Answers
Answer:
Sorry I cant help
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex](\frac{\sqrt{3}}{3} +\frac{\sqrt{3}}{2} i)^2\\=\frac{3}{9} +\frac{3}{4} i^2+2 *\frac{\sqrt{3}}{3} *\frac{\sqrt{3}}{2} i\\=\frac{1}{3} -\frac{3}{4} +i\\=\frac{4-9}{12} +i\\=-\frac{5}{12} +i\\[/tex]
[i²=-1]
which is of the form a+bi
where a=-5/12,b=1
Related Questions
Which of the following is the restricted value of (x-5)/(〖3x〗^2-10x-25) ? *
Answers
Given:
The expression is
[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]
To find:
The restricted value of given expression.
Solution:
We have,
[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]
Equate the denominate equal to 0, to find the restricted value.
[tex]3x^2-10x-25=0[/tex]
[tex]3x^2-15x+5x-25=0[/tex]
[tex]3x(x-5)+5(x-5)=0[/tex]
[tex](x-5)(3x+5)=0[/tex]
Using zero product property, we get
[tex]x-5=0\text{ and }3x+5=0[/tex]
[tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex]
Therefore, the restricted values are [tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex].
The map shows the location of four places in a school. A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library. Peter's English class is located in the same quadrant is the auditorium. Which of the following could be the coordinates of the English classroom? (3, 2) (−3, 2) (−3, −2) (3, −2)
Answers
Answer:
(-3,2)
Step-by-step explanation:
Find the solutions to the equation below 9x^2 -81=0
Answers
Step-by-step explanation:
=
−
±
2
−
4
√
2
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
9
2
−
8
1
=
0
9x^{2}-81=0
9x2−81=0
=
9
a=
a=9
=
0
b={\color{#e8710a}{0}}
b=0
=
−
8
1
c={\color{#129eaf}{-81}}
c=−81
=
−
0
±
0
2
−
4
⋅
9
(
−
8
1
)
√
2
⋅
9
x=2⋅9−0±02−4⋅9(−81)
Given the equation y = 4 + 2x find the values for y given the value x
If x = 3 then y =
If x = -3 then y =
If x = 4 then y =
If x = -2 then y =
Answers
Answer:
If x = 3 then y = 10
If x = -3 then y = -2
If x = 4 then y = 12
If x = -2 then y = 0
which of the following pairs of functions are inverses of each other
Answers
Answer:
c would be the answer you are looking for and please mark brainliest
Step-by-step explanation:
Options A and D have functions that are inverses of each other.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To check whether two functions are inverses of each other, we need to check if the composition of the functions in both orders results in the input value.
Here, we need to check if f(g(x))=x and g(f(x))=x for all values of x in their domains.
A. f(x) = 7/(x-9) and g(x) = (x+9)/7
f(g(x)) = f((x+9)/7) = 7/((x+9)/7 - 9) = 7/(x/7) = x, so f and g are inverses of each other.
B. f(x) = x/6 + 8 and g(x) = 6x - 8
f(g(x)) = f(6x-8) = (6x-8)/6 + 8 = x/6 + 8/6 = x/6 + 4/3, which is not equal to x. Therefore, f and g are not inverses of each other.
C. f(x) = 2 + ∛x and g(x) = 2 - x³
f(g(x)) = f(2 - x³) = 2 + ∛(2 - x³) ≠ x, so f and g are not inverses of each other.
D. f(x) = 5x - 11 and g(x) = (x+11)/5
f(g(x)) = f((x+11)/5) = 5((x+11)/5) - 11 = x, and g(f(x)) = g(5x-11) = (5x-11+11)/5 = x/5, so f and g are inverses of each other.
Therefore, only options A and D have functions that are inverses of each other.
Learn more about inverse functions here:
brainly.com/question/2541698
#SPJ7
(a) The weight of a package affects the cost to send that package through the mail.
