Answer:
x = -1.129i, -0.241i, 0.241i o 1.129i.
Tenga en cuenta que i = √(-1), i es el representante de un número complejo.
x = -1.129i, -0.241i, 0.241i or 1.129i.
Note that i = √(-1), i is the representative of a complex number.
Step-by-step explanation:
Pregunta correcta
¿Me pueden ayudar en esta ecuación biquadratica, por favor: 9x⁴ = —12x² - 6/9
Solución
9x⁴ = —12x² - 6/9
9x⁴ + 12x² + 6/9 = 0
multiplicar por 9
81x⁴ + 108x² + 6 = 0
Deje x² = y, entonces x⁴ = y²
81y² + 108y + 6 = 0
Resolviendo esta ecuación cuadrática
y = -0.0581 o y = -1.275
Recordemos, x² = y
x = ±√y
Si y = -0.0581
x = ± √(-0.0581) = ± 0.241i = 0.241i o -0.241i
Si y = -1.275
x = ± √(-1.275) = ± 1.129i = 1.129i o -1.129i
x = -1.129i, -0.241i, 0.241i o 1.129i.
Tenga en cuenta que i = √(-1), i es el representante de un número complejo.
¡¡¡Espero que esto ayude!!!
Correct Question
Can you help me in this biquadratic equation, please: 9x⁴ = —12x² — 6/9
Solution
9x⁴ = —12x² — 6/9
9x⁴ + 12x² + 6/9 = 0
multiply through by 9
81x⁴ + 108x² + 6 = 0
Let x² = y, then x⁴ = y²
81y² + 108y + 6 = 0
Solving this quadratic equation
y = -0.0581 or y = -1.275
Recall, x² = y
x = ±√y
If y = 0.0581
x = ±√(-0.0581) = ±0.241
If y = -1.275
x = ± √(-1.275) = ± 1.129i = 1.129i or -1.129i
Hence x = -1.129i, -0.241i, 0.241i or 1.129i.
Note that i = √(-1), i is the representative of a complex number.
Hope this Helps!!
Help Idk what this is ASAP
Answer:
A
Step-by-step explanation:
Reflected across the x-axis => but then moved up 4 units
this makes it in a way "flipped"
We see a's coordinates = (-3, 3)
b's coordinates = (-1, 1)
c's coordinates = (-2, 3)
Hope this helps!
Answer:
Choice A
Step-by-step explanation:
Step 1 - reflection across x-axis, affects y-coordinate only
(x, y) ⇒ (x, -y)Step 2- 4 units up, affects y-coordinate only
(x, -y) ⇒ (x, -y+4)So for the given points we have:
A(-3, 1) ⇒ A'(-3, -1+4)= A' (-3, 3)B(-1, 3) ⇒ B'(-1, -3+4)= B' (-1, 1)C(-2, 1) ⇒ C'(-2, -1+4)= C' (-2, 3)Choice A is correct
Which multiplication expression is equivalent to this?
Answer:
x+8/x^2 * 2x^2/2x+16
Step-by-step explanation:
please give answer please please please
Answer:
3/8
Step-by-step explanation:
for the number 1 on spinner a there are 4 possibilites.
same goes for 2,3 and 4. all in all, there is 32 posibilities total.
for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.
in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.
12/32=3/8
Answer:
Its 3/8
Step-by-step explanation:
How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?
Answer:
D = 13 units
Step-by-step explanation:
Using Distance Formula to find the length.
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]
D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]
D = [tex]\sqrt{25+144}[/tex]
D = [tex]\sqrt{169}[/tex]
D = 13 units
Answer:
i think its 13
Step-by-step explanation:
i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13
Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What fraction of the 400 counters is left in Ben’s bag? Give your fraction in its simplest form. (With workings out)
Answer:
2/5
Step-by-step explanation:
subtract 130,35,and 74 from 400 you will have 160/400 left then you find the greatest common and divide! and get 2/5
Answer: 2/5
Step-by-step explanation:
Ben gives 35 to Sonia, 130 to Phill, 75 to Lance, in total he gives away 240 counters. the fraction of the counters left in his bag would be 400-240 which is 160 and so his fraction would be 160/400 and this in simplest form would be 8/20 if you divide by 20 and then to simplify that you can divide by 4 to get 2/5
2) Calculate the distance between the two points, and round your answer
to the nearest tenth: (8,5).(-1,3)
Your answer
Answer:
6.78 me too I have to work at the same place and time to go home and see you soon I have to go home to sleep now but I'm
Help me please someone
Step-by-step explanation:
-2.21z + 1.82a - 3.38
I think this is the answer
write an equation to find the value of x:
Answer:
Since these angles are vertical their angle measures are equal so the equation is 7x - 9 = 110.
