Find the discriminant and describe the nature of the root(s) of the equation: 6x2 - 2x - 4 = 0)

Answers

Answer 1

Answer:

discriminant= 100, nature of the root= real numbers.

Step-by-step explanation:

discriminant formula: b^2-4ac

-2^2-4(6)(-4)

4+96=100.


Related Questions



What does point G represent in the context of this situation?

Answers

Answer:

The famous point G that everyone enjoys... of course it represents a point of a graph! What else could it be? G stands for graph.

Darren got 39 out of the 52 questions correct on a test. What percent of the questions did he get correct?

Answers

Answer:

75%

Step-by-step explanation:

Here are step-by-step instructions showing you how we calculated 39 out of 52 as a percentage:

The first step is to divide 39 by 52 to get the answer in decimal form:

39 / 52 = 0.7500

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.7500 * 100 = 75.00%

A solid object where the radius of bse is 7cm and height is 12cm​

Answers

Answer:

A cylinder with a base radius of 7cm and a height of 12 cm.

Step-by-step explanation:

A solid object =7cm

height=12cm

Now,

we know that l = b×g

=12×7

= 84

Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 6, and 2
Choose the correct answer below.
O A. 12 + x
OB. 6x + 2
O C. (6+2)x
OD. 2x + 6

Answers

Answer:

B: 6x+2

Step-by-step explanation:

hope this helps :)

Im so confused of what to do?
if you're good at maths please help
with steps​

Answers

Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

pls help (written response pls)

Answers

Answer:

It would be Number of Hours

Step-by-step explanation:

The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"

Hope this Helps :)

What is the measure of the angle mentioned in the picture below:

In the figure below, what is the measure of
70deg
125deg
55deg
180deg

Answers

Answer:

70

Step-by-step explanation:

since the left and right sides are equal length the left and right angles are 55 degrees. and since a triangle adds up to 180 degrees

180-55-55 = 70

I think you can also use sin cos tan to solve this but this way is much easier

Question 3
If f(x) = -2 and g(x)= 3x2 +2x - 6, find (+g)(x).

A. 3x+3x+4
B. 3x2 +x-8
C. X2 +12
D. 3x2 + x - 3

Answers

Answer:

Step-by-step explanation:

For example, it is more usual to talk about polynomials of degree 6 than to ... Given the polynomials f (x)=3x3 +7x2−5x + 8, g(x) = −x5 + 6x4−2x3+ x−3 ...

Find f(2) and f(3).
f(1) = 3
f(n) = 7f(n = 1)

Answers

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

3
3
3
3
3
I pentagon
2 pentagons
3 pentagons
Represent the relationship using a table. Complete the table below.
Number of Perimeter,
Pentagons, X
1
Ordered
Pair (x,y)
2
3
(Simplify your answers.

Answers

The relationship between the number of pentagons and the perimeter will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

From the diagram in the question, each side of a pentagon has length [tex]3units[/tex].

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, [tex]x[/tex], and the perimeter, [tex]y[/tex], as follows

For [tex]x=\text{number of sides}=1[/tex]

[tex]y=\text{perimeter}=3\times 5=15units[/tex]

For [tex]x=2[/tex]

[tex]y=3\times5+3\times5-1\\=15+15-1\\=29units[/tex]

For [tex]x=3[/tex]

[tex]y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units[/tex]

The relationship will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

Learn more about perimeter here: https://brainly.com/question/17756657

Mr. Johnson is purchasing chicken for a family
BBQ. He purchases 7.8 pounds of chicken that costs
$3.60 per pound. How much change should Mr.
Johnson receive if he gives the cashier a $50 bill?

Answers

21.92 dollars w/o tax
Answer: 21.92 just times 7.8 buy 3.60

What is the area, in square centimeters, of the trapezoid below?

Answers

Answer:

36 cm²

Step-by-step explanation:

1/2 × (8.9+5.5) ×5.5

1/2×14.4×5.5

1/2×72

36 cm²

what is the set of all the output values in a function called?

Answers

Answer:

Set Y I’m pretty sure

Step-by-step explanation:

I need help with this Graph!

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary). (-6,3) and (3, -9)

find leg number 1 and leg number 2 and the distance​

Answers

Answer:

Step-by-step explanation:

The distance between two points (-6, 3) and (3, -9) is 10.81 units.

We have a graph a right triangle with the two points A(-6,3) and B(3, -9) forming the hypotenuse.

