What is the standard form of (7-5i) (2+3i)

A mystery number minus 6 gives you a result of 10. What is the mystery number?

scoray [572]

The mystery number is 16 because 16 - 6 = 10.

5 0

3 years ago

For each of the following sequences, • Give a formula for the nth term in the sequence, • Give a recursive definition for the se

Andrew [12]

Answer:

(a) $n^{th} = n$

$f(1) = 1$

$f(n) = f(n-1) + 1$

(b) $n^{th} = 2^{n-1}$

$f(1) = 1$

$f(n) = f(n-1) * 2$

(c) $n^{th} = n!$

$f(1) = 1$

$f(n) = f(n-1) * n$

Step-by-step explanation:

(a) This is a sequence of consecutive number

$n^{th} = n$

$f(1) = 1$

$f(n) = f(n-1) + 1$

(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number

$n^{th} = 2^{n-1}$

$f(1) = 1$

$f(n) = f(n-1) * 2$

(c) This is factorial sequence. Where the next number is this number multiplied by $n^{th}$

$n^{th} = n!$

$f(1) = 1$

$f(n) = f(n-1) * n$

5 0

3 years ago

Which graph shows the solution to the system of linear inequalities y>1/3x+1, y>2x-3

ElenaW [278]

For this case we have the following system:

$y> \frac {1} {3} x + 1\\y> 2x-3$

To solve, we first change the inequality for an equality:

$y = \frac {1} {3} x + 1\\y = 2x-3$

Matching we have:

$\frac {1} {3} x + 1 = 2x-3\\\frac {1} {3} x-2x = -3-1\\- \frac {5} {3} x = -4\\\frac {5} {3} x = 4\\5x = 12\\x = \frac {12} {5}$

So:

$y = 2x-3\\y = 2 (\frac {12} {5}) - 3\\y = \frac {24} {5} -3\\y = \frac {9} {5}$

Thus, $(\frac {12} {5}, \frac {9} {5})$ is the point of intersection of the lines.

Answer:

The graphic is attached

6 0

3 years ago

If g√ 108 =√ 3/g, what is a value of g?

Rzqust [24]

Answer:

Step-by-step explanation:

hello :

g√ 108 =√ 3/g means : g² = √ 3/√ 108

g² = √(3/108)

g² = √(1/36)

g² = √(1/6)²

g² = 1/6

g = 1/√6 or g = - 1/√6

5 0

3 years ago

Hal is three times as old as his nephew. Hal is 12 years old. Write a multiplication equation and solve the equation to determin

zalisa [80]

Answer:

4

Step-by-step explanation:

The equation would be x * 3 = 12 because we know that Hal's age is 12 and that he's 3 times as old as his nephew. When we solve it we get the answer 4.

4 0

3 years ago