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

14 POINTS + Brainliest to first correct answer with explanation and diagram.
How do you divide Fractions?
Tysm!

Answers

So for example we have

1/2 divided by 1/6

What we will do it’s

Leave the first one As it is

Turn the second fraction (the one you want to divide by) upside down

The change the divide to multiply

Multiply the first fraction by that reciprocal

Simplify the fraction (if needed)

So it’s will be like this

1/2 x 6/1 = 6/2

Simplify it

6/2 =3

I hope it’s will help u ✨

Using the common​ denominator, what is an equivalent fraction for 2/7
​?

Answers

Answer:

The fraction 4/14 is equal to 2/7 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (2/7) by the same interger number, ie, multiply by 2, 3, 4, 5, 6

Darion got a $75 gift card to an online music store. He uses the gift
card to purchase a game for $29.99. He also wants to use the gift
card to buy some songs on Apple Music. Each song costs $1.29.
Write and inequality for this situation.

Answers

Answer:

29.99 - 1.29s ≤ 75

Step-by-step explanation:

s = songs on Apple Music

≤ = less than or equal to

Three students, Hunter, Gavin, and Levi, line up one behind the other. How many
different ways can they stand in line?

Answers

Answer:

Hunter, Gavin Levi

Levi, Gavin, Hunter

Gavin, Hunter, Levi

Hunter Levi Gavin

Levi Hunter Gavin

Gavin Levi Hunter

6 different ways

The number of different ways this can be done is 6 ways

Permutation and combination

Give the following students Hunter, Gavin, and Levi, line up one behind the other. They can line up in any form as they wish.

In order to line them up as they wish, we will take the factorial of the total student. In general;

n! = n(n-1)!

Since there are 3 students, the different ways can they stand in line is;

3! = 3 * 3 * 1

3! = 6

Hence the number of different ways this can be done is 6 ways

Learn more on permutation here:  https://brainly.com/question/12468032

What is the complete factorization of -x^2+3x+28

Answers

Answer:

I dont know

Step-by-step explanation:

Answer:

-(x+4)(x-7)

Step-by-step explanation:

Factor out 28. Whichever pair equals to 3 would be the correct pair for factorization. In this case, it's 7 and -4

What is the value of m?

Answers

Answer:

23

Step-by-step explanation:

400 - 8m = 216

move 8m to the other side

400 = 216 + 8m

subtract 216 from both sides

8m = 184

divide both sides by 8

m = 23

Answer:

23

Step-by-step explanation:

400 - 216 = 184

184/8 = 23

Check

400 - 8m = 216

400 - 8(23) =

400 - 184 =

216 = 216 :)

The current in one part of a series circuit is 3 – 2j amps. The current in

another part of the circuit is 2 + 4j amps. Find the total amps in the circuit. .

Answers

Answer:

5 + 2j Amps

Step-by-step explanation:

current in part one = 3 -2j A

Current in second part = 2 + 4j

Total amps in the circuit = 3 - 2j + 2 + 4j

Collect the like terms

Total amps in the circuit = 3+2-2j+4j

Total amps in the circuit = 5 + 2j

Hence the total amps in the circuit is 5 + 2j Amps

The total amps in the circuit described is; 5 +2j

Since current flows in the same direction in a series circuit.

We can evaluate the total current that flows in the circuit as follows;

Total current = 1st part current + 2nd part current

Total current = 3 – 2j + 2 + 4j

Total amps = 5 +2j.

Read more;

https://brainly.com/question/19791435

72÷853 PLZ HELP ASP I need an answer fast​

Answers

Answer:

0.084408 or 8.44%

Step-by-step explanation:

hope this helps :)

Answer: 0.0084

Step-by-step explanation:

<8

increase 30 kg by 12%

Answers

Answer:

33.6kg

Step-by-step explanation:

30kg : 100% = x kg : 112%

100x = 112 x 30

100x = 3360

3360 divided by 100

= 33.6kg

100 points please help !!!!!!!!!!

Answers

It is chromatic because of all the colors.

Answer:

The third option

Step-by-step explanation:

It explains the purpose of it.

Give me 3 examples of a ratio

Answers

Answer:

2:4 like in a basketball game 2/4 like a fraction 2:4 like a competitive thing

Step-by-step explanation:

Which trig function would you use?

Answers

⠀⠀ ⠀ ⠀⠀ [tex]\huge{\tt{\red{❥}\green{A}\purple{N}\pink{S}\blue{W}\orange{E}\red{R}}}[/tex] Sine

A rectangular parking lot has an area of 1650 yd.² the length of the parking lot is 55 yards what is the width of the parking lot in yards

Answers

Answer:

The width of parking lot is 30 yards.

Step-by-step explanation:

Given that:

Area of rectangular parking lot = 1650 yards square

Length of parking lot = 55 yards

Width of parking lot = x yards

Area of rectangle is given by:

A = Length * Width

1650 = 55x

Dividing both sides by 55

[tex]\frac{55x}{55}=\frac{1650}{55}\\x=30[/tex]

Hence,

The width of parking lot is 30 yards.

The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day. The number of red carnations sold was 3 more than 2 times the number of pink carnations sold. Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 . How many of each carnation were sold?

Answers

Answer:

The number of :

Red carnations sold = x = 687 carnations

Pink carnations sold = y = 342 carnations

How many of each carnation were

Step-by-step explanation:

Let us represent

The number of :

Red carnations = x

Pink carnations = y

The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day.

The number of red carnations sold was 3 more than 2 times the number of pink carnations sold.

x = 3 + 2y .....Equation 1

Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 .

$0.50 × x + 0.75 × y = $600

0.5x + 0.75y = 600...... Equation 2

Using substitution method:

Let us substitute, 3 + 2y for x in Equation 2

0.5(3 + 2y) + 0.75y = 600

1.5 + y + 0.75y = 600

y + 0.75y = 600 - 1.5

1.75y = 598.5

y = 598.5/ 1.75

y = 342 carnations.