We have find the distance between the two points using only the sides of the right triangle.

What is the formula to find the distance between the two points on Cartesian plane ?

The distance between two points -

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

According to the question, we have -

Coordinates of Point A = (- 6, 3)

Coordinates of Point C = (3, -9)

Now -

Coordinates of Point B will be (- 6, -9) [formed by the intersection of sides].

Distance AB -

[tex]AB = \sqrt {\left( {-6 - (-6) } \right)^2 + \left( {3 - (-9 } \right)^2 }[/tex]  = 6 units

Distance BC -

[tex]BC = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {-9 - (-9 } \right)^2 }[/tex] = 9 units

Using the Pythagoras theorem -

[tex](AC)^{2} =(AB)^{2} +(BC)^{2}[/tex]

[tex](AC)^{2} =[/tex] 36 + 81

AC = [tex]\sqrt{117}[/tex] = 10.81

Hence, the distance between two points (-6, 3) and (3, -9) is 10.81 units.

To solve more questions on Distance formula, visit the link below -

brainly.com/question/12662141

#SPJ6

find the slope of the line 2y+5x=3​

Answers

Answer:

-5/2

Step-by-step explanation:

First, you want to get the equation into the Y=mx+b formula, and my m will be the slope of the line.

So in our case, we get Y= -5/2x+3/2 so my slope is -5/2

What is the difference between log(x/y) and log(x)/log(y)?

Answers

Log(x/y)= x/y times log, log(x)/log(y)= log times x/log times y

WHO CAN HELP ME ON THIS? Due soon!

Answers

The other one will. Be 20

Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5. 9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest? a. $11,236. 22 b. $9,710. 00 c. $1,526. 22 d. $2,942. 37.

Answers

Answer:

the answer is 10,0000

Step-by-step explanation:

I FORGOT TO PUT THE ANSWERS SORRY PLEASE HELP​

Answers

Answer:

Step-by-step explanation:

Circumscribed means written around the outside. -scribe means writing and

think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.

So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).

Circle A is inscribed in triangle RST.

Answer:

Inscribed

Step-by-step explanation:

What is polygon inscribe?

When a polygon is inscribed inside another polygon it is called polygon inscribe.Here Circle A is drawn inside ∆RST so it's inscribed.

Estimate the product. Round each factor to the nearest whole number, and then multiply.

0.9 × 1.084

Answers

0.10 x 2.000 = 0.2

0.9 = 0.10

1.084=2.000

MARKING BRAINLIEST PLEASE HELP

Answers

5 hours IS THE AWSER CHOSE 5

What is the area of a room that is 3 3/4 yards long by 3 1/3 yards wide?

Answers

Answer:

Depends on what your question asks for (in mixed or improper form) your answer would be: 150/12 yards or 12 1/2 yards

brainliest please?<3

Step-by-step explanation:

To find the area, first convert the mixed numbers to improper form:  

3 3/4 = 15/4 & 3 1/3 = 10/3

Now multiply them together:  

15/4 x 10/3  

= 150/12

Answer: 12.5

Step-by-step explanation:

3 3/4 in improper form is 15/4. 3 1/3 in improper form is 10/3.

15   10       150

==x == =  ====             150 divided by 12 is 12.5

4     3         12

7. I am currently 5 times as old as my daughter. In 6 years from now. I will be three times as old she will be then. Find our current ages.


i will mark that answer as brainlist who's answer was correct and can send me ASAP

Answers

Answer:

Daughter is 6 , mother is 30.

Step-by-step explanation:

f(x)=1/2(x-2)(x+3)^3

Answers

Answer:y=

1

2

x4+

7

2

x3+

9

2

x2+

−27

2

x−27

Step-by-step explanation:

What is the solution for x if

Answers

Answer: the answer is B which is x < -1

Step-by-step explanation: trust me bro and happy holidays :)

Answer:

[tex]\huge\boxed{B)\ x<-1}[/tex]

Step-by-step explanation:

Solve this inequality the same way you would solve an equation: by isolating x.

Simply subtract 6 from both sides to get -4x > 4.   Then merely divide both sides by -4 to get x < -1.  (Notice that when dividing by a negative number, you must flip the sign of the inequality.)

Hope it helps :)

Find the inverse function. f(x) = Vx - 1+4​

Answers

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) =  (x - 4)³ + 1.