Which is the dependent variable?
weight of package
cost to mail package
Answers
Answer:
cost to mail package
Step-by-step explanation:
the weight is not dependant on the cost to mail the package
the cost depends on how much the package weighs.
What is the volume of a cone with a diameter of 10 cm at the base and a height of 20 cm? Use 3.14 for pie. Round to the nearest 10th of cubic centimeters.
Answers
The table represents some points on the graph of a linear function. What is the slope of the line?
Answers
Answer:
-9/2!
Step-by-step explanation:
For this one, It's a bit hard! But, using the process of elimination, you can tell, that since the Y's are going down, this is a negative slope. Since there was only two answers, and only one was negative, it's -9/2!
I really hope this helped... I know it wasn't the best, but I graphed it for you!
help. please. i have to type 20 things.
Answers
Answer:
Top Left: Acute Top Right: Acute Bottom Right: Obtuse Bottom Left: Right
Step-by-step explanation:
The top left and right have all angles less than 90 degrees which makes them acute. The Bottom right has an angle over 90 degrees which makes it obtuse, and the last one has a right angle 90 degrees.
the absolute value of a number can be positive or negative. true or false?
Answers
Answer:true
Step-by-step explanation:
its true i think
Answer:
False because the absolute value is always going to be positive.
Step-by-step explanation:
There's a lot more... Heh
Answers
Answer: B
Step-by-step explanation:-2^2 is the only negative number, 2^-2 is the only fraction, anything to 0th power equals 1, and (-2)^2 equals 4.
Answer:
The answer is B
Step-by-step explanation:
Let's solve:
(-2)^2= 4
2^0= 1
2^-2= 1/4
-2^2= - 4
Least to greatest is
-4, 1/4, 1, 4
Look back at the original equations and place them to get her with the answers to equal B
1-The price of a scooter decreased from $250 to $140. By what percent is the price decreased?
2-A tennis racket, regularly priced $48.00, is on sale for $31.20. What is the percent discount for the tennis racket?
3-The tire store bought a tire for $50, and sold it for $80. What percentage was the mark up?
4-A family eats at a restaurant. The bill is $43. The family leaves a tip and spends $49.88. How much was the tip as a percentage of the bill? (Find the percent increase)
5-A salesclerk gets a 7% commission on the sale of each computer. What is her commission on the sale of a computer that sells for $495?
Answers
Answer:
i think the answer is 110
Molly is painting her bedroom walls, and the paint costs $24 per gallon. How much does the paint cost per quart?
$3 per quart
$6 per quart
$48 per quart
$96 per quart
Answers
$6 per quart.
A quart is 1/4 of a gallon.
Answer:
$6 per quart
Step-by-step explanation:
Since we are trying to find out how much money a quart of paint will cost, we need to find out how many quarts are in one gallon.
There are 4 quarts in a gallon, therefore we take $24 divided by 4 and get $6 per quart.
Identify the function that fits the following table
x y
3 12
5 25
7 37
9 49
find the function
A. f(x) = 5x + 4
B.f(x) = 6x + 5
C.f(x) = 5x - 4
D.f(x) = 6x - 5
Answers
Once the points are graphed, you can see D is your function:)
Help me out please its with triangles and stuff
Answers
Answer:
11 in = 33 in.
Step-by-step explanation:
6 in. = 18 in.
the second triangle is 3 times bigger than the smaller one.
If 6 is scaled to 18 then you just multiply by 3.
11x3=33
I need to have this done by tonight and I don’t know what to put
Answers
Answer:
A. Option 1
Sign up cost = 0
1 Month = 125
2 Months = 150
3 Months = 175
4 Months = 200
Step-by-step explanation:
For every option simply write what the starting cost is in the top box for every option. Then multiply the monthly cost by how many months for each box and then add the starting cost. The result of the multiplication and addition will be what you put in each box.
So far, Brian has burned 147.8 calories. He wants to burn a total of 400 calories. How many more calories must Brian burn?
