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Dafna11 [192]
3 years ago
12

What is the correct graph of the function 2x - y = 2?

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

slope: 2 2. y-intercept: 2 2.

Step-by-step explanation:

Any line can be graphed using two points.

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Helpppppppppppppppppppppppppp
Firlakuza [10]

Answer:

Option D.

Step-by-step explanation:

==>27

r = 3

9r

which means 9x3 = 27.

6 0
3 years ago
243 log 3^4x = 48 , x=...
lilavasa [31]
243log(81x)=48
log(81x)=48÷243
log(81x)=16÷81
81x=10^(16÷81)
81x= 81sqaure root pf 10^16
divide by 81
x =.0194557
3 0
3 years ago
Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))
BartSMP [9]
By using <span>De Moivre's theorem:
</span>
If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ \sqrt[n]{z} =  \sqrt[n]{a} \ (cos \  \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )
k= 0, 1 , 2, ..... , (n-1)


For The given complex number <span>⇒ z = 81(cos(3π/8) + i sin(3π/8))
</span>

Part (A) <span>find the modulus for all of the fourth roots
</span>
<span>∴ The modulus of the given complex number = l z l = 81
</span>
∴ The modulus of the fourth root = \sqrt[4]{z} =  \sqrt[4]{81} = 3

Part (b) find the angle for each of the four roots

The angle of the given complex number = \frac{3 \pi}{8}
There is four roots and the angle between each root = \frac{2 \pi}{4} =  \frac{\pi}{2}
The angle of the first root = \frac{ \frac{3 \pi}{8} }{4} =  \frac{3 \pi}{32}
The angle of the second root = \frac{3\pi}{32} +  \frac{\pi}{2} =  \frac{19\pi}{32}
The angle of the third root = \frac{19\pi}{32} +  \frac{\pi}{2} =  \frac{35\pi}{32}
The angle of the  fourth root = \frac{35\pi}{32} +  \frac{\pi}{2} =  \frac{51\pi}{32}

Part (C): find all of the fourth roots of this

The first root = z_{1} = 3 ( cos \  \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})
The second root = z_{2} = 3 ( cos \  \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})

The third root = z_{3} = 3 ( cos \  \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})
The fourth root = z_{4} = 3 ( cos \  \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})
7 0
3 years ago
A class has 35 students, of which 16 are male and 19 are female. If 6 of the students are selected at random to form a committee
madreJ [45]

Answer:

The probability of choosing exactly 2 male and 4 female students =\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}

Step-by-step explanation:

We are given that a class has 35 students

Number of male=16

Number of female=19

We have to choose 6 students for committee

We have to find the probability that exactly 2 male students are selected

Probability=P(E)=\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}

If we have to choose total 6 student in which 2 male and 4 female

Combination formula:

nC_r=\frac{n!}{r!(n-r)!}

Using the formula

The probability of choosing exactly 2 male and 4 female students =\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}

5 0
3 years ago
Write the following expression as a simplified polynomial in standard form.
LiRa [457]

Answer:

x^2-5x+33

Step-by-step explanation:

(x-4)^2 -5x+20-3

x^2-4^2

6 0
3 years ago
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