MATHEMATICS HIGH SCHOOL

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solve x^2-6x= -25

Answers

Answer 1

Answer:

Answer: x = 3 ± 4i

Step-by-step explanation:

x² - 6x + 25 = 0

a=1 b= -6 c=25

Use Quadratic Formula:

$x = \frac{-b +/- \sqrt{b^(2)-4ac}}{2a}$

$= \frac{-(-6) +/- \sqrt{(-6)^(2)-4(1)(25)}}{2(1)}$

$= (6 +/- √(36-100))/(2)$

$= (6 +/- √(-64))/(2)$

$= (6 +/- 8i)/(2)$

$= (2(3 +/- 4i))/(2)$

= 3 ± 4i

Answer 2

Answer:

Answer:

x= 3+4i , x= 3-4i

Step-by-step explanation:

x^2-6x= -25

To solve for x we need to make right hand side

So add 25 on both sides

$x^2-6x+25=0$

Now apply quadratic formula

$x=(-b+-√(b^2-4ac))/(2a)$

From the given equation a=1, b=-6 and c=25

Plug in all the values in the formula

$x=(-(-6)+-√((-6)^2-4(1)(25)))/(2(1))$

$x=(6+-√(-64))/(2)$

We know $√(-1) =i$

So equation becomes

$x=(6+8i)/(2)$

Divide by 2

x= 3+-4i

So x= 3+4i , x= 3-4i

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1. If the expression 9y − 5 represents a certain number, which of thefollowing could NOT be the translation?

a. five less than nine times y

b. five less than the sum of 9 and y

c. the difference between 9y and 5

d. the product of nine and y, decreased by 5

Answers

After examining all options, we find that each one can be represented by the expression 9y - 5. Therefore, there is no option that could NOT be the translation of the given expression.

To find the translation that could NOT be represented by the expression 9y - 5, we need to compare each option with the given expression and determine if they are equivalent or not.

The given expression is: 9y - 5

Now, let's examine each option:

a. five less than nine times y

This option can be represented as 9y - 5, so it is equivalent to the given expression.

b. five less than the sum of 9 and y

This option can be represented as 9 + y - 5, which simplifies to 9y - 5. So, it is also equivalent to the given expression.

c. the difference between 9y and 5

This option can be represented as 9y - 5, so it is equivalent to the given expression.

d. the product of nine and y, decreased by 5

This option can be represented as 9y - 5, so it is also equivalent to the given expression.

To know more about expression:

brainly.com/question/14347586

#SPJ2

Answer:

b. five less than the sum of 9 and y

Find the first six terms of the sequence. a1 = 4, an = an-1 + 8

OPTIONS ARE
a. 0, 8, 16, 24, 32, 40
b. 12, 20, 28, 36, 44, 52
c. 4, 12, 20, 28, 36, 44
d. 4, 8, 16, 24, 32, 40

Answers

The arithmetic sequence:
a 1 = 4, a n = a n-1 + 8, d = 8
a 2 = 4 + 8 = 12
a 3 = 12 + 8 = 20
a 4 = 20 + 8 = 28
a 5 = 28 + 8 = 36
a 6 = 36 + 8 = 44
Answer:
C ) 4, 12, 20, 28, 36, 44

Answer:

Step-by-step explanation:

Given: $a_(1)=4$ and $a_(n)=a_(n-1)+8$

To find: Find the first six terms of the sequence

Solution: Since, it is given that $a_(1)=4$ and $a_(n)=a_(n-1)+8$ , then the first term is 4 and the common difference, d=8.

Thus, the next terms are:

$a_(2)=a_(1)+8=4+8=12$ ,

$a_(3)=a_(2)+8=12+8=20$ ,

$a_(4)=a_(3)+8=10+8=28$ ,

$a_(5)=a_(4)+8=28+8=36$ and

$a_(6)=a_(5)+8=36+8=44$

Thus, the first six terms of the sequence will be 4, 12, 20, 28, 36, 44.

thus, option C is correct.

The Greek alphabet contains 24 letters. How many fraternity names with Greek letters can be formed if each fraternity name contains 3 letters and repetition of letters is not permitted?69
12,144
13,824

Answers

For the first letter we have 24 choices. Since letters can't repeat the second letter has 23 choices (24 minus 1 that was used for the first slot) and the third has 22 (24 minus one for the first slot and one for the second slot).

The total number of combinations is thus:
$24 * 23 * 22 = 12,144$