Answers
The discriminant is 60 and the equation has two real roots with parabola intersecting x - axis at two points.
We are given that the equation is [tex]-3x^{2} +6x +2 = 0[/tex]
The formula for discriminant is given by
D = [tex]{b^{2} -4ac}[/tex] where the equation is of the form [tex]ax^{2} + bx + c = 0[/tex]
Therefore,
a = -3
b = 6
c = 2
Putting these values in formula of discriminant, we get
D = [tex]{6^{2} - 4(-3)(2) }[/tex]
D = 36 +24
D = 60
For the quadratic equation [tex]ax^{2} + bx + c = 0[/tex] , the expression D = [tex]b^{2} - 4ac[/tex] is called the discriminant.
The value of the discriminant shows how many roots does the quadratic equation has:
If D > 0 then the quadratic equation has two distinct real roots.If D = 0 then the quadratic equation has one repeated real root.If D < 0 then the quadratic equation has no real roots.Now, since D = 60 > 0, we can say that the equation has two real roots and therefore, the parabola is intersecting the x-axis at two places.
To learn more about discriminant of quadratic equations, refer to:
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Related Questions
someone please please help with this I would really appreciate it !
Answers
Answer:
I think this is how the response is meant to be, do you need workings to solve AB aswell?
Cuantas cifras se emplean para numerar las 48 paginas de una revista?
Answers
Answer:
Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.
Step-by-step explanation:
Convert degrees to radians
Show all the work
2. 45
3. 90
Answers
Answer:
[tex]\frac{\pi }{4}[/tex] and [tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
To convert from degrees to radians
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then
(2)
radian measure = 45 × [tex]\frac{\pi }{180}[/tex] ( cancel 45 and 180 )
= [tex]\frac{\pi }{4}[/tex]
(3)
radian measure = 90 × [tex]\frac{\pi }{180}[/tex] ( cancel 90 and 180 )
= [tex]\frac{\pi }{2}[/tex]
Help please, it's for a test due at 11:30 est; Determine if (x-6) is a factor of f(x)=2x^4-3x^3+4x-3. Explain.
Answers
Answer:
if we get 0, when we plug the value of f(x) as 6 in f(x) then (x-6) is a factor of f(x)
f(x) = 2x⁴ - 3x³ + 4x - 3f(6) = 2×6⁴ - 3×6³ + 4×6 - 3f(6) = 2592 - 638 + 24 - 3f(6) = 2616 - 641f(6) = 1975f(6) is not equal to 0
then (x-6) is not a factor of f(x) = 2x^4-3x^3+4x-3
the volume in cm³, of a cube of edge is 3cm is
Answers
Answer:
27 cm^3
Step-by-step explanation:
edge of cube = a = 3cm
Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3
sorry if im wrong plz dont report
(hope this helps can i plz have brainlist :D hehe)
Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.
Answers
Answer:
Question: Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.
Answer:
SA = 2lw+2lh+2hw
SA = 2 X 12 X 5 + 2 X 12 X 8 + 2 X 8 X 5
SA = 392
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Please thank me on my profile if you found my answer here helpful!
What is the solution to the system of equations above?
Answers
Answer:
(-2,-2)
Step-by-step explanation:
the x is -2
also the y is -2
A bank offers the following loans:
Bank A Bank B
$105,000
30-year fixed
5.875%
1.25 discount points
M = $621.11
$105,000
30-year fixed
6%
0 discount points
M = $629.53
What is the break-even point for the loans? (4 points)
about 7 years
about 10 years
about 13 years
about 16 years
Answers
Answer:
It is bank A and bank B
about 10 years
What is the solution of the system of equations?
{7/2x−1/2y=9/2
{3x−y=5
Enter your answer in the boxes.
Answers
HELP PLS ASAP PLS PLS DUE SOON
Answers
Answer:
blank 1: 63 degrees
heart if it helped!
find total surface area of cylinder is R = 7 cm and H = 10 cm
Answers
Step-by-step explanation:
Given radius , r = 7cm
and height , h = 10cm
Surface Area of Cylinder
[tex] = 2\pi {r}^{2} + 2\pi \: rh \\ = 2\pi( {7}^{2} ) + 2\pi(7)(10) \\ = 2\pi(49) + 2\pi(70) \\ = 98\pi + 140\pi \\ = 238\pi {cm}^{2} [/tex]
I will leave it in terms of pi as i am not sure how you want to leave your answer as.
Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.
Answers
Answer:
Is that simultaneous equation
You can ask if something is not clear or you don't understand
The solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=x-1 ...(1)
2x+y=8...(2)
By using substitution method we solve the value of x and y.
Substitute y value in equation (2)
2x+x-1=8
Combine the like terms
3x-1=8
Add 1 on both sides
3x=9
Divide both sides by 3
x=3
Now plug in x value in y equation.
y=3-1
y=2
Hence, the solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.
To learn more on Equation:
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Create an equation for a different linear function that has twice the rate of change and the same initial value as the one represented by the table
Can someone help me please
No links :/ .
