Answer:
The three quadratic equations are;
x² + 3 = 0
x² + 2·x + 1 = 0
x² + 3·x + 2 = 0
Step-by-step explanation:
1) A quadratic equation with no real solution is one with an imaginary solution such as one with a negative square root
We can write the quadratic equation as follows;
x² + 3 = 0
∴ x = √(-3) = √(-1) ×√3 = i·√(3)
Therefore, the equation f(x) = x² + 3, has no real root at f(x) = 0
2) A quadratic that has 1 real root is of the form;
(x + 1)² = 0
The root of the equation is x = -1 from (x + 1) = ((-1) + 1)² = 0²
Which gives;
(x + 1)² = (x + 1)·(x + 1) = x² + 2·x + 1 = 0
Therefore, the quadratic (x + 1)² = 0 has only one real root
3) A quadratic that has 2 real root is of the form;
(x + 1)·(x + 2) = 0
x² + x + 2·x + 2 = 0
x² + 3·x + 2 = 0
Therefore, the three quadratic equations are;
x² + 3 = 0
x² + 2·x + 1 = 0
x² + 3·x + 2 = 0
12. Which trig function has no zeros?
A. sine
B. cosine
C. tangent
D. none
Find the volume of the cylinder
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Surface Areas and Volumes.
We know that , Volume of the cylinder = πr^2h
here, r = 5 units and h = 6 units,
hence we substitute it,
==> Volume = 3.14*(5)^2*(6)
==> Volume = 3.14*25*6
==> Volume = 471 units^3
Hence the volume of cylinder is 471 cubic units.
2/7 into percents ??
Answer:
28.57142857 %
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100 .
28.57142857 %
Answer:
[tex]28.571429\%[/tex]
Step-by-step explanation:
1) To convert the fraction to a decimal, divide the numerator by the denominator.
[tex]2 \div 7[/tex]
2) Use long division.
[tex]0.285714[/tex]
3) To convert to a percent, multiply the decimal by 100.
[tex]0.285714 \times 100 = 28 .571429[/tex]
4) Add the percent sing.
[tex]28.571429\%[/tex]
Therefor, the answer is 28.571429%.
DONTBANSWERBIF DONT KNOW PLEASE solve this system by ELIMINATION. show all of your work
2x+3y= -11
8x -2y= -2
Answer:
x = -1 and y = -3
Step-by-step explanation:
The given equations are :
2x+3y= -11 ...(1)
8x -2y= -2 ...(2)
We need to solve the equations.
Multiply equation (1) by 4.
8x+12y= -44 ...(3)
Subtract equation (2) from (3).
8x+12y-(8x -2y) = -44-(-2)
8x+12y-8x +2y = -42
14y = -42
y = -3
Put the value of y in equation (2).
8x -2(-3)= -2
8x+6 = -2
8x = -8
x = -1
So, the values of x and y are -1 and -3 respectively.
Find the simple interest on Rs. 5000 for three years at the rate of 10% per
annum.
Answer:
$1,500
Step-by-step explanation:
I= Prt
I = 5000(0.1)(3)
I = 1500
A'B'C is a translation of ABC. what is the length?
Answer:
6 units
Step-by-step explanation:
A translation is a rigid body motion, meaning that it is a type of transformation that doesn't change the length of any sides, or it is the same as the original image. Since A'C' corresponds to AC, it must be 6 units as AC is 6 units.
Answer: 6 units
Step-by-step explanation:
ABC is a triangle.
A
B.
Diagram NOT
accurately drawn
6 cm
7 cm
60°
C С
Work out the length of the side AB.
Give your answer correct to 3 significant figures.
(3 marks)
O AB=
cm
i okk
Answer:
A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. Please select the best answer from the choices provided A B C D
Kenny has $500 in a savings account. The interest rate is 4%, compounded annually.
To the nearest cent, how much will he have in 1 year?
Answer:
After one year Kenny will have $520.
Step-by-step explanation:
Answer:
$520
Step-by-step explanation:
500(0.04) = kenny's annual interest rate return= 20
500+20= total dollars kenny has in a year
If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x minus 2, y + 2), what will be the coordinates of A prime?
On a coordinate plane, triangle A B C has points (negative 2, negative 2), (negative 2, negative 4), (2, negative 4).
