By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0​

Answers

Answer 1

Answer:

p = 4

Step-by-step explanation:

A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.

The formula of a discriminant (Δ) of equation

[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]

We have the equation

[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]

substitute

[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]

subtract 64 from both sides

[tex]-16p=-64[/tex]

divide both sides by (-16)

[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]


Related Questions

Mrs. Wright sold t-shirts for $12.00, which was a 30% markup from what she paid for each. How much did Mrs. Wright pay for each t-shirt originally? (remember to round to the nearest hundredth so it looks like money

Answers

Answer:

She originally paid $3.60

Step-by-step explanation:

She originally paid for them $3.60 before the markup of 30%.

We can use this equation [tex]12 x 0.3 = 3.60[/tex] to confirm our answer. We also add a zero at the end because we are using units of money.

Juliet prepares cupcakes for a party. The recipe calls for 21 tablespoons of flour, but she only has a teaspoon to measure the flour. She uses 3 teaspoons of flour for each 1 tablespoon in the recipe. At this rate how many teaspoons of flour are required to make the cupcakes?

Answers

Answer:

63 teaspoons

Step-by-step explanation:

if 3 teaspoons equals 1 tablespoon and you need 21 tablespoons of flour the 21X3=63 so it requires 63 teaspoon measures to make the cupcakes

A man starts out on a trip driving his car at a constant rate of 48 mph. A man riding a motorcycle starts out on the same route 1.5 hours later, traveling at a constant rate of 64 mph. How long will the car have been traveling when the motorcycle catches up?

Answers

Answer:

6 hours

Step-by-step explanation:

twice the number is equal to 15 more than 5 times the number. What is the number

Answers

Answer:

35 answer

Step-by-step explanation:

I hope it help

50+ Points!

Solve the equation.

5^-9×325+(-42÷-14)

Answers

Answer:

−6347653.25 or 3.0001664, not my style of math but it is definitely one of the two.

Step-by-step explanation:

−1953125 x 325 + 3

−6347656.25 + 3 = −6347653.25

Answer:

3.0001664

Step-by-step explanation:

.

In a lab, a substance was heated by 48 Degrees Celsius over a period of 8 hours at a constant rate. what was the change in temperature each hour?​

Answers

Answer: The change in temperature each hour was 6 degrees celsius.

Step-by-step explanation: 48 divided by 8 = 6

Please help, due in 6 hrs (will mark brainliest and giving 85 points) will ask seperate question for the 85 points

Answers

Answer: If I'm being honest I only know parts A and B.

A. (4, 19) and (7, 7).

B. 4/1 or just 4.

Step-by-step explanation:

B. From point (7, 7) to (6, 11) is up 4 and left 1, rise over run is how you write the slope so it would be written as 4/1. Depending on you're teacher you can just put 4 and it can be correct, so, 4/1 or just 4.

PLS ANSWER HELP
Thanks

Answers

Its congruent to ELG :)

The data represented by the following stem-and-leaf plot range from
to
2189
3 504
4 127
5 36
A. 29; 53
B. 28; 56
C. 28; 53
D. 29, 56
SUBMIT

Answers

Answer:

28;56

Step-by-step explanation:

According to the stem-and-leaf plot, the range of the data represented by the stem-and-leaf plot is 63.

To determine the range of the data represented in stem and leaf plot, we need to look at the smallest and largest values. The smallest value is obtained by taking the smallest leaf in the plot, which is 36, and adding it to its corresponding stem (5). So, the smallest value in the data set is 536.

Next, we look for the largest value, which is found at the bottom of the last stem. In this case, the last stem is 5, and the largest leaf is 9. Therefore, the largest value in the data set is 599.

