Answer:
see below
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i² (This is because (a + b)² = a² + 2ab + b²; in this case, a = a and b = bi)
= a² + 2abi + b² · (-1) (This is because i² = -1)
= a² - b² + 2abi (Simplify, rearrange)
= (a + b)(a - b) + 2abi (This is because a² - b² factors to (a + b)(a - b))
Hope this helps!
Answer:
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i²
a² + 2abi + b² · (-1)
a² - b² + 2abi
(a + b)(a - b) + 2abi
-4= d+3/5
Please help this makes no sense to me
Find the height of the pyramid.
Volume
392 cm3
14 cm
7 cm
The height is
centimeters.
Answer:
12 cm
Step-by-step explanation:
Base area
14 x 7 = 98 cm²
The volume of pyramid
392= 1/3 x height x base area
Height =12 cm
Which expression is equal to 1-12|- |-3|?
О-15
9
o 9
o 15
Answer:
15 i think 15 or 9 is the answer
What is the product of 12 and 5 decreased by 17
Answer:
43
Step-by-step explanation:
Answer: 43
Step-by-step explanation:
12x5-17 would be the equation
60-17 multiplication due to PEMDAS
43 subtraction
Which diagram demonstrates the problem 3x 1/4
Answer:
A.
Step-by-step explanation:
3 * 1/4 = 3/4
Which answer shades 3 out of 4 blocks? A.
Answer:
the answer is A
Step-by-step explanation:
3 * (1/4) = .75.... Think about how many quarters make a dollar .75 cents is 3/4 of a dollar
Please I will give you 10 plus 5 more for brainliest
Answer:
1-12
Step-by-step explanation:
1. left 2. right 3. equal 4. left 5. left 6. equal
sry i was running out of time.
f(x) = 2x3 + 6x2 – 5x – 3
g(x) = 3x – 4
Find (f - g)(x).
O A. (f - g)(x) = 2x3 + 6x2 – 2x – 7
O B. (f - g)(x) = 2x3 + 6x2 – 2x + 1
O c. (f - g)(x) = 2x3 + 6x2 – 8x – 7
O D. (f - g)(x) = 2x3 + 6x2 – 8x + 1
Answer:
D) is the answer
Step-by-step explanation:
It is taught in 5th class in India
Mark as Brainliest.
Because I am Indian and solving your question from India.
The correct answer is option D which is (f - g)(x) = 2x³ + 6x² – 8x + 1.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that:-
f(x) = 2x³ + 6x² – 5x – 3
g(x) = 3x – 4
The function (f-g)x will be calculated as follows:-
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( 2x³ + 6x² – 5x – 3 ) - ( 3x – 4 )
(f - g)(x) = 2x³ + 6x² – 5x – 3 - 3x + 4
(f - g)(x) = 2x³ + 6x² – 8x + 1
Therefore the correct answer is option D which is (f - g)(x) = 2x³ + 6x² – 8x + 1.
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Question 1 -What number in the equation below would be the coefficient?
- 4x
7 = 5
4
-7
O 5
O none of the above
Answer:
4
Step-by-step explanation:
coefficient is the number next to the variable.
2 3/5 is what percent of 20..................
Answer:
Hello There!!
Step-by-step explanation:
The answer is 13% as you convert 2 3/5 to an improper fraction which is 13/5. Convert this into a decimal which is 2.6 . 2.6 ÷20=0.13 ×100 (to get it as a fraction) which equals 13%.
hope this helps,have a great day!!
~Pinky~
2 3/5 is equal to 13% of 20 by express the mixed number as an improper fraction and converting it into percentage.
To convert 2 3/5 to a percentage of 20,
first need to express the mixed number as an improper fraction. The improper fraction is found by multiplying the whole number (2) by the denominator of the fraction (5) and then adding the numerator (3) to get 13/5.Next, convert the improper fraction 13/5 to a decimal by dividing the numerator (13) by the denominator (5).
This gives us 2.6.
Express the decimal as a percentage, multiply by 100.
2.6 x 100 = 260%
This results in 260%. However, since 260% is larger than 100%,
Find the percentage of 260% by 20.