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]

y =  [tex]\sqrt[3]{x-1} + 4[/tex]

Calculate the inverse of the function as shown below,

Replace x with y,

x = [tex]\sqrt[3]{y-1} + 4[/tex]

x - 4 = [tex]\sqrt[3]{y- 1}[/tex]

Cube both sides,

(x - 4)³ = y - 1

y = (x - 4)³ + 1

Thus, f⁻¹(x) =  (x - 4)³ + 1

To know more about function:

https://brainly.com/question/5975436

#SPJ2

Evaluate the expression when b=-4 and y=2.
2y-b

Answers

The correct answer is 8
2y-b
2(2)-(-4)
4+4
8

Which congruence criteria is met in the following scenario?
SAS
SSS
AAS
HL
ASA

Answers

SAS Because order will always matter and in this case the order will result in Side Angle Side Congruence Theorem

It takes me 12 minutes to run 2 kilometers. How long will it take me to run 10,000 meters?

Answers

60min or 1 hour

Because 2km is equal to 2000m
Therefore you multiply 12 min by 5 (because 2000m x 5 is 10000m)

Lin is playing hand ball and wants the ball
to bounce off wall CB and land at D.
Where on the wall should she aim if she's
standing at point A?

Answers

Lin should aim the ball at 7.8 feet away from point  B

From the question (see attachment), we have the following equivalent ratios:

[tex]AB : BE = DC :CE[/tex]

This is so because triangles ABE and DCE are similar triangles.

Such that:

[tex]BE + CE = 20[/tex]

[tex]AB = 16[/tex]

[tex]DC = 16 + 9 = 25[/tex]

So, we have:

[tex]AB : BE = DC :CE[/tex]

[tex]16 : BE = 25: CE[/tex]

Make CE the subject in [tex]BE + CE = 20[/tex]

[tex]CE=20 - BE[/tex]

Substitute 20 - BE for CE in [tex]16 : BE = 25: CE[/tex]

[tex]16 : BE = 25: 20 - BE[/tex]

Express as ratio

[tex]\frac{16 }{ BE} = \frac{25}{ 20 - BE}[/tex]

Cross multiply

[tex]16(20 - BE) = 25BE[/tex]

Open bracket

[tex]320 - 16BE = 25BE[/tex]

Collect like terms

[tex]25BE + 16BE = 320[/tex]

[tex]41BE = 320[/tex]

Divide both sides by 41

[tex]BE = 7.8[/tex]

Hence, she should aim at 7.8 feet away from point  B

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.

Step-by-step explanation:

Other Questions
The two legs of a triangle are 300m ang 150m, respectively. The anle opposit the 150m side is 26 degress. What is the third side? Determine the intercepts of the line. which characteristic would concern an auditor about the risk of material misstatements arising from fraudulent financial reporting Help pls Bob is a funeral director. What might be one task that Bob performs as part of his job?Question 9 options:arranging for daily care for an elderly personrunning a local food bank that delivers mealsplacing an obituary in the local newspaperorganizing a community roadside clean up Leo's hair is longer than Wes's hair. Wes's hair is longer than Ella's hair. Whose hair is longer Please help me find the height of 302 after some seconds? Can someone please help me with number 10 What is the role of inhibition in PNF stretching?Inhibition is the opposite of the gate control theory. Inhibition contracts the muscle and relaxes the opposing muscle group.Inhibition relaxes all of the muscle groups. Inhibition relaxes the muscle and contracts the opposing muscle group. An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 . there are 4 factors in the personal safety protocols What positive acute angle is/4related to? At the beginning of a trip, the tank of Dianas car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank. At the end of the trip, Diana added 8 gallons of gasoline to the tank. Let the capacity of the tank of Dianas car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form. How has the distribution of the population changed in the 20th century? A process or set of rules to be followed in calculations or other problem-solving operations, especially by a computerQuestion 14 options:MaliciousAlgorithmStaticWeb Browser - The width of a rectangle is 4x 1 feet and the length is 2x + 6 feet. Find the perimeter of the rectangle. 2000 is invested in a bank with 3% interest per annum. work out the amount of money in the account after 2 years Hola como estas quiero que seamos amigos (translate in english) Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy? the image on the right was prooduced by a computer. it shows a complex molecu;e consisting of many atoms. what would be an advantage of using a computer to create a model like this, instead of building it by hand? HELP ME PLEASE I NEED HELPP