Answer:
x=17
Step-by-step explanation:
7x-9=110
7x=119
x=17
Find the range of values for which
x2–5x + 6 < 0
here, we are required to find the range of values for which
The range of values for which x²–5x + 6 < 0
is at; x < 3
x2–5x + 6 < 0
By solving the expression quadratically; we have;
x² -3x -2x +6 < 0
By factorization;
(x - 2)(x - 3) < 0
Therefore;
x < 2 and x < 3.The range of values for which x²–5x + 6 < 0
is at;
x < 3
Read more:
https://brainly.com/question/24434501
HELP ME ASAP.. MY TEACHER IS ASKING FOR THE ANSWER
Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
Please help! What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
A.) Perimeter = 46 cm, area = 131.25 cm2
B.) Perimeter = 126 cm, area = 972 cm2
C.) Perimeter = 46 cm, area = 972 cm2
D.) Perimeter = 126 cm, area = 131.25 cm2
Answer:
B
Step-by-step explanation:
4.5 x 6 = 27
4.5 x 8 = 36
27 x 2 = 54
36 x 2 = 72
54 + 72 = 126cm Perimeter/
27 x 36 = 972 cm2 Area/
One circular table has a diameter of 9 ft, and another circular table has a diameter of 20 ft. How much greater is the area of the larger table? Round to the nearest whole number.
Answer:
180
Step-by-step explanation:
20×9=180
Dadas as sequências identifique quais são PA e a sua razão (r): Lembre-se: para ser uma PA a diferença entre dois termos consecutivos são sempre os mesmos e é chamada de razão (r). A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2,...) C) (12, 48, 84, 120,...) D) (101, 202, 303, 404,...)
Answer:
A) 0
B) 1
C) 36
D) 101
Question:
Given the strings, identify which PA are and their reason (r): Remember: to be a PA the difference between two consecutive terms is always the same and is called the (r) ratio. A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2, ...) C) (12, 48, 84, 120, ...) D) (101 , 202, 303, 404, ...)
Step-by-step explanation:
PA is said to be the difference between two consecutive terms. The PA is always the same for these terms. It is also called the (r) ratio.
A) (1, 1, 1, 1, ...)
PA = 2nd term - 1st term = 3rd term - 2nd term
Using the 1st and second term
1st term = 1
2nd term = 1
PA = 1-1
PA = 0
B) (-1, 0, 1, 2, ...)
PA = 2nd term - 1st term = 3rd term - 2nd term
Using the 1st and second term
1st term = -1
2nd term = 0
PA = 0- (-1) = 0+1
PA = 1
C) (12, 48, 84, 120, ...)
PA = 2nd term - 1st term = 3rd term - 2nd term
Using the 1st and second term
1st term = 12
2nd term = 48
PA = 48 - 12
PA = 36
D) (101 , 202, 303, 404, ...)
PA = 2nd term - 1st term = 3rd term - 2nd term
Using the 1st and second term
1st term = 101
2nd term = 202
PA = 202 -101
PA = 101
Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2. (Input decimals only, such as 12.71, as the answer.) will pick brainleiest!
Answer:
75.36
Step-by-step explanation:
3.14 (a2 + ab)
Substitute a = 4 and b = 2 into the equation:
3.14 (4^2 + 4*2)
= 3.14 (16 + 8)
= 3.14 (24)
= 75.36
Answer:
75.36
Step-by-step explanation:
=> (3.14)(a²+ab)
Putting a = 4, b = 2
=> [tex](3.14)[(4)^2+(4)(2)][/tex]
=> [tex](3.14)(16+8)[/tex]
=> [tex](3.14)(24)[/tex]
=> 75.36
Please help me it takes do long to do this please
Answer:
I really don't know , I am in 7th grade
Answer:
x = 121°
Step-by-step explanation:
The lower left vertex and 115 are adjacent and supplementary, thus
left vertex = 180° - 115° = 65°
The angle round a point = 360°, so the top vertex is
360° - 304° = 56°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 65° + 56° = 121°
Find the area and perimeter of the composite shape..