Now that we have the smallest and largest values, we can calculate the range by subtracting the smallest value from the largest value:

Range = Largest Value - Smallest Value

Range = 599 - 536

Range = 63

So, the answer is Answer: C. 28; 53

To know more about stem and leaf plot here

https://brainly.com/question/32053953

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Can's box of chocolates is a rectangular prism. The dimensions are 10 inches by 5 inches by 8 inchesEach chocolate in the box is 2 inches by 2 inches by 2 inches. How many chocolates are in Cam's box

Answers

Answer:

I think 50 (not too sure)

Step-by-step explanation:

First find the volume of the Chocolate Box which is 400. (10 · 5 · 8)

Then find the volume of each chocolate which is 8. (2 ·2 ·2)

Then divide 400 by 8 to see how many chocolates can fit.

400 ÷ 8 = 50

And that's how I got the answer! Hope that helped! <3

What is the decimal equivalent of 23/9
A. 25
B. 0.39
C. 2.39
D. 2.55

Answers

2.55

To find a decimal you need to divide y and x (y/x)  

What I did was I divided 23/9 and got 2.55555555556. And 2.55 is closest to 2.55555555556.

answer this question

will give brainliest

Which of the following is the name for a substance made of two or more types of atoms that are not chemically bonded together? (2 points)
Compound
Mixture
Solute
Molecule

(who wants to talk and whatever)

Answers

I think compound I have no idea

Answer:

the correct answer i think is mixture

Step-by-step explanation:

Select all polynomials that have (x + 2) as a factor.
Choose all answers that apply:
A A(x) = x^3– 3x^2 – 10x
B B(x)= x^3+ 5x^2 + 4x
C C(x)= x^3 – 2x^2 – 13x – 10
D D(x) = x^3– 6x² + 11x- 6

Answers

Answer:

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES

B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes

D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO

Step-by-step explanation:

The solution is:;

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),

are the polynomials that have (x + 2) as a factor.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

3x+2x-5, for example, is a polynomial.

EXPLANATION

We want to find which of the given polynomials has (x + 2) as a factor.

To do this, we have to equate (x + 2) to 0 and solve for x:

(x + 2) = 0

x = -2

Now, substitute that into each of the polynomials. If (x + 2) is a factor of a polynomial, the polynomial will become 0 after the substitution is made.

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES

B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes

D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO

Hence, The solution is:;

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),

are the polynomials that have (x + 2) as a factor.

Know more about Polynomials here:

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A town has a population of 2000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will reach 3900?

Answers

Answer:

27 years.

Step-by-step explanation:

2000->100%

?->3.5%

=70 people growth each year

3900-2000=1900[expected growth]

70-per year

1900-?

1900*1/70=27.1

=27.|1

27 years

It will take 9 years for the town's population to reach 3900.

What is an exponential function?

"An exponential function is a function of form f (x) = a^(x), where a is the base."

Exponential growth function:

f(x) = a×(1+r)^x

where,

f(x) = exponential growth function

a = initial amount

r = growth rate

x = number of time intervals

For given situation,

initial population: a = 2000,

growth rate r = 3.5/100

⇒ r = 0.035

f(x) = 3900

We need to find the nearest year to reach the population 3900.

i.e., to find value of x(years)

Using the exponential growth function,

⇒ 3900 = 2000(1 + 0.035)^x

⇒ 3900/2000 = (1.035)^x

⇒ 1.95 = (1,035)^x

⇒ [tex]x=log_{1.035} 1.95[/tex]

⇒ x = 19.41

⇒ x ≈ 19

Therefore, it will take 19 years to reach 3900.

Learn more about exponential growth here:

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drag each item to its correct place es de monomios​

Answers

Answer:

Step-by-step explanation:

-2x

Grado : 1

Coefficiente  : -2

Parte literal :   x

x²y⁴:

Grado : 2+4 = 6

Coefficiente  : 1

Parte literal :   x²y⁴

5. It is a method of describing a set, in words.
A. Roster Notation
C. Set Builder Notation
B. Listing Method
D. Verbal Description Method​

Answers

The correct answer choice is D. Hope this helps!!

