Answer:
-2+4i
Step-by-step explanation:
Simplify by combining the real and imaginary parts of each expression.
The simplified form of the complex expression is -2 + 4i.
What are Complex Numbers?Complex numbers are numbers which are of the form [tex]a+ib[/tex],
where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^{2}[/tex] = -1.
Given expression is (2 + 3i) + (-4 + i).
Addition of complex numbers is defined as,
(a + ib) + (a' + ib') = (a + a') + i(b + b')
Using the definition of addition of complex numbers, given expression can be added as,
(2 + 3i) + (-4 + i) = (2 + -4) + i(3 + 1) = -2 + 4i
Hence the resulting value is -2 + 4i.
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The points with coordinates (0, 3) and (8, 5) lie on the straight line L. Write down an equation of L.
Answer:
y = (1/4)*x + 3
Step-by-step explanation:
A linear equation can be written as:
y = a*x + b
Where a is the slope, and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
In this case, we know that the line passes through the points (0, 3) and (8, 5)
Then the slope will be:
a = (5 - 3)/(8 - 0) = 2/8 = 1/4
Then this line is something like:
y = (1/4)*x + b
Now we want to find the value of b.
Here we can use one of the two points that we know, for example, I will use the point (0, 3), this means that when x = 0, we must have y = 3.
If we replace those two values in the line equation, we get:
3 = (1/4)*0 + b
3 = b
Then the equation for the line L is:
y = (1/4)*x + 3
pls help meeeeeeeeeeeeeee
Answer:
73
Step-by-step explanation:
13+15(4) = 73
Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. F(x) = x3 − x2 − 18x + 19, k = 4 f(x) = Demonstrate that f(k) = r. F(4) =
Solution :
Given :
[tex]$f(x)=x^3-x^2-18x+19$[/tex]
By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then
[tex]$f(x)=(x-k)q(x)+r$[/tex]
Here, k = 4
Therefore, divide the f(x) with (x - 4) to find the q(x) and r.
__________________
[tex]$x-4$[/tex] | [tex]$x^3-x^2-18x+19$[/tex] | [tex]$x^2+3x-6$[/tex]
[tex]$x^3-4x^2$[/tex]
------------------------------------
[tex]$3x^2-18x$[/tex]
[tex]$3x^2-12x$[/tex]
-------------------------------------
[tex]$-6x+19$[/tex]
[tex]$-6x+24$[/tex]
-------------------------------------
[tex]$-5$[/tex]
Therefore,
q(x) = [tex]$x^2+3x-6$[/tex]
r = -5
[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]
[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]
[tex]$=-5$[/tex]
Help me pleaseee!! I’ll mark
Answer:
esarespuesta ad 56
Step-by-step explanation:
Suppose Lindsay’s mom invests $10,000, part at 3%, and the rest at 2.5%, in interest-bearing accounts.-10,00007.5 The totally yearly investment income (interest) is $283. How much did Lindsay’s mom invest at each rate?
Answer:
she invested 6600 at 3% and 3400 at 2.5%
Step-by-step explanation:
Simple interest = amount deposited x time x interest rate
Let the amount deposited in in the account bearing 3% interest by represented with a
Let the amount deposited in in the account bearing 2.5% interest by represented with (10,000 - a)
a x 0.03 + (10,000 - a) x 0.025 = 283
0.03a + 250 - 0,025a = 283
collect like terms
0.03a - 0.025a = 283 - 250
0.005a = 33
a = 6600
the amount deposited in the 2.5% account = 1000 - 6600 = 3400
HELP ME PLEASE I NEED THE ANSWERS ASAP. geometry
Answer:
[tex]6\pi[/tex], 6pi
Step-by-step explanation:
The area of the full circle would be [tex]\pi *4^{2}[/tex], which is [tex]16\pi[/tex]
A full circle is 360 degrees. Since we are only taking a part of that, 135, we would put it in a fraction. [tex]\frac{135}{360}[/tex]
Last, multiply 16pi and 135/360 since we are taking a part of 16pi.
[tex]16\pi *\frac{135}{360}[/tex]
[tex]\frac{2160\pi}{360}[/tex]
[tex]6\pi[/tex]
Please help! If you do you get 'Brainliest'
Answer:
D
Step-by-step explanation:
when dealing with percentages move the decimal back two to get its absolute value
12 donuts cost $6.96. What is the unit rate for one donut?
Answer:
6.96/12
= 0.58
Step-by-step explanation:
each donut costs $0.58. you can check the work by plugging 12 in for x. (0.58x)
i hope this helps :)
can somebody help quick
Answer:
1.5x + 14
Step-by-step explanation:
Answer:
3x+28
Step-by-step explanation:
4. MN has an equation of 2x - y = 3. Which of the following is the equation of a line
perpendicular to MN and passes through the point (4,3)?
A.
1
y = --X-5
2
C, y = -x-
2
B.
y = -2x-5
D. y = -x + 5
2
what is the value of x??
−3(x+9)=33
Answer:
x= −20
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(x+9)=33
Step 1: Simplify both sides of the equation.
−3(x+9)=33
(−3)(x)+(−3)(9)=33(Distribute)
−3x+−27=33
−3x−27=33
Step 2: Add 27 to both sides.
−3x−27+27=33+27
−3x=60
Step 3: Divide both sides by -3.
