use the discrminant to determine all values of k which would result in the equation -3x^2-6x+k=0 having real,unequal roots.​ must be right ty helppp asap

Answers

Answer 1

Answer:

[tex]k>-3[/tex]

Step-by-step explanation:

We have the equation:

[tex]-3x^2-6x+k=0[/tex]

Where a = -3, b = -6, and c = k.

And we want to determine values of k such that the equation will have real, unequal roots.

In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:

[tex]b^2-4ac>0[/tex]

Substitute:

[tex](-6)^2-4(-3)(k)>0[/tex]

Simplify:

[tex]36+12k>0[/tex]

Solve for k:

[tex]12k > -36[/tex]

[tex]k>-3[/tex]

So, for all k greater than -3, our quadratic equation will have two real, unequal roots.

Notes:

If k is equal to -3, then we have two equal roots.

And if k is less than -3, then we have two complex roots.


Related Questions

ill give you brainliest if u get it right

Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?
a. 10; 1,440
b. 20; 3,240
c. 18; 2,880
d. 36; 6,120

Answers

Answer:

i answered this question so the other guy can get brainliest he deserves it

Step-by-step explanation:

B. 20; 3,460

smiley face

Does anyone know how to work this out

Answers

let x represent yellow cubes

blue cubes = 3x

green cubes = 15x

to make this simpler let's just say x = 1

so 1 yellow cube 3 blue cubes and 15 green cubes

so there are 19 cubes in total

1 of them are yellow

so she has a 1/19 chance of picking a yellow cube

Answer:

1/19

Step-by-step explanation:

y = number of yellow cubes

3y = number of blue cubes

5(3y) = number of green cubes

total number of cubes = 19

P(yellow) = 1/19

PLS HELP ASAP, I'll give BRAINLIEST

Find the length of the longest side of the triangle whose vertices are D(4,1), E(9,6) and F(5, -4).

Answers

Answer:

the answer is approximately 8.2 units.

2x+3y=6 and 2x+y=-2 solved by elimination

Answers

The two lines intersect at (-3,4)
-2/3X+2= -2X-2

Add 2X to both sides
Subtract 2 from both sides
Divide both sides by 4/3
You get X=-3
Plug in 3 to one of the equations and you’ll see that y= 4

(2x - 4)+ ( x + 9)
A. 3x+5
B.x+5
C.3x-13
D.x+9

Answers

Answer: option A, 3x + 5

first, i rewrote it and removed the parentheses.

2x - 4 + x + 9

then, i collected the like terms.

3x + 5

Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4

Answers

Answer:

C

Step-by-step explanation:

Eight ounces of Ground beef are needed to make one hamburger. If one package of ground beef contains 12 pounds how many hamburgers can be made

Answers

Answer:

1 1/2

Step-by-step explanation:

set up a proportion:

8 = 12

1        x

cross-multiply:  8x = 12

                          x = 12/8

                          x = 3/2 (simplified)

2y - 10x = -8-
can someone help me and get Y by it self

Answers

Answer:

y=-4+5x

Step-by-step explanation:

To get y by itself you need to move the -10x to the other side, to do that you need to add 10x on both sides

2y-10x+10x=-8+10x

Simplify and you will get 2y=-8+10x

Now divide everything by 2

2y/2=-8/2+10x/2

Simplify and you will get y=-4+5x

Can u plz plz help me

Answers

Answer:

Raquel collected 30 marbles

Step-by-step explanation:

If there are 80 marbles, and Raquel has collected 3/8 of them, he has collected 30

Raquel collected 30 marbles.

Trevor has finished 5 of his 12 homework problems, so he is Five-twelfths of the way to being done. Which statement best describes the progress Trevor has made on his homework? Trevor has barely started his homework. Trevor is almost done with his homework. Trevor is just over halfway through his homework. Trevor is just under halfway through his homework.

Answers

Answer:

Trevor is just under halfway through his homework

Step-by-step explanation:

The following information is given in the question

Trevor has completed 5 of his 12 homework problems

So here the total number of homework is 12

And, out of them trevor has completed 5

So if we do the half of 12 than it would come 6

This means that trevor just under halfway the homeowrk

Therefore the last option is correct

Consider I(p) = p(50 - p) , which gives the expected income in dollars from a bungee jump attraction when the ticket price is p dollars. What is I(20)?

Answers

Answer:

I(20) is 600 dollars

Step-by-step explanation:

From the given function, I(p) = p(50 - p)

Where I is the income in dollars and p is price dollars.

To determine I(20), that is, to determine the income in dollars when the ticket price is 20 dollars.

From

I(p) = p(50 - p)

When p = 20

Then,

I(20) = 20(50 - 20)

I(20) = 20(30)

I(20) = 20 × 30

I(20) = 600

Hence, I(20) is 600 dollars

That is, the income is 600 dollars when the ticket price is 20 dollars.

Mary Jane scored 85% on her last test. There were 60 questions on the test. How many questions did she get correct? Show your work

PLEASE HELP ME

Answers

Answer: Mary Jane got 51 questions correct.

Step-by-step explanation: x/60 and 85/100. Multiply 60 and 85. When you get your answer, divide it by 100. It should give you the answer.

For the expression 15-15z to have a negative​ value, what must be true about the value of ​z?