(–4, 0)
(0, 4)
(0, 0)
(–2, 2)
Answer:
A i think
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices Q(-1,3), R(5,2), S(1, - 2), and
T(-5, -1)
Find the coordinates of the intersection.
Answer:0,0.5
Step-by-step explanation:
The coordinates of the intersection of the diagonals of the parallelogram will be (0, 0.50).
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The coordinates of the parallelogram are given below.
Q(-1,3), R(5,2), S(1, - 2), and T(-5, -1)
The equation of the QS diagonal line is given as,
(y - 3) = [(3 + 2) / (- 1 - 1)](x + 1)
y - 3 = - 2.5 x - 2.5
y = - 2.5 x + 0.5 ...1
The equation of the RT diagonal line is given as,
(y - 2) = [(2 + 1) / (5 + 5)](x - 5)
y - 2 = 0.3 x - 1.5
y = 0.3 x + 0.50 ...2
From equations 1 and 2, then we have
0.3 x + 0.50 = - 2.5 x + 0.50
x = 0
Then the value of y is calculated as,
y = 0.3 (0) + 0.50
y = 0.50
The coordinates of the intersection of the diagonals of the parallelogram will be (0, 0.50).
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ2
A sequence starts 0, 5, . . .
Give a rule the sequence could follow and the next 3 terms for that rule.
Answer:
The rule is : +5
Step-by-step explanation:
0, 5, 10 ,15 ,20
find the HCF and LCM of 150 and 225
Answer:
The LCM of 150 and 225 is 450.Steps to find LCM
Find the prime factorization of 150
150 = 2 × 3 × 5 × 5
Find the prime factorization of 225
225 = 3 × 3 × 5 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 3 × 3 × 5 × 5
LCM = 450
Look at the methods to find the HCF (150, 225)HCF of 150 and 225 by Prime Factorization
HCF of 150 and 225 by Listing the Common Factors
Method 1: Find HCF of 150 and 225 by Prime Factorization
Represent 8 and 14 as a product of its prime factors.
Prime factorization of 150 is 2 × 3 × 5 × 5
Prime factorization of 225 is 3 × 3 × 5 × 5
The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.
HCF is the product of the factors that are common to each of the given numbers.
So, HCF of 150 and 225 is 3 × 5 × 5 = 75
Method 2: Find HCF of 150 and 225 by Listing the Common Factors
The factors of 150 and 225 are shown below.
Step-by-step explanation:
Hope it is helpful.....
PLEASE HELP BRO ILL MARK BRAINLEST
What operation would you do to balance this equation.
In other words, what would you put in the clouds.
a-4 = 10
a
add 4 to both sides
subtract 4 to both sides
multiply 4 to both sides
divide 4 to both sides
Answer:
add 4 to both sides
Step-by-step explanation:
a-4+4=10+4
a=14
WILL MARK BRAINLIEST!
which quadratic function best fits this data?
x y
1 350
2 539
3 678
4 875
5 690
6 502
A. y=−56.80x2+437.91x−65.5
B. y=−56.80x2+437.91x+65.5
C. y=56.80x2−437.91x+65.5
D. y=−56.80x2−437.91x+65.5
Answer: A
Step-by-step explanation: Took the test |
\/
The quadratic equation that best fits this data would be A.
[tex]y=-56.80x^2+437.91x-65.5[/tex]
What is a solution for a quadratic equation?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0
This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
The given data is follows as;
x y
1 350
2 539
3 678
4 875
5 690
6 502
The quadratic equation that best fits this data
A. [tex]y=-56.80x^2+437.91x-65.5[/tex]
Learn more about solutions of a quadratic equation here:
https://brainly.com/question/15582302
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Data yang sesuai dengan diagram dibawah ini adalah ...*
a. 123456
b. 24466633331111
c. 12345
d. 112222333334445
please help mee
Jawaban:
D. 1122223333334445Penjelasan dengan langkah-langkah:
Sumbu y = Frekuensi = berapa banyak pekerjaan
Sumbu x = Jenis Pekerjaan = pekerjaan nomor n
(maka)
Ada
2 buah pekerjaan nomor 1 = 11
4 buah pekerjaan nomor 2 = 2222
6 buah pekerjaan nomor 3 = 333333
3 buah pekerjaan nomor 4 = 444
1 buah pekerjaan nomor 5 = 5
maka hasilnya
1122223333334445 (d) ✅_____________
#Jenius - kexcvi
Nyasar soalnya brainly di indo lagi mode ujian haha
HELP MATCHING EACH PROPORTION WITH ITS SOLUTION
no puedo ver el problema
Tickets to a play cost $10 at the door and $8 in advance. The theatre club wants to raise at least $800 from the sale of the tickets from the play.
