Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quadractic equation tell about the solutions to 3x^2-6=2x?

Answers

Answer 1

Answer:

(a) discriminant is positive, 76

(b) the above tells you there are two real roots

Step-by-step explanation:

the discriminant is 'b² - 4ac'

3x² - 2x - 6 = 0  ∴ a = 3, b = -2, c = -6

(-2)² - 4(3)(-6) = 4 + 72

Answer 2

(a) The discriminant of the quadratic equation is positive, 76.

(b) The quadratic equation tells you there are two real roots.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.

Given that the quadratic equation 3x²-6=2x.

The discriminant Of the quadratic equation is calculated by the formula below:-

D = b² - 4ac

3x² - 2x - 6 = 0  ∴

a = 3, b = -2, c = -6

Put the value of the coefficient to get the value of the discriminant.

D = (-2)² - 4(3)(-6) = 4 + 72 = 76

Therefore, the discriminant of the quadratic equation is positive, 76, and the quadratic equation tells you there are two real roots

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Related Questions

Which fee could decrease an investor's return on investment when the investor may not have bought or sold any stock for a significant period of
time?
OA front-end load​

Answers

Answer: Inactivity fee

Step-by-step explanation:

The rest of the options are not given but there can only be one correct answer to this question and that's the answer above.

Brokerages earn a return when they trade financial instruments for investors as they take a commission from this. When an investor has not traded for a while, brokerages don't get to make earnings and will be holding the account with minimal rewards.

To compensate for this, they charge an inactivity fee that will ensure that they get some form of earnings for managing the account and not receiving commission.

Answer:

Inactivity fee

Step-by-step explanation:

Grace and her brother need $400 to go to band camp. Their parents have agreed
to help them earn money by paying them $25 each time they mow the lawn
and $10 for each hour they babysit their younger brother. They will have to do a
combination of both chores to earn the money.
Select the equation that represents the number of lawns they can mow, m, and
hours they can babysit, b, to earn $400.
M. 10m + 25b = 400
P.
10m - 25b = 400
R. 25m + 10b = 400
S. 25m - 10b = 400

Answers

Answer:

R. 25m + 10b = 400

Step-by-step explanation:

25m: $25 for time the mow the lawn

10b: $10 for every hour that they babysit their younger brother

400: They need $400 in total

+ : You need to add what they made for mowing the lawn and for babysitting.

Which measurement is equivalent to 1 pound?

16 ounces

12 ounces

8 ounces

4 ounces

Answers

1 pound is equivalent to 16oz

growth or decay pls answer

Answers

Answer:

exponential decay because the base is less than one

Step-by-step explanation:

Leo has a total of 72 letters. He has opened 63 of them so far. How many letters does Leo have left to open?​

Answers

Answer:

9

Step-by-step explanation:

72 - 63 = 9

Since it's asking how many letters he has left after opening 72 so your basically subtracting. Hope this helps

Answer:

9

Step-by-step explanation:

9  BECAUSE IF U ADD 9INE TO 63 YOU GET 72


What is 52% of 25? i got 13 is that correct??

Answers

Answer:

Yes that is correct

Step-by-step explanation:

52  x 25 = 1,300

1300/ 100= 13

5x+y=-19 5x-4y=-24


Help pls​

Answers

Answer:

x= 4 and y=1

Step-by-step explanation:

to solve this you could either use substitution or elimination. elimination would be best her because both 'x's have the same number. subtract the equations from eahh other and solve for y, then substitute the y and solve for x

The system of equations are solved and x = -4 and y = 1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve the system of equations:

5x + y = -19 (Equation 1)

5x - 4y = -24 (Equation 2)

Let's use the elimination method in this case.

Step 1: Multiply Equation 1 by 4 and Equation 2 by 1 to eliminate y.

4(5x + y) = 4(-19)

5x - 4y = -24

20x + 4y = -76 (Equation 1 multiplied by 4)

5x - 4y = -24 (Equation 2 multiplied by 1)

Step 2: Add the equations together to eliminate y.

20x + 4y + 5x - 4y = -76 - 24

25x = -100

x = -100 / 25

x = -4

Step 3: Substitute the value of x into either Equation 1 or Equation 2 to solve for y.

