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ExtremeBDS [4]
2 years ago
9

Question 21 of 25

Mathematics
1 answer:
Phantasy [73]2 years ago
5 0
It is A hope this helps :)
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Da<br> A<br> Solve the equation 2x^2+3=0
Anika [276]

Answer:

x = ±i(√6 / 2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Solving quadratics

<u>Algebra II</u>

Imaginary root i

  • √-1 = i

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2x² + 3 = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 3 on both sides:                        2x² = -3
  2. [Division Property of Equality] Divide 2 on both sides:                                  x² = -3/2
  3. [Equality Property] Square root both sides:                                                    x = ±√(-3/2)
  4. Simplify:                                                                                                             x = ±i(√6 / 2)
4 0
3 years ago
Jasmine has taken an online boating safety course and is now completing her end-of-course exam. As she answers each question, th
seropon [69]

Answer:

80 questions

Step-by-step explanation:

100%/20%=5%

5×16=80

8 0
3 years ago
write three ratios that are equivalent to the one given: The ratio of right-handed students to left-handed students is 18;4.
Ainat [17]
9 : 2 = 18 : 4

As: 9 x 2 : 2 x 2 = 18 : 4

--------------------

36 : 8 = 18 : 4

As: 18 x 2 : 4 x 2 = 36 : 8

--------------------

72 : 16 = 18 : 4

As: 18 x 4 : 4 x 4 = 72 : 16
6 0
3 years ago
If a man take one and a half mins to paint a door how much doors can he paint in seven half hour
sashaice [31]

Answer:

300 doors.

Step-by-step explanation:

1.5 minutes for 1 door.

7.5 hours for 300 doors.

7.5 hours = 450 minutes.

\frac{450}{1.5}=300

7 0
3 years ago
Explain relationship between the factors of a quadratic expression, the roots of the related quadratic equation, and the x-inter
Zinaida [17]

Step-by-step explanation:

So, let's use x2 - 3x - 28 as an example.

 

It's factors are (x - 7)(x + 4).

 

The roots are the x-values that make our expression equal 0. In order for x2 - 3x - 28 to equal 0, either of our factors need to equal 0, since 0 times anything is 0.

 

x2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

 

x - 7 = 0

x = 7

(7 - 7)(7 + 4) = 0(11) = 0

 

x + 4 = 0

x = -4

(-4 - 7)(-4 + 4) = -11(0) = 0

 

That gives us two points on our graph, (7,0) and (-4,0). Where are those? On the x-axis! Thus, there are our x-intercepts.

 

By the way, for the future, along the x-axis, y = 0, so if you are asked for the x-intercepts (or roots), set y = 0 and solve for x.

 

Along the y-axis, x = 0, so if you are asked for the y-intercepts, set x = 0 and solve for y.

 

y = 02 - 3(0) - 28

y = -28

 

So, the y-intercept(s) of our same equation is y = -28, or (0,-28).

 

Boom.

3 0
2 years ago
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