Given a quadratic equation px^2 + 8x + 2 does not have real roots. Determine the range of the values of p.
[4 marks]

Answers

Answer 1

Step-by-step explanation:

For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.

For px² + 8x + 2 = 0,

We have a = p, b = 8 and c = 2.

=> (8)² - 4(p)(2) < 0

=> 64 - 8p < 0

=> 8p > 64

=> p > 8

Hence the range for p is p > 8.


Related Questions



Rewrite in simplest terms: 8(-10r - 9) + 9r



Answers

Answer:

-2

Step-by-step explanation:

you answer the brackets first then add 9 then add 8

Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.

What is the angle of B

Answers

I think u forgot to put pic for we can see the triangle
Can u give us how the angle looks please if you could?

Plz help I’m dumd and I can’t answer it

Answers

Answer:

11

Step-by-step explanation:

25% is 0.25 or 1/4

44 x 0.25 =11

if Maya drove 30 laps in six minutes how many laps did she drive in one minute

Answers

Answer:

5 laps in one minute.

Step-by-step explanation:

1. Divide 30, the number of laps, by 6, the number of minutes. So, for every 1 minute Maya drives on lap.

You pay $11.20 to buy drink boxes for the football team. Each drink box cost $0.40. How many drink boxes did
you buy?

Answers

I think it’s uhhhh I think it’s uhhhhh carrot

A pizza shop can put together 4 pizzas in 12 minutes. What is their production rate in pizzas per hour?

Answers

i’m sure it’s 20 if not i’m sorry

Answer:

I think it'd be 20 pizzas an hour

Step-by-step explanation:

On Friday, a local restaurant served 150 customers. Of these, 114

people ordered soup. What percent of the customers ordered soup?


A: 13%

B: 66%

C: 34%

D: 76%

Answers

The answer is D, because we will divide 114 by 150 and the total converted to percentage is 76

Have to find x,y and z.

Answers

Answer:

z= 2√2

x=2

y=2√2

Try the following puzzle:

A bat and ball cost $1.10.

The bat costs one dollar more than the ball.

How much does the ball cost?

Answers

Answer:

10 cents

Step-by-step explanation:

the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents

Answer:

the ball costs $0.05

Step-by-step explanation:

if the total is $1.10, and the bat is $1 more than the ball, you do

1+2x=1.10. do the algebra, and you get 0.05. hope this helps.

14 is 33 1/2% of what number?

Answers

Answer:

41.79

Step-by-step explanation:

c = 14 * 100/33.5 = 1400/33.5 = 2800/67

= 41.79104

What is the value of tan(60°)?
A
12
30°
B
60°
14

Answers

Answer:

the answer is 1.7320508076

Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink? Choose the correct equation and answer for this situation. I THINK THIS IS ABOUT RASIOS SO PLS HELP

Answers

Answer:

7 ÷ 84 = 84 = 12 ounces

             _

             7

Step-by-step explanation:

The equation will be 7x = 84. Then the number of ounces will each person get to drink will be 12.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Seven people are going to share an 84-ounce bottle of soda.

Let x be the number of the ounces bottle of soda of each person.

Then we have the equation will be

7x = 84

 x = 84 / 7

 x = 12

Then the number of ounces will each person get to drink will be 12.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

heyyy wanna help mee

Answers

Answer: Only j = 2

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

Explanation:

Let's solve for j

[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]

In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.

The last step shows that j = 2.4 or j < 2.4

So j is 2.4 or smaller.

Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.

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

If j = 2, then,

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]

which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.

Something like j = 8 does not work because

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]

which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.

Of the list given, j = 2 is the only solution.

Answer:[tex]\boxed{\boxed{\sf{j=2}}}[/tex]Solution Steps:

______________________________

1.) Solve using j = 12:Plug in 12: [tex]\frac{96}{12}[/tex] ≥ [tex]40[/tex]Divide 96 by 12: [tex]=8[/tex] Compare: [tex]8[/tex] ≥ [tex]40[/tex]

So this is False.

2.) Solve using j = 8:Plug in 8: [tex]\frac{96}{8}[/tex] ≥ [tex]40[/tex]Divide 96 by 8: [tex]=12[/tex] Compare: [tex]12[/tex] ≥ [tex]40[/tex]

So this is False.

3.) Solve using j = 2:Plug in 2: [tex]\frac{96}{2}[/tex] ≥ [tex]40[/tex] Divide 96 by 2: [tex]=48[/tex]Compare: [tex]48[/tex] ≥ [tex]40[/tex]

So this is True.

