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KIM [24]
1 year ago
6

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x +

9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
Mathematics
1 answer:
Ede4ka [16]1 year ago
5 0

The required steps are

<em>2x^2 + 12x – 3 = 0. </em>

<em>2x2 + 12x  = 3</em>

<em>2(x^2+6x) = 3</em>

<em>2[(x+3)^2 - 9] = 3</em>

<h3>Completing the square method</h3>

Quadratic equations are equations that has a leading degree of 2

Given the equation below;

2x^2 + 12x – 3 = 0.

Add 3 to both sides

2x2 + 12x  = 3

Factor out 2

2(x^2+6x) = 3

Complete the square

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

2[(x+3)^2 - 9] = 3

This gives the required steps to solve the equation

Learn more on completing the square here: brainly.com/question/13981588

#SPJ1

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Find the inverse of each function. Is the inverse a function? y=(x+4)³-1
tatuchka [14]

Inverse of the give function F(x) = ( x + 4 )³ - 1 is F⁻¹(x) = [√( x + 1 ) ] - 4.

Given is a function of x, F(x) = ( x + 4 )³ - 1

These question can be solved by following 4 easy steps

Step 1 : Switch the F(x) with the variable y

This implies, F(x) = ( x + 4 )³ - 1 becomes y = ( x + 4 )³ - 1

Step 2 : Interchange the variable x and y in the above obtained equation

This implies, from the equation y = ( x + 4 )³ - 1, we get

x = ( y + 4 )³ - 1

Step 3 : Solve the new obtained equation for y

This implies, we have to simplify the equation by rearranging the terms to get the equation in terms of the variable x.

x = ( y + 4 )³ - 1

=> x + 1 = ( y + 4 )³

=>  (y + 4 )³ = x + 1

=> y + 4 = √( x + 1 )

=> y = √( x + 1 ) - 4

Hence we obtain the required equation.

Step 4 : Switch the variable y with F⁻¹(x)

This implies, y = √( x + 1 ) - 4 becomes F⁻¹(x) = √( x + 1 ) - 4

Therefore, we get the inverse of the give function F(x) = ( x + 4 )³ - 1 as F⁻¹(x) = [√( x + 1 ) ] - 4.

Learn more about Inverse of a Function here:

brainly.com/question/2541698?referrer=searchResults

#SPJ9

4 0
1 year ago
1. Jerry has a photo that is 7 inches wide and 5 inches high. He wants to enlarge it so that the new photo has a
Alexandra [31]

Answer:

9 Inches

Step-by-step explanation:

8 0
2 years ago
HELP ASAP! I WILL GIVE BRAINLEST! I HAVENT TURNED THIS IN AND ITS DUE TOMORROW.
Studentka2010 [4]

Answer:

332m²

Step-by-step explanation:

the formatting for finding the area of the triangle is base x height x 1/2

so we need to find 8.3 x 10

8.3 x 10 = 83

    83/2 = 41.5

there are 8 triangles in this shape so...

41.5 x 8 = 332

so the area of the polygon is 332m²

hope this helped!

- cheesetoasty

6 0
2 years ago
Read 2 more answers
Students were asked how many books they were carrying in their backpacks. The data is shown in the frequency table. What is the
maxonik [38]

Answer:

Some students were asked how many books they were carrying in their backpacks. The data is given in this frequency table. What is the mean number of pens carried by these students in their backpacks?

Pens      Frequency 

0                 4

1                 5

2                 8

3                 4

4                 3

5                 1

A.2

B.3.5

C.4

D.5.5

3 0
2 years ago
Which expression has a value of 16 when x=2
ELEN [110]

Answer:

Step-by-step explanation:

point sorry

7 0
2 years ago
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