Area: 68
Perimeter: 50
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Lia’s parents allow her to work a maximum of 15 hours per week overall. Lia’s goal is to earn at least $120 per week. Write a system of inequalities to represent this situation. Let r be the number of hours worked at the restaurant, and let y be the number of hours of yard work. Graph the inequalities. What is the maximum number of hours Lia can work at the restaurant and still meet her earnings goal? Explain. What is the maximum amount of money Lia can earn in 1 week? Explain.
Answer:
(a)
[tex]r\geq 5[/tex]
[tex]r+y\leq 15[/tex]
[tex]8r+12y\geq 120[/tex]
[tex]y\geq 0[/tex]
(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours
(d)Maximum Earning = $160
Step-by-step explanation:
Let r be the number of hours worked at the restaurant.
Let y be the number of hours of yard work,
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.
[tex]r\geq 5[/tex]
Since she does yard work, [tex]y\geq 0[/tex]
Lia’s parents allow her to work a maximum of 15 hours per week overall.
[tex]r+y\leq 15[/tex]
Lia’s goal is to earn at least $120 per week.
The restaurant, r pays $8 per hour
Yard work, y pays $12 per hour.
Therefore:
[tex]8r+12y\geq 120[/tex]
The system of inequalities that represent this problem is therefore:
[tex]r\geq 5[/tex]
[tex]r+y\leq 15[/tex]
[tex]8r+12y\geq 120[/tex]
[tex]y\geq 0[/tex]
(b)The graph of the inequality is attached below
(c)When the graph is plotted, the vertices of the feasible region are:
(5,10)(5, 6.7)(15,0)Where the first term is for the number of hours worked in the restaurant.
The maximum value of r possible is 15 from the three points.
Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.
(d)Maximum Amount Lia can earn in 1 Week
At (5,10), Earning=(5X8)+(10X12)=40+120=$160At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4At (15,0) Earning=(15X8)+(0X12)=$120Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.
Which equation can be solved by using this system of equations?
ſy = 3x5 – 5x + 2x2 - 10x+4
= 4x4 + 6x2 - 11
O 3x5 -5x3 + 2x2 - 10x +4-0
O 3,5 - 5x3 + 2x2 - 10x+4-4x4 + 6x3 - 11
3x5 +4x4 + x + 2x2 - 10x-7=0
+ 6x3 - 11=0
C
4x4
Corrected Question
Which equation can be solved by using this system of equations?
[tex]y= 3x^5 - 5x^3 + 2x^2 - 10x+4$ and y= 4x^4 + 6x^3 - 11[/tex]
Options
[tex](A)3x^5 -5x^3 + 2x^2 - 10x +4=0\\(B)3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 + 6x^3 - 11=0\\(C)3x^5 +4x^4 + x + 2x^2 - 10x-7=0\\(D)3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]
Answer:
(D) [tex]3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]
Step-by-step explanation:
[tex]y= 3x^5 - 5x^3 + 2x^2 - 10x+4\\y= 4x^4 + 6x^3 - 11\\$Therefore:\\3x^5 - 5x^3 + 2x^2 - 10x+4=4x^4 + 6x^3 - 11\\$Bring the terms on the right to the left\\3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]
Does the table represent a function?(Only 2 hours to answer!)
Answer: (a) Yes. The table is a function.
Step-by-step explanation:
In order to be a function, there cannot be any duplicate x-values.
In the given table, each x-value is different so this IS a function.
To celebrate his soccer team's last game of the season, Grayson is making 4 batches of
chocolate chunk brownies. If Grayson's recipe calls for 500 grams of sugar per batch, how
many kilograms of sugar should he buy?
multiply 500 by 4 to know how much is needed in grams first
500×4 = 2000
convert 2000grams to kilograms
since 1000grams make 1 kilograms....then divide 2000 by 1000
which would give you 2000/1000
answer = 2kg of sugar
Answer:
The answer is 2
Step-by-step explanation:
U.S. Population can be modeled by the function f(x)=165.6x^1.345, where f(x) is in thousand and x is the number of year after 1800. What is f(50) and what does it mean?
