Find the discriminant and determine the number of real roots for each equation. Show steps.

-3p^2 - 2p = 0

Answers

Answer 1

Answer:

discriminant:  4; number of real roots:  2

Step-by-step explanation:

The coefficients a, b and c of this quadratic are {-3, -2, 0}.

Thus, the discriminant b^2 - 4ac is (-2)^2 - 4(-3)(0), or 4.

Because the discriminant is positive, this quadratic has two real, unequal roots.

-3p^2 - 2p can be factored as follows:  -p(3p + 2).  If we set this expression equal to zero, we can find the roots:  {-2/3, 0}


Related Questions

Ray has 3 1/2 gallons of maple syrup. He fills nine 1 quart bottles with syrup and gives them away how many quarts of maple syrup does he have left

Answers

Answer:

5 quarts

Step-by-step explanation:

3.5 gal - 9 quarts = 1.25 gal, or 5 quarts.

The number of quarts of maple syrup Ray has left is 4.75 quarts.

What is subtraction of fractions?

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, Ray has [tex]3\frac{1}{2}[/tex] = 7/2 =3.5 gallons of maple syrup.

Ray fills [tex]9\frac{1}{4}[/tex] = 37/4 = 9.25 quarts.

We know that, 1 gallon = 4 quarts

Here, the number of quarts of maple syrup left

= 3.5×4-9.25

= 14-9.25

= 4.75 quarts

Therefore, the number of quarts of maple syrup Ray has left is 4.75 quarts.

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I need help pls can someone help pls

Answers

= 23.5

hope it helps

23.5 JjajsjsjjsjsKASLLSLALALA

PLEASE HALP WILL GIVE CROWNNN PLESSSSSSSSSS

Which pair of transformations to the figure shown below would produce an image that is on top of the original (same position, shape, and size)?

A hexagon in the shape of a right arrow is above a horizontal line and left of a vertical line.
A. a translation to the right and a reflection over the vertical line of reflection shown
B. a translation down and a reflection over the horizontal line of reflection shown
C. a 90° clockwise rotation and a reflection over the vertical line of reflection shown
D. a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown

Answers

Answer:

triangle

Step-by-step explanation:

Ten subjects are being studied to test the effectiveness of itch relief for three types of medication: A, B, and C. Using a 10-point scale, the researcher calculates the subjects' amount of itching
before treatment compared with the amount of itching after treatment. The response variable is the itch rating after one hour of treatment. Previous studies have shown the effects of
treatment may vary based on a subject's pain resistance. How should the subjects be blocked? Explain. (4 points)
They should be blocked alphabetically so the subjects are as different as possible.
They should be blocked by age because older subjects tend to itch more.
They should be blocked by gender because female subjects tend to itch more.
They should be blocked by pain resistance so the subjects are as similar as possible.
O Blocking should not be used in this experiment.

Answers

Answer: Choice D

They should be blocked by pain resistance so the subjects are as similar as possible.

============================================================

Explanation:

The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.

Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.

This is why choice D is the final answer.

-------------

Extra info:

Choice A is false because a person's name doesn't have anything to do with if the treatment works or not.Choice B is false because we weren't given any info to indicate it being true. It may be true, but we simply don't have enough info to confirm it. Choice C is false for similar reasons as choice B.

Answer:D

Step-by-step explanation:

This is due to the question explicitly stating how the previous studies have shown the effects of treatment may vary based on a subjects pain resistance. This leads to the only option that relates to the study's background, D

Which equation can be represented using the number line?

A. 3/4 ÷ 1/8 =6
B. 1/8 ÷ 3/4 =6
C. 6 ÷ 3/4 =1/8
D. 6 ÷1/8 =3/4

Answers

The answer is A because there is 6 loops and if you divide 3/4 divided by 1/8 you get 6

NEED HELP!!! What are the missing measures???

Answers

Answer:

jmk=54, Hml, 54, LMK=126, HLK=90, JKL=90

Step-by-step explanation:

pls can anyone pls help!! asap and you will get brainliest if you are right

Answers

I think both are yes

Answer:

1. no

2. yes

Step-by-step explanation:

(ILL MARK BRAINLIEST)

Triangle QRS is rotated 180° about the origin.

On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1).

What are the coordinates of point S’?
(2, 1)
(1, –2)
(–1, –2)
(2, –1)

Answers

Answer:

D.) or (2, -1)

Step-by-step explanation:

A ladder is placed against a wall.
To be safe, it must be inclined at between 70° and 80° to the ground.
5.8m
O 11N/Ma1 lesson 3438
HERRER
1.5m
MM
G
(a) is the ladder safe?

Answers

Answer:

yes it is safe.

Step-by-step explanation:

Tan^-1 (5.8/1.5)

theta = 75.5

yes, it is safe

The angle is between 70° to 80°.

Yes, the ladder is safe.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

tan Θ = 5.8 / 1.5

Θ = tan (5.8 / 1.5)

Θ = 75.5°

The angle is between 70° and 80°.

Thus,

The ladder is safe.

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Slope Instruction: Calculate the slope of the two points. (8,6)(2, 12) m​

Answers

-6/6 and if it reduce it then -1




Find the volume of the triangular prism in the picture shown. Round your answer to the
nearest tenth. *

1: 167
2:77.3 yd
3: 77 yd²

Answers

Given:

A figure of a triangular prism.