−3x −3 = 60 −3 x=−20
Answer:
x=−20
Hope this helps! :)
Answer:
x=-20
Step-by-step explanation:
−3(x+9)=33
Divide both sides by -3
-3(x+9)/-3=33/-3
simplify;
-3(x+9)/-3
Divide the numbers:3/3=1
=x+9
Simplify 33/-3
=-33/3
Divide the numbers 33/3
=-11
x+9=-11
Subtract 9 from both sides
x+9-9=-11-9
Simplify;
x=-20
Helped by none other than the ONE and ONLY #QUEEN aka #DRIPPQUEENMO!
PLSSSSSSSSS HELPP WILL GIVE BRAINLIEST PLSSS
Answer:
Probably the median since it is 22
Step-by-step explanation:
If a point is randomly selected from the area under the curve, what is the probability that it will be in the black region?
A) 0.5
B) 1.0
C) 1.5
D) 2.0
Answer:
A) 0.5
Step-by-step explanation:
The probability between 0 and 3 is 0.49865
The probability of 0 or less (≤ 0) is 0.50000
Took the test on USA Test prep
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system
Anyone know how to answer this question?
Answer:
30
Step-by-step explanation:
yall i need help rn please
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If y = 1/2x, then y will always be half of x.
Water is being drained from a swimming pool containing 12,000 gallons of water. After
one hour passes, 60% of the water remains. At the start of the fifth hour, how many
gallons of water remain? Round your final answer to the nearest gallon.
933 gallons
560 gallons
1.555 gallons
2,592 gallons
Also I need part b on this one
Answer:
there is nothing here but thanks for the points
Step-by-step explanation:
Have a great rest of your day/night!
How much tax, in dollars, did Andrea pay for each song? There are 85 songs, each one costs 1.09 plus tax, and the total is $96.90
Answer:
$4.25 tax
Step-by-step explanation:
[tex]85 \times 1.09 + x = 96.90[/tex]
[tex]x = 4.25[/tex]
What is the 15th term in the sequence with the given formula?
An = 7n – 10
Need help What is 6/10 in simplest form
Answer:
3/5
Step-by-step explanation:
35.
Step-by-step explanation:
The simplest form of 610 is 35.
The United States Postal Service delivers about 2^8⋅5^2 pieces of mail each second. There are 2^8⋅3^4⋅5^2 seconds in 6 days. How many pieces of mail does the United States Postal Service deliver in 6 days? Write your answer as an expression involving three powers.
Answer:
The total number of pieces delivered in 6 days is the number delivered each second (28.52) times the number of seconds in 6 days (28 34.52). This gives:
(28.52) (28 3¹.52) 28 + 8.31.52+2 = 216.31.54
I love your profile picture and I hope this helps! :)
A 68 kg deer has a momentum of 952 kg-m/s. What is its velocity?
Answer:
14 m/s
Step-by-step explanation:
10 points
Are the triangles similar? If so state how you know and pick the correct
similarity statement. *
H
R
T
ATSR -
A) similar, AA similarity; ATGH
B) similar, SAS similarity; ATHG
C) similar, SAS similarity; AHTG
D) not similar
A
Answer:
They are similar however i don't see where the a is at. If you see G would go to S which means H would go to R. I think the answer is B
Step-by-step explanation:
HELP ASAP PLEASE!!!!!!!1
A second linear function, y = mx + 4, has the same slope as the
function in the table. What is the value of m?
Answer:
Step-by-step explanation:
Convert: 5 mi= ________ yd
Group of answer choices
1,760
8,800
8,000
7,040
The ___________________ of an object is how heavy the object is
Group of answer choices
none
length
weight
capacity
The _____________________ of a container is the amount the container can hold.
Group of answer choices
length
capacity
No answer text provided.
weight
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
__________________________________________________________
__________________________________________________________
Convert: 9 T = _____________ lb =
Compare. Write <, > or = Solve.
96 fl oz ___________ 13 c
Compare. Write <, > or = Solve.
25 lb ______________ 384 oz
Compare. Write <, > or = Solve.
8 yd ______________ 288 in.
Convert. 336 oz = _________ lb =
Answer:
I DONT KNOW BUT
Step-by-step explanation:
1) Mary and Frank have two bags in front of them. Mary's bag has 4 Inarbles; blue, yellow, red
and green. Frank's bag has 3 marbles; purple, orange, and pink. They will pick from their bag
at the same time. What is the probability of Mary selecting red from her bag and Frank selecting
purple from his bag? Use a sample space to support your answer.
Answer:
25% chance that Mary gets red, 33.3333333% chance that Frank gets purple.
Step-by-step explanation:
Question 3 of 10
What is the formula for finding the break-even point?
A. Break even point =
(0.125)(# of points)
monthly savings
B. Break even point =
(0.01)(# of points) (P)
monthly savings
C. Break even point =
(0.125)(# of points) (P)
monthly savings
D. Break even point =
(0.01) (# of points)
monthly savings
SUB
Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings
Step-by-step explanation: took the quiz.
The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).
What is break-even point?The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.
The formula for finding the break-even point is:
Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)
Where:
Fixed costs: the costs that do not change with the level of production or salesUnit price: the selling price of one unit of the product or serviceVariable costs per unit: the costs that vary with the level of production or sales, such as materials, labor, and shipping costs.Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.
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Why does everyone expect people to awnser questions but they never awnser any them selves like I need help and I've helped loads of people with their questions but not even a single one of my questions are awnsered people just want fee points so they pick easy questions not cool
Answer:
thats crazy bro
Step-by-step explanation:
Answer:
This is very true
Step-by-step explanation:
I know how you feel