Answer

There are two common ways of describing or specifying the members of a set: roster notation and set builder notation. These are examples of extensional and intensional definitions of sets, respectively

I dont get the question​

Answers

its asking how many points on the graph you need to move down and to the left or right to make the orange shape line up with the purple shape

Finance Application. Tony earned $8.25 per hour at his after school job. Each week he earned $80. Write and solve an equation to show how many hours he worked each week.​

Answers

Answer:

  9.6969 hours

Step-by-step explanation:

8.25x = 80

x = 9.6969 hours

Triangle CDA is the image of triangle ABC after a 180° rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180° rotation around the midpoint of segment BC.

Answers

Answer:ABCD and ABEC are parallelograms because they both have a pair of parallel lines.

DCE AND CEB are congruent angels

1. How can you tell the difference between the pre-image and image when only given the coordinates or a picture?

Answers

Answer:You need To tell them apart, they will usually be defined separately.

Step-by-step explanation:

Siguiendo la ley de los signos ¿qué signo obtenemos al multiplicar dos signos iguales?


•Suma?
•Menos?
•Positivo?
•Negativo?

Answers

Answer: Si se multiplica un número positivo por uno negativo, el resultado tiene signo negativo. Si se multiplican dos números con signos iguales, el resultado tiene signo positivo

Step-by-step explanation:

1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. His brother Simon has $75 saved but he does more chores so he gets $15 a week. What is the solution and how did you find it?

How long will it take for them both to have the same amount saved?

How much will they both have when they have the same amount?

Answers

Answer:

120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210

Step-by-step explanation:

120 +10w = 75 + 15w

120-75= - 10w+15w

45=5w

45/5=9

9 weeks

120 + 90 = 75 + 135

210= 210

Identify the number of terms in this polynomial.
5k^5+7k-2

Answers

Answer:

cuatro terminos

Dan has already written 27 pages,and he expects to write 1 page for every additional hour spent writing . After spending 21 hours writing this week ,how many pages will Dan have written in total ?

Answers

Answer:

48 pages total

Step-by-step explanation:

hope this helps

Which expressions are equivalent to 3x + 3(x + y)?
Choose all answers that apply:
A 6x + 3y
B 3(x + x + y)
C 3ay

Answers

3x + 3(x + y)

3x + 3x - 3y

6x - 3y

your answer would be A

Answer:

A and B

Step-by-step explanation:

3x+3(x+y)

3x+3x+3y

6x+3y

B

3(x+x+y)

3x+3x+3y

6x+3y

in which of these situations do the quantities combine to make 0? A. A dolphin swims 20 feet straight down from the surface. It then rises 20 feet to return to the surface. B. Scott earns $20 at his family's garage sale. He then earns $20 walking dogs for his neighbors. C. Travis receives $10 from a friend to pay for a concert ticket. He then spends $20 on tickets for his friend and himself. D. A scuba diver drops 30 feet below sea level. He then swims 30 feet across the ocean floor.​

Answers

Answer:

A. A dolphin swims 20 feet straight down from the surface. It then rises 20 feet to return to the surface.

Step-by-step explanation:

It goes down 20 then up 20

-20 + 20 = 0

Answer:

Answer A

Step-by-step explanation:

This is the correct option as you are going feet down and then 20 feet back up. So basically, an equation that would represent this is -20+20=0.

Solve the inequality:

u^2 > 8u + 33

Answers

Answer:

u<−3 or u>11

Step-by-step explanation:

u2=8u+33

u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)

u2−8u−33=0

(u+3)(u−11)=0(Factor left side of equation)

u+3=0 or u−11=0(Set factors equal to 0)

u=−3 or u=11

If 2KL=KL+MN, then KL=MN

Choose the definition, theorem, or postulate that justifies the statement.

A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality

Answers

Answer:

a. subtraction property of equality

Step-by-step explanation:

Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?

Answers

Answer:

Not enough context.

Step-by-step explanation:

Please give us the full question. How many chocolate chips in a muffin?

Will mark brainliest if correct!!!
(Evaluate 3 + 11t - 9u when t = 9 and u = 11)

Answers

Answer:

the answer is 3

Step-by-step explanation:

3 plus 99 minus 99

Answer:

3

Step-by-step explanation:

11 x 9=99

9x11=99

99+3=102

102-99=3

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