladimir walks over time in hours.

8 0
3 years ago
Find limit as x approaches -3- of x/(sqrt(x^2-9)
gregori [183]
lim_{x \rightarrow -3} \frac{x}{x^2-9} =lim_{x \rightarrow -3} \frac{1}{2x} = \frac{1}{2(-3)} =- \frac{1}{6}
5 0
3 years ago
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