Choose the correct answer.

A. The value of z has to be 0.

B. The value of z has to be less than 1.

C. The value of z has to be greater than 1.

D.The value of z has to be negative.

Answers

Answer:

C. The value of z has to be greater than 1

Step-by-step explanation:

[tex]15 - 15z < 0 \\ - 15z < - 15 \\ 15z > 15 \\ z > 1[/tex]

What is the solution to −9x−6≥−3(x−4) ?

Answers

The answer is

x ≤ -3  

A collector has 90 movie posters and 50 band posters. She wants to sell 27 movie posters but still have her poster collection maintain the same ratio of 90:50. If she sells 27 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.

Answers

Answer:

16

Step-by-step explanation:

90/27 = 3

50/3 = 16

A regular polygon has it exterior angles all equal to 2°.

Find the number of sides of the polygon.

Answers

Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.

Step-by-step explanation:

360/2 = 180

therfore it has 180 sides

How can you write an equation to solve a problem

Answers

Answer: a nn nn n nn n nn n n n n n n n n n n n n n

Find the value of θ in radius

Answers

Step-by-step explanation:

the answer is explained above

There are 12 varieties of birds in a zoo, the number of each variety being
double of the number of another variety. If the number in the first
variety is 3, find the number in the last variety and also total number of
all varieties of birds in the zoo.maths gp

Answers

Answer:

below

Step-by-step explanation:

Geometric series with first term 3 and common ratio r.

Last variety = 3 * 2^(12-1) = 6144.

Total =  3 * (2^12 - 1) / (2-1)

= 12285

Directions: Solve for x, then find each angle measure.

Answers

It’s the second one

One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.

Answers

Hi, did you forget to attach the two-way table to the question? I can't seem to see it, so I can't answer your question

Annie works at a library. She worked for a total of 11 hours in the last 5 days and worked an equal amount of time each day. What is the correct way to show how to find the number of hours she worked each day?

Answers

each day is 24 hours.

so minus 11 from 24 , 5 times, since theyre 7 days in a week.

I THINK IVE ALREADY LEARNED THIS BUT IM NOT GREAT AT MATH <3

A rotating lawn sprinkler sprays water in a circular area of grass as shown in the picture. The diameter of the circular area of grass is 6 feet. How many square feet of water will the sprinkler spray?

Answers

Answer:

[tex]9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}[/tex]

Step-by-step explanation:

The area of a circle is given by [tex]r^2\pi[/tex] where [tex]r[/tex] is the radius of the circle. The diameter is given as [tex]6[/tex] feet, so the radius of this circle is [tex]\frac{6}{2}=3[/tex] feet.

Plugging in our values, we get:

[tex]3^2\pi=9\pi\approx28.27[/tex].

SOMEONE FIND THE PERIMETER OF THIS SHAPE AND ILL GIVE BRAINLIEST IF UR RIGHT

Answers

Answer:

28cm

Step-by-step explanation:

7x4

or

7+7+7+7

What is the probability that a number selected from the numbers (1, 2, 3,........,15) is a
multiple of 4?

Answers

Answer:
P(multiple of 4) = 3/15 = 1/5

Find the reflection of the following point over the y-axis: (7, -3)

Answers

Answer:

(-7,-3)

Step-by-step explanation:

You keep the -3 since that is the y but the x will become negative because you are reflecting to the left and not the right, making the x then negative.

Answer: (-7,-3)

Step-by-step explanation:

The point (7,-3) is located in the fourth quadrant  mean that if you reflect the point across the  y a-xis, it should end up in the third quadrant.

If you flip a point over the y axis, the x coordinate switches.

(7,-3) ⇒ (-7,-3)

solve 3 square root of (x minus 4) plus 7 equals negative 14. please show your work. this is due sunday.

Answers

Step-by-step explanation:

3√(x - 4) + 7 = -14

3√(x - 4) = -21 (subtract 7 from both sides)

√(x - 4) = -7 (divide 3 on both sides)

However √y is non-negative for all values of y in the domain of √y.

Hence there is no real solution for x.

Please help with this question

Answers

Answer:

7 pounds

Step-by-step explanation:

From the graph :

The data model:

X:

10

20

30

40

50

Y:

2

3

4

5

6

Using a linear regression calculator :

The equation of best fit for the data is :

y = 0.1x + 1

Weight loss for someone who attended 60 fitness classes :

Using the model:

y = 0.1x + 1

Where x = 60

y = 0.1(60) + 1

y = 6 + 1

y = 7

13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS

Answers

Answer:

9) 30 years

10) line passing through points AB and BC are perpendicular

Step-by-step explanation:

9) p = 5t + 150    

Current pop. (in thousands) is 150

Double pop. (in thousands) is 300

300 = 5t + 150

150 = 5t

t = 30

10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal

slope of AB = 3

slope of BC = -1/3

Solve 2a−5≤13.

help please

Answers

Answer:

a≤9

Step-by-step explanation:

Answer:

a ≤ 9

Step-by-step explanation:

2a-5 ≤ 13

add +5 then divide both sides by 2 to isolate the variable

step 1: 2a-5+5 ≤ 13+5 → 2a ≤ 18

step 2: 2a/2 ≤ 18/2 → a ≤ 9

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