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1 year ago

Drag numbers to the line to complete the solution to the equation. HELP PLEASEE

Mathematics

1 answer:

Margaret [11]1 year ago

8 0

When solving the quadratic equation x² + 4x + 3 = 0 we get:

x = -1 and x = -3 .

<h3>What is completing the squares?</h3>

In mathematics, completing the square is a method for converting a quadratic expression of the form ax² + bx + c to the vertex form ,

a(x + m)² + n.

The most common application of this method is to solve a quadratic equation by rearranging the expression obtained after completing the square: a(x + m)² + n, so that the left side is a perfect square trinomial.

Here given an equation,

x² + 4x + 3 = 0

(x² + 4x +4) + (-4 + 3) =0

(x² + 4x + 4 ) = 1

(x + 2)² = 1

x + 2 = ±√1

x + 2 = ± 1

x + 1 = 0

x + 3 = 0

x = -1

x = -3

The answers are underlined.

By solving the equation x² + 4x + 3 = 0 we get x = -1 and x = -3.

To learn more about completing the squares refer to :

brainly.com/question/13981588

#SPJ13

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What value of x is in the solution set of 2x – 3 > 11 – 5x?

Alekssandra [29.7K]

$2x - 3 \ \textgreater \ 11- 5x\\
7x\ \textgreater \ 14\\
x\ \textgreater \ 2$

4

3 0

3 years ago

Read 2 more answers

The equation of the line that goes through the points ( − 3 , − 9 ) and ( − 6 , − 3 ) can be written in the form y = m x + b

ivolga24 [154]

Answer:

$y=-2x-15$

Step-by-step explanation:

$y=mx+b$ .

m is the slope of the line. To find it we can do $\frac{dy}{dx}$ which is the difference between the y-coordinates divided by the difference between the x-coordinates.

So: $\frac{dy}{dx} =\frac{-9-(-3)}{-3-(-6)} =\frac{-6}{3} =-2$ . Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant $b$ .

$-9=-2(-3)+b$

$b=-15$ - Re-arranging to get b

Now re-write the equation as we have the constants.

$y=-2x-15$

8 0

3 years ago

A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g. How many of each weight is needed?

Delicious77 [7]

The required number of weights used in chemical balance to weigh 237g is 4,1,1,7 respectively.

What is mathematical expression?

A mathematical expression expression in mathematical is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here, it is given that :

A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g.

Now, let us find the number of weights for each weight type :

For 50g weight the maximum number of weights needed will be 4 that is :

50g x 4 = 200g

Now, for 20g weight the maximum number of weights needed will be 1 that is :

20g x 1 = 20g

Now, for 10g weight the maximum number of weights needed will be 1 that is :

10g x 1 = 10g

Now, for 1g weight the maximum number of weights needed will be 7 that is :

1g x 7 = 7g

Adding all the weights we get :

200g + 20g + 10g + 7g = 237g;

which is the required weight and the number of weights used is 4,1,1,7 respectively.