260%÷20
On dividing by 10 gives:
=26/2
On dividing by 2gives:
=13%
In conclusion, 2 3/5 is equal to 13% of 20.
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Sean has a beginning balance of $328.15 in his account. He writes checks for the following amounts: $20.75, $43.58, $30.45, and $29.72. What is the new balance in Sean’s account?
Answer:
20.75+43.58+30.45+29.72= 124.5
328.15-124.5=
203.65.Answer:
198
Step-by-step explanation:
There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices
Answer: There are 990 croissants
Step-by-step explanation:
If 45% of them are pretzels then 55% of the pastries hs to be croissants.
Multiply 55% by the total number of pastries to find the number of croissants.
55% * 1,800 = 990
HELP MI PORFA<3
Question 1 (4 points)
1. Write a two column proof. (4pts)
Given: 2(3x + 4) = 56
Prove: x = 8.
I
Question 2
Step-by-step explanation:
2(3x+4)=56
<=> 6x+8=56
<=> 6x=48
<=> x=8
0.50(61 + 3s)
Use the Distributive Property to expand the expression.
Answer:
30.5 + 1.5s
Step-by-step explanation:
Pls work out and give detail. Use the slope formula to determine the slope of each line.
4. AB
ТУ
41
2
2ТА
B
Х
— 4 — 2
O|
2
N
т
-4 +
Answer:
[tex]m=0[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the slope of the line
From the attachment, we have the following points
[tex](x_1,y_1) = (-4,1)[/tex]
and
[tex](x_2,y_2) = (3,1)[/tex]
The slope m is then calculated using:
[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]
Substitute values for the x's and y's
[tex]m = \frac{1-1}{3 - (-4)}[/tex]
[tex]m = \frac{1-1}{3 +4}[/tex]
[tex]m = \frac{0}{7}[/tex]
[tex]m=0[/tex]
Hence, the slope is 0
NEED ANSWER ASAP WILL GIVE 20 POINTS ONLY IF CORRECT PLS ANSWER NOW
Which statement is true for the equation 3x − 3x − 2 = −2?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
Answer:
Hey. This equation has infinite many solutions.
3x - 3x - 2 = - 2
3x - 3x = 0
3x = 3x
This equals to each other meaning infinite solutions
Step-by-step explanation:
helpppppp meeeeeeeee
Answer:
probably H but im not sure
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
the equation is 5x=0.1y
Scores on a recent ACT test yielded mean 20.9 and standard deviation 4.7. find the probability that a random sample of 32 test scores had a mean below 20.
a) .1914
b) .5753
c) .8599
d) .4247
e) .1401
Answer:
E. 0.1401
Step-by-step explanation:
The mean here has been given as 20.9
The standard deviation sd = 4.7
Random sample n = 32
Sd/√n
= 4.7/√32
= 0.8309
Probability of x less than 20
= 20-20.9/0.8309
= -0.9/0.8309
= -1.083
P(z<-1.083)
When we go to the z table
= 0.1401
Therefore the probability is 0.1401 and the answer to this question is E.
Ana Completed 40% of her homework assignment How to Assignments contain 30 math problems how many problems does Anna still need to complete
Answer:
18
Step-by-step explanation:
30*0.4=12
This means 40% of 30 is 12 and Ana has completed 12 problems.
30-12 = 18, so she still needs to do 18 problems.
Can you help me understand?
Answer:
-3,10
Step-by-step explanation:
My last oneeeeee help please
Answer:
C HOPE THIS HELPS MARK BRain leist
Step-by-step explanation:
the students Bend 1/8 of an hour each evening reading a book about biplanes if it took the student 10 evening to finish the book how many hours in all did the students spend reading
Answer:
C. 3¾
Step-by-step explanation:
Number of hours spent per evening reading the book = ⅜ hr
Number of evenings it took to complete reading the book = 10
Total number of hours spent in reading = ⅜ × 10 = 30/8
Simplify
= 15/4
= 3¾ hours
I NEED HELP PLEASE Thank youuuu
Answer:
number 8 is b
Step-by-step explanation:
Distance Formula
[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^2 }[/tex]
(-2,-3) (2,1) Midpoint (2,1)
[tex]d = \sqrt{(2--2)^2 + (1--3)^2} \\\\d = \sqrt{(4)^2 + (4)^2\\} \\\\d = \sqrt{ 32}\\\\d = 5.7\\[/tex]
Then find the slope.