5(-4) + y = -19 (Using Equation 1)

-20 + y = -19

y = -19 + 20

y = 1

Hence , the solution to the system of equations is x = -4 and y = 1

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SOME ONE PLZ HELPPPPPPP
What is the 9th term for the following sequence?1, 4, 7, 10, …

Answers

Answer:

25

Step-by-step explanation: c:

Here is the order 1, 4, 7, 10, 13, 16, 19, 22, 25, 28

PLEASE HELPPP WILL GIVE BRAINLIEST!!!

Answers

Answer:

(9,18)

Step-by-step explanation:

7. Find the area of this trapezoid. Area =
square units. Round to the nearest whole number

1: 84
2: 119
3: 240
4: 168

Answers

A=119
119 is the answer because I solved the problem and that’s what I got so I’m probably right about the answer

Answer:

2. 119

Step-by-step explanation:

Please! Need help on this question

Answers

Answer: D and E

the answers is between 1 and 2 so A is out

the dot is a little more than halfway so B and C are out

D and E are left :)

Answer:

D E

Step-by-step explanation:

A certain 32 cm spring will stretch (in cm) one-half the weight (in kg) attached to it. How long wilt the spring be if a 26 kg weight is attached to it?

Answers

67 I think or 32! Lol

A pair of dice are rolled. What is the probability of getting a sum less than 8?


the other person said 'a regular dice'
that is not what im asking im asking for the answer

Answers

Answer:

21/36 or 7/12

Step-by-step explanation:

1+1          

1+2,  2+1,  2+2

1+3,  3+1,  2+3,  3+2,  3+3,  3+4

1+4,  4+1,  2+4,  4+2,  4+3

1+5,  5+1,  2+5,  5+2

1+6,  6+1

Need help getting the answer to the question below.

Answers

Answer:

.0065

Step-by-step explanation:

You move the decimal backwards 3 times

Answer:

The answer is 0.0065

Step-by-step explanation:

Hope it will help you...

Can someone please help me with math.

Answers

Answer:

b, b

Step-by-step explanation:

use the graph

Barkley's team won 40% of their games last season. If they won 12 games total last season, how many games did they play?

Answers

Step-by-step explanation:

40% × 12 = 4.8

12 + 4.8 = 16.8

rounded off = 17 games

Help me with this thanks

Answers

It’s A bro bro bro bro bro

Juan is going to invest $1,700 and leave it in an account for 14 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Juan to end up with $3,700?

Answers

Answer:

5.6  percent

Step-by-step explanation:

because

What is a number that when
you add 5 to it and then multiply
the sum by 3 will equal 27?

Answers

Answer:

4

Step-by-step explanation:

4

27 divided by 3 is 9 then take away by 5 which is 4

Mathhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

0, 1

1, 4

2, 7

3, 10

4, 13

5, 16

6, 19

7, 22

Step-by-step explanation:

hope this helps!

Determine if the following is Infinite solutions, one solution, or no solutions
x+y=4
2x+2y=8

Answers

Answer:

30

Step-by-step explanation:

infinite solutions cause when you take out the 2 from the bottom equation, you get x + y = 4, which is the exact same equation as the first one, so literally any two values will result in the same for both

What fraction, decimal or percent. Is equivalent to 9/9

Answers

Answer:

1/1

1.0

100%

Step-by-step explanation:

Answer:

9/9 is the same as 1

Step-by-step explanation:

9/9 = 1/1

= 1.0

= 1

= 100%

DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9

Answers

Answer: The answer is b !

Image attached should help

The line of best fit is:

y = 3.1x + 12.9

Option A is the correct answer.

We have,

The line of best fit can be expressed in the form of y = ax + b,

where a is the slope of the line and b is the y-intercept.

From the given LinReg results, we have:

a = 3.1

b = 12.9

Substituting a and b in the equation y = ax + b we get,

The line of best fit is:

y = 3.1x + 12.9

Thus,

The line of best fit is:

y = 3.1x + 12.9

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it's been 2 hours and no one answered my question what the heck

Answers

Answer:

Ask it again and more people will have a chance to see it

Step-by-step explanation:

find the angle of 1 and 3

Answers

Answer:

Angle of 1 and 3 as 90*

Step-by-step explanation:

This is because all angles are the same meaning all angles are 90*. Even 1 and 3. Brainiest and a thank you?!