Answers
The function of the original equation (the data table) is y=1/2x+3.5
So 1/2 times 2 is 1 and the y intercept (the initial value) is the same! I hope I helped
identify the equation whose vertical graph is a vertical line.
a) y=2x-1
b) y=2
c) x=2
Answers
Answer:
c
Step-by-step explanation:
If all shoppers get 10% off their purchase today, what is the equation can be used to calculate the portion of the original price?
Answers
Answer:
Step-by-step explanation:
Let the original cost be x
The shoppers get 10% of the original price
Therefore the equation to find final cost =
Discount: 10x/100
Final Cost: 90x/100
Mark brainliest for further answers :)
Can someone help me with this bell work, it is due at 2:15. It is attached!
Answers
3/4-1/5 please i give branliest
Answers
Answer:
0.55
Step-by-step explanation:
Answer:
11/20
(Result in decimals: 0.55)
Step-by-step explanation:
3/4 - 1/5
=
3 × 5 1 × 4
____ - ____
4 × 5 5 × 4
=
15/20 –4/20
=
15 – 4
_____
20
=
11/ 20
Hope I helped!!!!! Maybe Brainliest
Help me pls ASAP find A
Answers
Answer:
the answer is (3,2) because it show it
Please help me with the right Awnser
Answers
Answer:
40 m2
Step-by-step explanation:
96m² is your Answer:
Solution given:
base[b]=12m
height[h]=8m
we have
Area of parallelogram=b×h=12×8=96m²
Your help will be much appreciated. 30 points + brainliest.
find exact value of each of the following using half angle formulas
Answers
Answer:
gimme a sec
Step-by-step explanation:
Answer:
a. -.259
b. 3.732
c. -.259
d. 3.72972972973
Step-by-step explanation:
3x+4=20 solve the following question
Answers
Answer:
5.33
Step-by-step explanation:
3x=20-4
3x=16
x=5.33
Answer:
x = 16/3
Step-by-step explanation:
3x+4=20
3x = 20 - 4
3x = 16
x = 16/3
Which of the following is an algebraic expression that represents the phrase X increased by 20
Answers
Answer:
The expression means that X+20
Phill thinks he had merited the angles blew correctly. Triangle placed on top of a straight line, 50 * at the top left of the triangle, 90 at the bottom left of the triangle, 40* at the bottom right
Answers
help this is khan academy
Answers
Answer:
20
Answer:
20
Step by step:
v = l × w × h
v = 2 × 2× 5
v = 4 × 5
v = 20
Natalie was wrapping a gift for a birthday party
and she measured and found she had 3 1/6 yards of
ribbon. After finishing she had 1 3/4 yards of ribbon
remaining. How much ribbon did she use?
Answers
Answer:
1 5/12 yds
Step-by-step explanation:
3 1/6 - 1 3/4 = 38/12 - 21/12 = 17/12 = 1 5/12 yds
questions 9 & 10 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
Answers
Answer:
9: one solution
10: 121
Step-by-step explanation:
Hope that helped!! maybe brainliest?
edit: so sorry 9 is actually two solutions not one
help please i’m confused
Answers
Answer:
7/10 pi (radians)
Step-by-step explanation:
The formula for sector area is (angle * r^2)/2
140pi = angle*r^2/2
multiply both sides by 2
280pi = angle * r^2
r = 20 cm (substitute)
280pi = angle * (20)^2
280pi = angle * 400
Divide both sides by 400
7/10 pi = angle
Please Help! Geometry
Answers
Answer:
x =14, y = 38
Step-by-step explanation:
Quadrilateral JKLM is inscribed in a circle, so it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
[tex]5x \degree + 110 \degree = 180 \degree \\ \\ 5x \degree = 180 \degree - 110 \degree\\ \\ 5x \degree = 70 \degree\\ \\ x = \frac{70}{5} \\ \\ x = 14 \\ \\ 2y \degree + 104 \degree = 180 \degree \\ \\ 2y \degree = 180 \degree - 104 \degree\\ \\ 2y \degree = 76 \degree \\ \\ y = \frac{76}{2} \\ \\ y = 38[/tex]
The following data points represent the number of holes that moths ate in each of Grandma Marion's
dresses.
7,8,8, 5, 7,8
Using this data, create a frequency table.
Number of holes
Number of dresses
5
6
7
8
Answers
Answer:
1, 0, 2, 3
Step-by-step explanation:
Answer:
1, 0, 2, 3
Step-by-step explanation:
A international company has 26,700 employees in one country. If this represents 31.6% of the company's employees,how many employees does it have in total
Answers
Answer:
79762
Step-by-step explanation:
Total number of employees in one country=26,700
Let X= Total number of the company's employees in all countries
31.6% of ( Total number of the company's employees in all countries)=26,700
=[( 31.6/100) × X)] =26,700
Making X subject of the formula we have
X= [(26,700)/( 33.6/100)]
= [26800/0.336]
= 79762 ( approximately)
Hence, Total number of the company's employees in all countries is 79762