1- - 3 / 2 - -2 = 4/4 = 1
(or use an online graphing calculator)
The Points are (6,5)
(Numerical problems) A car is running with the velocity of 72km/h. What will be it's velocity after 5s if it's acceleration is -2m/s square
Step-by-step explanation:
72km/h = 72,000m/3,600s = 20m/s.
Using Kinematics, we have
v = u + at
= (20m/s) + (-2m/s²)(5s)
= 10m/s.
Hence the velocity will be 10m/s. (or 36km/h)
mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?
Answer:
600 acres
Step-by-step explanation:
Hope this helps!
The number of acres of land Mcgregor has 600 acres.
Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the total number of acres be x.
So, 30% of x=180
⇒ 30/100 × x=180
⇒ 0.3x=180
⇒ x=180/0.3
⇒ x=600
Hence, the number of acres of land Mcgregor has 600 acres.
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What is the equation of the line that has a slope of 4 and passes through the point (-1, 4)?
O y = 4x + 8
O y = 4x - 1
O y = 4x + 4
Answer:
y = 4x + 8
Step-by-step explanation:
Plug x = -1 into each of the equations, and see which one results in y = 4.
The first equation will be the only correct answer.
y = 4x + 8
y = -4 + 8
y = 4
Answer:
[tex]y=4x+8[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
Here's what the variables mean:
[tex]y[/tex] = the y-coordinate
[tex]m[/tex] = the slope of the line
[tex]x[/tex] = the x-coordinate
[tex]b[/tex] = the y-intercept (the value of y where the line crosses the y-axis)
Because the slope of the line is 4, we can plug that into our equation as [tex]m[/tex]:
[tex]y=4x+b[/tex]
Now, all we have to do is solve for [tex]b[/tex], the y-intercept. We can do this by plugging the point (-1, 4) into the equation as [tex]x[/tex] and [tex]y[/tex].
[tex]4=4(-1)+b[/tex]
Solve the equation
[tex]4=4(-1)+b\\4=-4+b[/tex]
Add 4 to both sides to isolate [tex]b[/tex]
[tex]4+4=-4+b+4\\8=b[/tex]
Therefore, [tex]b[/tex], or the y-intercept, is equal to 8.
Now, when we plug the y-intercept into our equation, we get:
[tex]y=4x+8[/tex]
I hope this helps!
which statement is true regarding the functions on the graph?
Answer:
f(3)=g(3)
Step-by-step explanation:
the only one i see is that
f(3)=g(3)
because the two functions intersect there
that means the two values are the same
if anyone knows the answer please help
Answer: B
Step-by-step explanation:
1/9(3)^x
(3)^(5) = 243
243(1/9) = 27
Hope this helps :)
8. La semana pasada, John gasto $ 18 en 4 juegos de bolos. Esta semana gastó $ 27 en 6 juegos de bolos. John tiene su propio par de zapatos, por lo que solo paga por los juegos que juega. ¿Es esta relación proporcional? Si es así, ¿cuál es la constante de proporcionalidad?.
Answer:
Step-by-step explanation:
las quenos juegos = 18
I need help Brian listed if u awnser! right now!
Which of the following would you expect to find on a monthly account statement? a. A new set of checks and deposit slips for the coming month. b. A list of credits and debits made during the period. c. A comparison of ending balances for the past 12 months. d. A tally of all credits and debits in the account’s history.
Answer:
b. A list of credits and debits made during the period.
Step-by-step explanation:
Edge 2021
On a monthly account statement, what you are expected to find is a A list of credits and debits made during the period.
What is a monthly account statement?This can be referred to as a statement of the debits and the credits that occurred in a given period of one month.
The account statement is a statement of the transactions that have occurred in an establishment over a period.
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