Answer:

We really aren't provided with enough information to give you the answer. I'll explain how to find them, but you should comment on my response and tell be if it gives you any values at all to work with.

So, ∠1 and ∠3 are vertical angles, which means they are equal to each other.

Along with that, ∠2 and ∠4 and also vertical angles, so they're equal to each other as well.

Now we have the information:

∠1 = ∠3

and

∠2 = ∠4

__________________________________________________________

Given that both of the two lines are intersecting, each angle has two angles that it is supplementary to.

Supplementary angle are angles that when added together equal exactly 180°.

A perfectly straight line's angle it 180°.

Using this knowledge, you can find that ∠1 is supplementary to ∠2, ∠2 is supplementary to ∠3, ∠3 is supplementary to ∠4, and ∠4 is supplementary to ∠1.

If that's still confusing, here's it explained simpler:

∠1 + ∠2 = 180°

∠2 + ∠3 = 180°

∠3 + ∠4 = 180°

∠4 + ∠1 = 180°

__________________________________________________________

But still - you haven't given us the information to find these values. Are you given even one angle measurement to work with?? If so, comment it here and I'll work it out for you.

im sorry, i need help, can someone explain it?

Answers

Answer:

vertical angle = 2 and 3

supplementary angle = 2 and 4

hope it helps

Answer:

Vertical is like 1 and 4. Supplementary is like 1 and 3.

Please help Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal to the nearest hundredth, and as a percent to the nearest whole number.


You spin the spinner shown. The spinner lands on blue or green.

Answers

Answer:

[tex]$\frac{1}{3}$[/tex] , 0.33 , 33%

Step-by-step explanation:

The spinner has 4 green, 4 blue and 4 yellow.

So total = 12

Therefore, the probability of the spinner landing on blue or green as a fraction is = [tex]$\frac{4}{12}$[/tex]

   [tex]$=\frac{1}{3}$[/tex]

The probability of the spinner landing on blue or green as a decimal is = 0.33

The probability of the spinner landing on blue or green as a percent is

= 0.33 x 100

= 33 %

 

We are going to fence in a rectangular field that encloses 75 ft2. Determine the dimensions of the field that will require the least amount of fencing material to be used.

Answers

Answer:

For width W and length L, we have:

W = L = √(75ft^2) = 8.66ft

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = L*W

and the perimeter is:

P = 2*L + 2*W

First, we know that the area of our rectangle is:

A = 75ft^2 = L*W

And we want to minimize the perimeter of our rectangle, then we need to minimize:

P = 2*L + 2*W

From the equation:

75ft^2 = L*W

We can isolate one of the variables, let's isolate L

L = (75ft^2)/W

We could replace this in the perimeter equation:

P(W) = 2*( (75ft^2)/W) + 2*W

P(W) = (150 ft^2)/W + 2*W

To find the minimum of the perimeter we need to look at the zero of the first derivative of P(W).

P'(W) = dP(W)/dW = -(150ft^2)/W^2 + 2

Now we need to find the value of W such that:

P'(W) = 0

0 =  -(150ft^2)/W^2 + 2

(150 ft^2)/W^2 = 2

(150ft^2) = 2*W^2

(150ft^2)/2 = W^2

75 ft^2 = W^2

√(75ft^2) = W = 8.66ft

And remember that:

L =  (75ft^2)/W

replacing with W = √(75ft^2)

L =  (75ft^2)/√(75ft^2) = √(75ft^2)

Then:

W = L = √(75ft^2) = 8.66ft

What is the M? Will mark brainlist if correct

Answers

14 = M each on would be *t=5

Find the value of the ratio.

Can someone help please???

Answers

Answer:

SOH CAH TOA........... Cosine=Adj/hypotenuse...... ***Cosine X=15/39 ****

SOH CAH TOA......... Sine= Opp/hypotenuse..... ***Sine Z=30/40***

Step-by-step explanation:

SOH CAH TOA........... Cosine=Adj/hypotenuse...... ***Cosine X=15/39 ****

SOH CAH TOA......... Sine= Opp/hypotenuse..... ***Sine Z=30/40***

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