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Ilia_Sergeevich [38]
3 years ago
6

Solve 3x2 + 4x = −5.

Mathematics
2 answers:
erastova [34]3 years ago
3 0

Answer:


Step-by-step exExplanation:

Solve:

3

x

2

−

4

x

−

5

=

0

is a quadratic equation in standard form:

a

x

2

+

b

x

+

c

,

where:

a

=

3

,  

b

=

−

4

,  

c

=

−

5

Quadratic formula

x

=

−

b

±

√

b

2

−

4

a

c

2

a

Plug in the known values.

x

=

−

(

−

4

)

±

√

(

−

4

)

2

−

4

⋅

3

⋅

−

5

2

⋅

3

Simplify.

x

=

4

±

√

76

6

Prime factorize  

76

.

x

=

4

±

√

2

2

×

19

6

Apply rule:  

√

a

2

=

a

x

=

4

±

2

√

19

6

Simplify.

x

=

2

±

√

19

3

Solutions for  

x

.

x

=

2

+

√

19

3

,

 

2

−

√

19

3

Related questions

How do you know how many solutions  

2

x

2

+

5

x

−

7

=

0

has?

What is the Quadratic Formula?

planation:


baherus [9]3 years ago
3 0

Answer:

x= -11/4

Step-by-step explanation:


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Please try to help if you can.
PolarNik [594]

The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3

<h3>The sinusoidal function</h3>

The minimum and the maximum of the function are

  • Minimum = -1
  • Maximum = -5

The amplitude (A) is calculated as:

A = 0.5 * (Maximum - Minimum)

So, we have:

A = 0.5 * (-5 + 1)

A = -2

The vertical shift (d) is calculated as:

d = 0.5 * (Maximum + Minimum)

So, we have:

d = 0.5 * (-5 - 1)

d = -3

The period (P) is calculated as:

P = 2π/B

From the graph,

B = 1

So, we have:

P = 2π/1

P = 2π

So, the amplitude is -2 and the period is 2π.

<h3>The equation of the sine function</h3>

In (a), we have:

A = -2

B = 1

d = -3

A sine function is represented as:

y = A sin(Bx + C) + D

So, we have:

y = -2sin(x + C) - 3

The graph passes through the point (0, -5)

So, we have

-5 = -2sin(0 + C) - 3

Solve for C, we have

C = 1.5

So, we have:

y = -2sin(x + 1.5) - 3

Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3

Read more about sinusoidal function at

brainly.com/question/10700288

#SPJ1

7 0
1 year ago
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In this case, n = 1200, p = 0.35. So, mean = (1200)(0.35) = 420,
variance = (1200)(0.35)(1–0.35) = 273,
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