MATHEMATICS HIGH SCHOOL

I'll give 100 pts and brainliest if you answer this!!!thank you for the help boo

Perform the operation. Write the answer in standard form.
1. (6 − i) + (9 + 5i)
2. (7 + 3i) + (11 + 2i)
3. (12 + 4i) − (2 − 15i)
4. (3 − 7i) − (3 + 5i)
5. 7 − (2 − 3i) + 6i
6. −16 + (3 + 4i) − 4i
7. 3i(6 − 5i)
8. −2i(8 + 2i)
9. (−5 + i)(8 − 6i)
10. (3 − 6i)(−1 + 7i)
11. (2 + 5i)(2 − 5i)
12. (−3 − i)(−3 + I)
13. (4 + i) 2
14. (5 − 9i) 2
Thank you again <3

Answers

Answer 1

Answer:

Answer:

1. $4i+15$

2. $5i+18$

3. $-11i+10$

4. $-2i$

5. $9i+5$

6. $-13$

7. $-15i^(2)+18i$

8. $-4i^2-16i$

9. $-6i^2+38i-40$

10. $-42i^2+27i-3$

11. $-25i^2+4$

12. $-i^2+9$

13. $2i+8$

14. $-18i+10$

Step-by-step explanation:

Standard form means to put the terms in order based on their exponent (x³ -> x² -> x -> constant)

1. (6 - i) + (9 + 5i)

$4i+15$

2. (7 + 3i) + (11 + 2i)

$5i+18$

3. (12 + 4i) - (2 - 15i)

$-11i+10$

4. (3 - 7i) - (3 + 5i)

$-2i$

$35i^2+6i-9$

5. 7 - (2 - 3i) + 6i

$7 - 2 + 3i + 6i$

$9i+5$

6. -16 + (3 + 4i) - 4i

$-16 + 3 + 4i - 4i$

$-13$

7. 3i(6-5i)

$18i-15i^2$

$-15i^2+18i$

8. -2i(8+2i)

$-16i+-4i^2$

$-4i^2-16i$

9. (-5 + i)(8 - 6i)

$-40+30i+8i-6i^2$

$-6i^2+38i-40$

10. (3 - 6i)(-1 + 7i)

$-3+21i+6i-42i^2$

$42i^2+27i-3$

11. (2 + 5i)(2 - 5i)

$4-10i+10i-25i^(2)$

$-25i^2+4$

12. (-3 - i)(-3 + i)

$9 -3i + 3i -i^2$

$-i^2+9$

13. (4 + i) * 2

$2i+8$

14. (5 - 9i) * 2

$-18i+10$

:p when I first started answering this I thought the parentheses were being multiplied every time and did 100x more work .-.

Hope it helps <3 :D

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The director of a museum recorded the number of students and adult chaperones in several school groups visiting the museum. She organized the data in a scatter plot, where x represents the number of students and y represents the number of adult chaperones. Then she used a graphing tool to find the equation of the line of best fit: y = 0.123x + 5.397. Based on the line of best fit, approximately how many students are predicted to be in a school group with 20 adult chaperones? A. 8 B. 119 C. 157 D. 206

Answers

Answer:

b. 119

Step-by-step explanation:

Answer:

Step-by-step explanation:

A set of equations is given below: Equation C: y = 5x + 10 Equation D: y = 5x + 2 Which of the following best describes the solution to the given set of equations? One solution No solution Two solutions Infinitely many solutions

Answers

The system of equations has no solution.

What is equation?

An equation is arrangement of variables and coefficient which provides to understand given statement in form of numbers .That means a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

How to solve?

Given equation y=5x+10 and other equation y=5x+2

to check if two have any solution possible we will substitute value and check if RHS=LHS or not

∴y=5x+10=5x+2

=5x+10=5x+2

⇒0= -8

hence RHS≠ LHS hence no solution is possible

Learn more about finding solutions brainly.com/question/1365672

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The system of equations
$\left \{ {{y = 5x + 10 } \atop { y = 5x + 2}} \right.$

you can easily see that they are contrary to the equation . We not solve them . However prove it.

by substitution .
We substitute the value of y from the first equation to the second equation

y = 5x + 10
y = 5x + 2

y = 5x + 10
5x + 10 = 5x + 2

y = 5x + 10
5x - 5x = 2 - 10

y = 5x + 10
0 ≠ -8

or by opposing coefficients
y = 5x + 10 [* (-1)
y = 5x + 2

-y = -5x - 10
y = 5x + 2
----------------- sum
0 ≠ -8

Answer. No solution

Solve x-2>-6
thanks!

Answers

x-2>-6
add 2
x+2-2>-6+2
x+0>-4
x>-4

x is more than -4 (pick any number)

Simple,

isolate x

x-2>-6
+2 +2

x>-4

Thus, your answer.

0.05 is ten times as much as

Answers

0.5
you just need to move the dot to the right

.05 is ten times more than a number so if x is the number, 10x=.05
x=.005

6y = 3x -9 6x-2y=14 How many solutions does the linear system have? A) Infinite B) None C) One D) Two

Answers

Answer:

C) One!

Step-by-step explanation:

Let’s solve the first equation for y:

6y = 3x - 9 y = (3/6)x - (9/6) y = (1/2)x - (3/2)

Now, we substitute this expression for y into the second equation:

6x - 2y = 14 6x - 2((1/2)x - (3/2)) = 14 6x - x + 3 = 14 5x = 11 x = 11/5

Finally, we substitute this value of x back into either of the original equations to find y:

6y = 3(11/5) - 9 6y = 33/5 - 45/5 6y = -12/5 y = -2/5

Therefore, the solution to the system of equations is C) One.

I hope this helps :D

What is the solution of log3x − 12 729 = 6?x = −5
x = −3
x = 3
x = 5

*"3x- 12" is next to log, but it's in the bottom, like an exponent, but instead of it being on top, it's below.

Answers

$Domain:\nD:3x-12 > 0\ and\ 3x-12\neq1\ \ \ |add\ 12\ to\ both\ sides\n3x > 12\ and\ 3x\neq13\ \ \ \ |divide\ both\sides\ by\ 3\nx > 4\ and\ x\neq(13)/(3)\n\boxed{x\in\left(4;\ (13)/(3)\right)\ \cup\ \left((13)/(3);\ \infty\right)}\n----------------------\n\n\log_(3x-12)729=6\n--------\n\log_ab=c\iff a^c=b\n----------\n\log_(3x-12)729=6\iff(3x-12)^6=729\n\n(3x-12)^6=3^6\iff3x-12=3\ \ \ |add\ 12\ to\ both\ sides\n3x=15\ \ \ \ |divide\ both\ sides\ by\ 3\n\boxed{\boxed{x=5\in D}}$

$log _(3x-12) ^(729)$ = 6
$(3x-12)^(6) = 7293x - 12 = \sqrt[6]{729} = 33x= 15x=5$

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