Write an inequality for the number of tickets the theatre club needs to sell.
If the club sells 40 tickets in advance, how many does it need to sell at the door to reach its goal?
Use x to represent the number of tickets sold at the door. Use y to represent the number of tickets sold in advance.
Answer:
Hi
Step-by-step explanation:
PLEASE HELPP! geometric probabilities
At the rodeo, the Broncos riding event takes place in a large dirt ring witch has a diameter of 12 meters. What is the ring's area?
Answer:
approx. 113.1
Step-by-step explanation:
Area formula: A= pi* (r^2)
12/2 = 6, so r=6
A= pi * (6^2)
A= pi * (36)
A = approx. 113.1
Write an equation in slope-intercept form of the
line with slope -1/3 that contains the point (-3,-5).
if u have 6 pack of juice and its is 3.60 what will it be?
Answer:
$21.60 will be the total if each juice is $3.60
$.60 per juice if the whole pack is $3.60
Step-by-step explanation:
Answer the question to get marked as brainliest!!!
Answer:
53 degrees
Step-by-step explanation:
If r is 25 and s is 102, and if there are 180 degrees in a triangle, then you can just add to get 53.
Answer:
53
Step-by-step explanation:
Hello There!
So in this problem they give us two angles of a triangle and want us to find the missing angle
Remember the sum of all of the angles in a triangle is 180
So to find the missing angle we subtract the given angles from 180
180-25-102=53
so we can conclude that the answer is 53
Write an exponential regression equation for the data, rounding all values to the nearest thousandth.
Please help I will mark brainliest
y= 5x-9
domain = {1, 3, 7}
whats the range?
Answer:
Y= 5 - 9
Domain: {1,3,7}
Range: 6
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range, In this case the data range is 7- 1 = 6. So the range is 6.
I have answered have a good day.
What is the solution to the equation below?
14x=12
Answer:
Step-by-step explanation:
hello :
14x=12
x=12/14
x=6/7
I need help plis
thanks
Answer:
y = -3x - 1
Step-by-step explanation:
Let he equation of the line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Slope 'm' of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through (-2, 5) and (2, -7) will be,
m = [tex]\frac{-7-5}{2+2}[/tex]
m = -3
Equation of the line will be,
y = -3x + b
Since, this line passes through (-2, 5),
5 = -3(-2) + b
5 = 6 + b
b = 5 - 6
b = -1
Therefore, equation of the line will be,
y = -3x - 1
Nathan will add -7 to -5 then multiply the sum by -2.
Which product should he find?
4
24
-4
-24
Answer:
its positive 24
Step-by-step explanation:
-7+(-5)= -12
-12×(-2)= 24
136 oz is how many pounds
A.6.8 pounds
B.8.5 pounds
C.1088 pounds
D.2,176 pounds
Answer:
B 8.5 Pounds
Step-by-step explanation:
I hope this helps!
Answer: 8.5
Step-by-step explanation:
16 ounces is a pound
so we divide 136 by 16 and get 8.5
During a sale a shop allows 20% discount off the marked price of clothing. What will a costomer pay for a dress with marked price of $30?
Answer:
Customer will pay $24 for a dress.
Step-by-step explanation:
Marked price of clothing in a shop = $30
Discount on the clothing = 20% off the marked price
Selling price of the clothing = Original price - discount
= $30 - (20% of $30)
= $30 - [tex](\frac{20}{100}\times 30)[/tex]
= $30 - $6
= $24
Therefore, customer will pay $24 for a dress.
Tell whether the table represents a linear or an exponential function. Then write the function.
х
-3
-2
- 1
0
1
y
64
48
32
16
0
The table represents a(n)
function.
13
y =