Height of triangular base = [tex]9\dfrac{2}{3}[/tex] yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

[tex]V=Bh[/tex]              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

[tex]B=\dfrac{1}{2}\times base\times height[/tex]

[tex]B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}[/tex]

[tex]B=2\times \dfrac{29}{3}[/tex]

[tex]B=\dfrac{58}{3}[/tex]

Putting [tex]B=\dfrac{58}{3}[/tex] and h=4 in (i), we get

[tex]V=\dfrac{58}{3}\times 4[/tex]

[tex]V=\dfrac{232}{3}[/tex]

[tex]V=77.33...[/tex]

[tex]V\approx 77.3[/tex]

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

HELP PLEASE OMGGGGGGGGGGGGG

Answers

Answer:

7x-2+5x-10+4x=180°

16x-12=180

16x=192

x=192/16

x=12

help please :()

Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in the simplest form.

Answers

10/15 but simplified 2/3

What's true about a regular polygon?

Answers

Answer:

Both the angles and sides are congruent.

Answer:

B

Step-by-step explanation:

I think

Total surface area of a cuboid 0.7

Answers

,

TSA 294000 IS THE TOTAL AREA OF A CUBOID 0.7

Someone help please? its late.

Answers

Answer:

It would be 10 units

you can use the midpoint formula.

How many lines of symmetry are there in the object pictured below?

Answers

Answer:

There are two lines of symetry.

Answer:B

Step-by-step explanation

its B

Find the slope of the lines given two points. (-7, 2) and (-7, 1)​

Answers

Answer:

undefined

Step-by-step explanation:

m=1-2/-7-(-7)

m=-1/0

x=0 slop

the line will be vertical and the slope is undefined

Find the exact value of x.
Thank you

Answers

Answer:

Step-by-step explanation:

Using the same proportion as the previous question

11/x = x / 8                   Cross multiply

x^2 = 88                     Factor 88 into at least 1 perfect square and something

x^2 = 4 * 22                Take the square root of both sides    

x = sqrt(4 * 22)

x = 2*sqrt(22)

can you please help me with this question?

Answers

-60 percent of the pizza have 12 slices. In total there are 216 slices in these pizza

-40 percent of the pizza have 10 slices. in total there are 120 slices of pizza

- there are 336 pizza slices

Mitchell deposits $1,200 in an account that pays 4.5% simple interest. He keeps the money in the account for three years without any deposits or withdrawals. How much is in the account after three years?

Answers

Answer:

$1362

Step-by-step explanation:

In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?
Information : Ali makes $50 in savings a month. Also i need the months of the fee and ali to go up to 12 months. thank youuu

Answers

In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?

please help i don’t understand

Answers

Step-by-step explanation:

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help please quick!!!

Answers

Answer:

9,000 is the answer you are looking for

Find the lateral surface area of this
cylinder. Round to the nearest tenth.
12cm
3 cm
?] cm2

Answers

lateral surface area of this cylinder is 1584/7 or 226.28...cm square.

The  lateral area of the cylinder is 226.2 cm² .

What is lateral surface area of cylinder?

The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface.

For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder:

A = 2πrh.

According to the question

radius of cylinder = 3 cm

height of cylinder = 12 cm

The lateral area of the cylinder:  

A = 2πrh

A = 2 * [tex]\frac{22}{7}[/tex] * 3 * 12

A = 226.2 cm²

Hence, the  lateral area of the cylinder is 226.2 cm² .

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A bag holds 4 red marbles, 3 green marbles, 2 yellow marbles, and 1 blue marble. You pull one out without looking. What is the probability that you pull a marble that is not green?

Answers

Answer:

the probability of pulling a marble that is not green is 7/10

Answer:

- 7 / 10

- 70%

Step-by-step explanation:

4 red + 3 green + 2 yellow + 1 blue = 10 marbles

If you remove green marbles:

4 red + 2 yellow + 1 blue = 7 marbles

So the probability of not pulling a green marble is 7 out of 10.

what is m<M to the nearest degree? show your work.​

Answers

Answer:

27°

Step-by-step explanation:

We solve the above question using the Trigonometric function of Sine

sin theta = opposite/Hypotenuse

Opposite = 5

Hypotenuse =11

sin theta = 5/11

theta = arc sin (5/11)

theta = 27.035691789°

Approximately = 27°

Angle m<M = 27°

Football The function defined by h = -5t² + 20t + 2 indicates the approximate height h of a soccer ball. in meters according to the elapsed time t in seconds, since it was launched. This ball hit the ground before a receiver managed to approach it. How much time has the balloon spent in the air, to the nearest tenth of a second! For how many seconds was he at a height of at least 17 m?

Answers

3 seconds for the second question

The cost for 15 cases of oranges is $75. What is the cost for 1 case? *

Answers

Answer:Ok I This question can be solved using a system of equation, which requires translating the above word problem into something that can be algebraically

Let O=oranges and  Let G=Grapefruit

5O +8G=235

3O + 2G=85

To solve, you must isolate one of the variables and then work from there. To do that multiply both sides of the bottom or second equation by four and then subtract the bottom equation from the top.

Which would look like this

5O +8G=235

12O + 8G= 340

Then subtract the bottom from the top to get this

-7O=-105

Solving for O we divide both sides by -7, and end up with O=15

Plugging that value back into one of our original equations to solve for G we get this

3(15) + 2G= 85

45 +2G=85

2G=40

G=20

So 1 case of each altogether would equal 15+20, or $35.

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Find the tangent of ∠T

Answers

Answer:

tangent angle T = 2.3999

Step-by-step explanation:

sin T = 48/52 = 0.9231

angle T = 67.3801 degrees

tangent angle T = 2.3999

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