Answer:
f(50) = 31928.24 thousands
Therefore, it means that the US population in year 1850 is 31928.24 thousands
Step-by-step explanation:
Given the function;
f(x)=165.6x^1.345
Where;
f(x) is in thousand and
x is the number of year after 1800
To determine f(50), we will substitute x = 50 into the function of f(x);
f(50)=165.6(50)^1.345
f(50) = 31928.24 thousands
Since f(50) is the US population in year 1800+50 = 1850
Therefore, the US population in year 1850 is 31928.24 thousands
Which set of numbers does not contain 70
Answer:
No . Natural numbers are a subset of whole number. Negative numbers are entire numbers but not natural. And any set that contains it. For example, the set {1, 2.3, 2.236067977} or {-79000, pi, 2.236067977, sin(47)} or all real numbers, etc
Step-by-step explanation:
Can someone help me with this question please
Answer:
20
Step-by-step explanation:
1,2,5 have the same ratio as 4,8,20 and add up to 32
Answer:
First problem: 2sqrt(5)
Second problem: 20 ft
Step-by-step explanation:
First problem:
The geometric mean, x, of a and b is
a/x = x/b
Here you have 4 and 5, so the geometric mean, x, of 4 and 5 is
4/x = x/5
Cross multiply.
x^2 = 4 * 5
x = sqrt(4 * 5)
x = 2sqrt(5)
Second problem:
Ratio of lengths of sides is
1 : 2 : 5
Add all numbers, 1 + 2 + 5 = 8
The ratio of the longest side to the perimeter is
5 : 8
Let the longest side have length x.
5/8 = x/32
8x = 5 * 32
8x = 160
x = 20
Answer: 20 ft
(5 ^ 11)/(5 ^ ?) = 5 ^ 4
Answer:
200
Step-by-step explanation:
55 / 5x = 20
5x=1100
x=200
How many two-digit primes have both their digits non-prime?
6 5 4 3 2
Answer:
11, 13, 17, 31, 37, 71, 73, 79, 97 are the two digit numbers which remain prime even on interchanging the digits.
Step-by-step explanation:
change 07 10 to 12 hour clock
Answer:
7.10a.m.
Step-by-step explanation:
Thats it , byeee
Answer:
7.10am
Step-by-step explanation:
....................
Q1 Q2 – Harder brackets
Find an expression without brackets
for the area of each rectangle.
9
19
6
Q2
(x + 5)
0
13
area =
[2]
I
Answer : The area of given rectangle is p² - 7p
Step-by-step explanation :
Formula used to calculate the area of rectangle is:
Area of rectangle = length × breadth
Given:
Length = (p-7)
Breadth = p
Area of rectangle = length × breadth
Area of rectangle = (p-7) × p
Area of rectangle = p² - 7p
Therefore, the area of given rectangle is p² - 7p
What is the answer to this?
5x-7>4x+8
Answer:
x>15
Step-by-step explanation:
subtract 4x from both sides and add 7 to both sides
x-1 divided by X^3-3x^2-x+3
Answer:
1 / (x + 1)(x - 3).
Step-by-step explanation:
x^3-3x^2-x+3
= x^2(x - 3) - 1(x - 3
= (x^2 - 1)(x - 3)
= (x - 1)(x + 1)(x - 3)
So x - 1 divided by x^3 - 3x^2 - x + 3
= (x - 1) / (x - 1)(x + 1)(x - 3)
= 1 / (x + 1)(x - 3).
In the Kite Club, there are a total of 17 kids. There are 5 more girls than boys. Write two equations and graph to find the number of girls in the club.
Answer:
6 boys and 11 girls
Step-by-step explanation:
hello,
let 's note x the number of boys and y the number of girls, we can write two equations
"there are a total of 17 kids"
(1) x + y = 17
"There are 5 more girls than boys"
(2) y = x + 5
We can replace (2) in (1) it comes
x + x + 5 = 17
<=> 2x = 17-5 = 12
<=> x = 6
and then y = 11
So, there are 6 boys and 11 girls
graphs below
hope this helps
The number of girls in the club is 6
What is an Equation ?An equation is a mathematical statement formed from two algebraic expression when equated by an equal sign.
It is given that
Total Kids = 17
Let the number of boys be x
There are 5 more girls than boys
Let number of girls be y
y = x+5
The number of girls = x +5
x +y = 17
The graph is plotted and is attached with the answer.
The intersection of the graph gives us the total number of girls and boys
(6,11) is the point of intersection and therefore
Number of boys = 6
No. of girls = 11
To know more about Equation
https://brainly.com/question/10413253
#SPJ2