Answers
Answer:
252.2 calories
Step-by-step explanation:
400- 147.8
Answer: 252.2
Step-by-step explanation:
F(n)=2n+5. Find the 5th term in the sequence
Answers
Answer:
15
Step-by-step explanation:
[tex]F(n)=2n+5[/tex]
[tex]F(5) = 2(5)+5[/tex] (substitute 5 in to get the 5th term)
[tex]=10+5[/tex]
[tex]=15[/tex]
∴ The 5th term of the sequence is 15
Help pleaseeeeeeeeeee
Answers
A. Quadrant I
B. Quadrant I
C. Quadrant II
D. Quadrant III
Which of the following situations represent inductive reasoning? Select all that apply.
A. Harriet notices that her friend eats an apple for lunch every Monday, Wednesday, and Friday. Since today is Friday, Harriet makes a conjecture that her friend will eat an apple for lunch.
B. You notice that all butterflies in your yard are blue and black. Therefore, you decide that all butterflies are blue and black.
C. Terance adds the sides of an equilateral triangle and finds the length of the perimeter to be 3 times the length of one side. He guesses that the perimeter of every equilateral triangle will be three times the length of a side.
D. Kiana is writing a list of numbers 4, 8, 12, 16, ____. Her friend Freddy says the next number will be 20.
Answers
a farmer needs to build a goat pen. the pen will be 9 yards wide and 18 yards long. The fencing material costs 8.98 per yard. how much will it cost to buy enough fencing material
Answers
Answer:
$484.92
Step-by-step explanation:
Since you have 4 sides to the pen you will need to figure out how many yard total there is so two of your sides are 9 yards and the other two are 18 yards. now you have to add however many yards there are....
9+9=18
18+18=36
then you have to add those two numbers together
18+36=54 yards total
now you just multiply 54 by 8.98
your total amount of money you spent is $484.92
TRUE or FALSE; Quadratic Equations' graphs take the form of V's.
Answers
Answer:
False, they take form of a U shape
find the value of 1/3^-2
Answers
Answer:
9
Step-by-step explanation:
just reciprocate and change the negative sign to positive
Reed is purchasing an X-Box One. He made an initial payment of $75 to the store, and will pay $15 each month until the system is paid off. Which equation represents the relationship between x, the number of monthly payments Reed has paid, and t, the total amount that Reed has paid the store?
A. t = 75x + 15 C. t = 15x + 75
B. t = 15x - 75 D. Not Here
Answers
C.) T=15x+75
its 15 dollars each month and since you don't know the number of months the variable would correspond with 15 and you just need to add 75 onto it
Answer:
C. t = 15x + 75
Step-by-step explanation:
since you already payed the 75 dollars you add it and you multiply 15 by x because x is the number of months you pay
what are the common denominator for 2/3 and 5/12 ?
Answers
Answer: 12, 24, 36, 48, and it just keeps going
Step-by-step explanation:
Answer:
12/24, and 36/48ths.
Step-by-step explanation:
rewrite em
(-1,4) and (1,-1) find the distance
Answers
Answer:
Step-by-step explanation:
What is 2/3 ➗ 1/6?
2
3
4
6
Answers
Answer:
12/3=4
Step-by-step explanation:
it's 4, 2/3's stay the same. do the reciprocal on 1/6 which will be 6/1 and multiply
2/3(6/1)=12/3
and turn it to a mixed fractions and you would get 4
Write the slope intercept form of the equation of the line through the given points.
through: (-4,2) and (0,3)
y= 3x +1/4
y= -5/4x +3
y= 1/4x +3
y= -1/4x +3
Answers
Answer:
y= 1/4x + 3
Step-by-step explanation:
Answer:
y= 1/4x +3
Step-by-step explanation:
I used a graph
PLEZ FIND ANSWER ASAP WILL GIVE BRAINLIEST.
Answers
Answer:
y = 4
Step-by-step explanation:
Answer:
The equation of the line is 4
But it is also undefined
Step-by-step explanation:
The greatest common factor of 4xy and -6xy
Answers
Answer:
The greatest common factor is 2x