4.) Solve using j = 3:Plug in 3: [tex]\frac{96}{3}[/tex] ≥ [tex]40[/tex]Divide 96 by 3: [tex]=32[/tex] Compare: [tex]32[/tex] ≥ [tex]40[/tex]

So this is False.

______________________________

ik you want the points
plzz​

Answers

Answer:

Line 1: Undefined

Line 2: -4/3

Line 3: 4/3

Line 4: Undefined

Line 5: 7/3

Line 6: -7/3

Line 7: 0

Line 8: 0

Line 9: Undefined

Line 11: 0

Line 10 & 12: Undefined

Step-by-step explanation:

Use the slope formula (you can just search up the slope formula)

Also, always remember that a vertical line's slope will be undefined and a horizontal line's slope will be 0 (zero).

I hope this helps!

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Answers

Answer:

Step-by-step explanation:

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Given data

cost to manufacture a hair clip is $0.50

markup of 200%

Required

The selling price

We know that

Mark up percent= selling-cost/cost*100

200= selling-0.5/0.5*100

200-selling= 50/0.5

200-selling= 100

selling= 200-100

selling = 100

Hence the selling price is $100

What is the value of x?
A. 6
B. 5
c. 4
D.3

Answers

Answer:

D

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values

[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. What is the area of the base of the cylinder? Express your answer in terms of 1. Do not include units (cm2) in your answer. Use pi to represent the n symbol. For example: 321 would be typed as 32pi​

Answers

Answer: 16pi

Step-by-step explanation:

Help pleas brainliest promise

Answers

Answer:

1) 13

2) 1

Step-by-step explanation:

1) you add the e amount of people that went to the store 3 and 5 times because those are all more than 2.

2) 1 has the lowest number on the amount of landings.

Other Questions
Have to find x,y and z. When the Earth's continental crust and ocean crust formed, they were different densities. Why did they differ in density and how did this affect their formation?A.) The continental crust was thicker and less dense. It rose above sea level, separating land from water. B.) The continental crust was thicker and more dense. It sunk below sea level, separating land from water. C.) The continental crust was thinner and less dense. It rose above sea level, separating land from water.D.) The continental crust was thinner and more dense. It sunk below sea level, separating land from water.I think its B, but Im not completely sure. Help please! Solve the Equation P + 75 = 100. Rewrite in simplest terms: 8(-10r - 9) + 9r C. Would the number 14 be in the solution set? Tell why or why not. Describe how the gonorrhoea pathogen causes disease after it enter the body On Friday, a local restaurant served 150 customers. Of these, 114people ordered soup. What percent of the customers ordered soup?A: 13%B: 66%C: 34%D: 76% What is the value of tan(60)?A1230B6014 tRNA is the molecule that brings the appropriate _______ _______ to the mRNA using an anticodon.fill in the blank Try the following puzzle:A bat and ball cost $1.10.The bat costs one dollar more than the ball.How much does the ball cost? Calculate the momentum of a boat with a mass of 95kg moving at 2m/Ss These mechanoreceptors would be activated if your little brother poked you in the arm while you were trying to nap. Consider a swimmer that swims a complete round-trip lap of a 50 m long pool in 100 seconds. The swimmer's... average speed is 0 m/s and average velocity is 0 m/s. average speed is 0.5 m/s and average velocity is 0.5 m/s. average speed is 1 m/s and average velocity is 0 m/s. average speed is 0 m/s and average velocity is 1 m/s.What is the swimmers average speed and average velocity? ik you want the pointsplzz What was the name of the first oil well in the UAE?A.MurbanB.ADNOCC.MurhabbaD.OLPEC A pizza shop can put together 4 pizzas in 12 minutes. What is their production rate in pizzas per hour? Predictions about the future based on the position of planets is an example of physics biology earth science pseudoscience y = 3.915(1.106)x.In terms of the water lily population change, the value 3.915 represents: During TCP/IP communications between two network hosts, information is encapsulated on the sending host and decapsulated on the receiving host using the OSI model. Match the information format with the appropriate layer of the OSI model.a. Packets b. Segments c. Bits d. Frames 1. Session Layer 2. Transport Layer 3. Network Layer 4. Data Link Layer 5. Physical Layer The time for a sound wave to travel between two people is 0.80 s,The people are 256 m apartCalculate the speed of sound in air.