Solving for x

x = 3 + 2y .....Equation 1

x = 3 + 2(342)

x = 3 + 684

x = 687 carnations

Therefore, The number of :

Red carnations = x = 687 carnations

Pink carnations = y = 342 carnations

Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.

Answers

Answer: Store B

Step-by-step explanation:

The answer is answer A is the correct answer

4y - 9 - 6y = 2 (y + 5) -3
Help

Answers

Answer:

y = −4

Step-by-step explanation:

In case you need to see the steps. Y=-4

What is the common ratio of the following geometric sequence? 6,9,27/2,81/4,...
a. r=-2
b. r=2
c. r=3/2
d. r=2/3

Answers

Answer:

C

Step-by-step explanation:

The common ratio (r) can be found as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex] → C

The common ratio of the geometric sequence is c. r = 3/2.

To determine the common ratio of a geometric sequence, we need to find the ratio between consecutive terms.

In the given sequence: 6, 9, 27 / 2, 81 / 4, ...

To find the ratio between consecutive terms, we divide each term by its preceding term.

9 / 6 = 3 / 2

(27 / 2) / 9 = 3 / 2

(81 /4 ) / (27 / 2) = 3 / 2

We observe that the ratio between consecutive terms is always 3 / 2.

Therefore, the common ratio of the geometric sequence is c. r = 3/2.

To know more about common ratio click here :

https://brainly.com/question/15458915

#SPJ2

A hobby store marks up remote-controlled cars 20%. The original price was $35. What is the retail price to purchase a remote-controlled car at the hobby store?

Answers

Answer:

The retail price to purchase a remote-controlled car at the hobby store is $42

Step-by-step explanation:

Original Price of remote controlled car = $35

Mark up = 20%

We need to find retail price.

First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.

Finding 20% of 35

[tex]20\% \:of\: 35\\=\frac{20}{100}\times 35\\=7[/tex]

So, mark up price is $7

Now, the retail price will be:

Retail price = Original Price + Mark up

Retail price = 35 + 7

Retail price = 42

So, the retail price to purchase a remote-controlled car at the hobby store is $42

HELPPPPPPPPPPP omll i cant fail

Answers

Answer:

F(-2)=2

Step-by-step explanation:

F(x)=4x+10

F(-2)

F(-2)=4(-2)+10

           -8 +10

F(-2)= 2

A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 95 feet long and the water is 40 feet deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat?


7,425 ft

86.2 ft

103.1 ft

3,712.5 ft

Answers

the answer would be 3,712.5 feet im prettyyyy sure

A 64 ounce bottle of orange juice has 48 ounces of water.What percent of the juice is water? Someone please help!!

Answers

Answer:

75 percent

Step-by-step explanation:

Please help !! Will mark brainliest answer

Answers

Answer:

x = 12

Step-by-step explanation:

18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.

Using this 3:4 scale factor we can find the missing side x.

Solving for x :

[tex]\frac{3}{4}[/tex] × 16 = 12

x = 12

OR: Set up a proportion:

[tex]\frac{24}{16}[/tex] × [tex]\frac{18}{x}[/tex]

cross-multiply

16 × 18 = 288

24 × x = 24x

288 = 24x

x = 12

2/3 = 16/x

What is X

Answers

Answer:

Step-by-step explanation:

x=24

Answer:

X = 24

Step-by-step explanation:

Learn what 2/3 equals

2/3 = 0.666

Divide 16 until it equals that number

16/24 = 0.666

Who knows both of them ??? pleaseee

Answers

Step-by-step explanation:

question 13: false

question 14: 1

Edward deposited $7,000 into a savings account 4 years ago. The simple interest rate is 5%. How much
money did Edward earn in interest?
Substitute the values into the equation
Interest = $ • • years

Answers

answer: $1,440

explanation: here’s the equation with the values in this case

>> interest = 7,000 x 0.05 x 4

after multiplying, you get 1,440, which is the simple interest

**tip: turn the rate/percent into a decimal, then multiply

5t^-2 • 2t^-5

can someone write the steps? i can’t remember the formula so i’m stuck

Answers

Just multiply the numbers 5 and 2 to get 10. Then add the the exponent t and add the exponents together so you answer would be 10t^-7

Brainiest please?

A person Rents a canoe for 4 Hours and paid a total of $36. of Renting a canoe costs am initial fee of the $2 Plus an additional amount for each hour the canoe is rented,which graph represents the total cost,y, in dollars of renting a canoe for x hours

Answers

Answer:

Additional fee or hour = $8.5

y = $2 + 8.5x

Step-by-step explanation:

Given that :

Total paid = $36

Number of hours = 4

Initial rental fee = $2

Additional fee per hour = a

Total amount = initial rental fee + additional fee per hour * number of hours

36 = 2 + 4a

36 - 2 = 4a

34 = 4a

a = 8.5

Hourly fee = $8.5

Therefore, the cost formula

y = initial fee + regular fee * number of hours

y = $2 + 8.5x

HI CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!!!!!!!!

Answers

I’d go with B. If that’s not it try C.

C

Because it is not a constant change

Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?



A.
reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin
B.
reflection across the y-axis followed by a rotation 90° clockwise about the origin
C.
reflection across the line y = x
D.
rotation 180° clockwise about the origin followed by a reflection across the line y = -x
E.
reflection across the x-axis followed by a reflection across the y-axis

Answers

Answer:

a

Step-by-step explanation:

Devaughn's age is three times Sydney's age. The sum of their ages is 104 . What is Sydney's age?

Answers

Answer:

26

Step-by-step explanation:

u dont need it

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