please help with question 3

Please Help With Question 3

Answers

Answer 1

Answer:

p = - [tex]\frac{2}{3}[/tex] , p = 2

Step-by-step explanation:

Using the discriminant to solve for p

Δ = b² - 4ac

The condition on the discriminant for 2 eeal and equal roots is

b² - 4ac = 0

Given

p²x² - (p + 2)x + 1 = 0

with a = p² , b = - (p + 2) , c = 1 , then

(- (p + 2) )² - 4p² = 0

(p + 2)² - 4p² = 0

p² + 4p + 4 - 4p² = 0

- 3p² + 4p + 4 = 0 ( multiply through by - 1 )

3p² - 4p - 4 = 0 ← in standard form

(3p + 2)(p - 2) = 0 ← in factored form

Equate each factor to zero and solve for p

3p + 2 = 0 ⇒ 3p = - 2 ⇒ p = - [tex]\frac{2}{3}[/tex]

p - 2 = 0 ⇒ p = 2


Related Questions

Using pennies, nickels, and dimes, how many
ways can you make 16 cents?

Answers

Answer:

16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.

Step-by-step explanation:

Answer:

1 dime, 1 nickel, 1 penny

Step-by-step explanation:

1 dime= 10 cents

1 nickel= 5 cents

1 penny= 1 cent

Solve this system of equations using the Substitution method.

3x + y = -2

y = 2x + 3

Answers

Answer:

Step-by-step explanation:

we see that y = -3x-3

substitute that into the other equation to get

-3x-3 = 2x+7

-5x = 10

x = -2

so, y = -3(-2)-3 = 3

check to make sure (-2,3) solves both equations.

what is -150 + -12 =?

Answers

Answer:

-162

Step-by-step explanation:

Answer:

your answer is -162

Step-by-step explanation:

if you owe someone 150 dollars and then you owe them another 12 dollars you'll owe them a total of 162 dollars. Your losing 162 dollars which is -162 form the amount that you have

Find the LCM of the numbers.
3,16,20

Answers

Answer:

240

Step-by-step explanation:

find multiples of 3 16 and 20 and multiply the multiples . you will get 240 .

i hop it helps you ❤

Find an equation of the line described. Write the equation in slope-intercept form when possible.
Through (-8, -7), perpendicular to the y-axis
The equation of the line is y=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answers

Answer:

-7

Step-by-step explanation:

Because the step in puting slope is respectly (x,y)

A computer and printer cost a total of $930 . The cost of the computer is two times the cost of the printer. Find the cost of each item.

Answers

Answer:

Computer: $620

Printer: $310

Step-by-step explanation:

c + p = 930

c = 2p

c = cost of the computer

p = cost of the printer

replacing the second eq. in the first eq.

2p + p = 930

3p = 930

p = 930/3

p = 310

from the second eq.

c = 2p

c = 2*310

c = 620

Check

from the first eq.

620 + 310 = 930

My question that I need help on

Answers

Answer:

Step-by-step explanation:

Plz help solve them thank you in advance!

Answers

#1

[tex]\\ \sf{:}\dashrightarrow 20m+(-16)m=20m-16m=4m[/tex]

#2

[tex]\\ \sf{:}\dashrightarrow 5m+(-16m)=5m-16m=-11m[/tex]

#3

[tex]\\ \sf{:}\dashrightarrow -9m+11m=2m[/tex]

#4

[tex]\\ \sf{:}\dashrightarrow -9m+(-11m)=-9m-11m=-20m[/tex]

Cole had 20 dollars to spend on 3 gifts. He spent 11 9 /10 dollars on gift A and 5 3 /5 dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

$2.50

Step-by-step explanation:

11 9/10 + 5 6/10 = 16 15/10 or 16 + 1.50 = 17.50

20 - 17.50 = 2.50

Explain how I got this wrong please

Answers

Answer:

x = 9

Step-by-step explanation:

Each angle equals 60 since it is an equilateral triangle

7x-3 = 60

add 3

7x = 63

divide by seven on both sides

x = 9

I hope this helps!!

find three consecutive number whose sum shall equal 45

Answers

Answer:

14, 15, 16

Step-by-step explanation:

n + n+1  + n + 2 = 45

3n + 3 = 45

3n = 42

n = 14

14, 15, 16

Someone please help me with this

Answers

Answer:

0.55=c

Step-by-step explanation:

0.55(2)=c

1.10=c

The total cost is $1.10

The difference of 2 times a number and 3/4 is 1/2​

Answers

2x-3/4=1/2

The answer is X=5/8

[tex]x(x-2)+3(x-2)=0[/tex]

Answers

Answer:

x = -3 or x = 2

Step-by-step explanation:

Given that,

x ( x - 2 ) + 3 ( x - 2 ) = 0

( x + 3 )  (  x - 2 ) = 0

So,

( x + 3 ) = 0                                ( x - 2 ) = 0

x + 3 = 0                                     x - 2 = 0

x = 0 -3                                        x = 0 + 2

x = (-3)                       or               x = 2

Hope this helps you.

Let me know if you have any other questions :-)

what are the answers to the equation please get back to me

Answers

Answer:

A

Step-by-step explanation:

Since you are multiplying -2 and 12, you can put them in any order as long as you get - 24/5

How does a value that is greater

than 100% of the original value or less than

1% of the original value compare to the original

value?

Answers

[tex] \: \: \: \: \: \: [/tex]

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -If the value is less than 1% of the original value, then it is smaller than the original value. For example, 0.1% of 6 is 6 0.1% = 6 0.001 0.006 < 6.

hope it helps

[tex]\huge \dag \sf{Answer \: it}[/tex]​
Refer to attachment.
Note: Spams not allowed.
Don't Copy
If you don't know the answer don't answer
Need Answer with explanation.
Thank You!​

Answers

Answer:

[tex]option \: (b) \: is \: ur \: answer \: to \: the \: question \: [/tex]

[tex]to \: know \: the \: answer \: with \: proof[/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

[tex]f = \frac{rn}{1 - r} [/tex]

[tex]\huge \tt༆ Answer ༄[/tex]

The required expression is ~ B

[tex] \boxed{ \sf \: F = \dfrac{ RN }{ 1 - R} }[/tex]

Refer to the attachment for Solution ~

Answer plz I need the answer

Answers

Answer:

D) 3x + 33

Step-by-step explanation:

3(x + 11)

3x + 33

Hope this helps! Pls give brainliest!

ANSWER: D. 3x + 33

EXPLANATION

simplify the equation.

When you have an equation with a number on the outside of the parentheses, multiply ever number inside by the number on the outside

So in this case you are multiplying x by 3 and 11 by 3

So you get 3x + 33

If you were to pour marbles into a cup of water, you would make a __________.

A. heterogeneous

B. homogeneous

Answers

Answer:

heterogeneous is the answer

Write a two-column proof.

I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF

Answers

Proof:-

In ∆TOP and ∆ZAP

[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]

Hence

∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)

Step-by-step explanation:

Statement                                                  Reason

∠O ≅ ∠A                                                    Given

TO ≅ AZ                                                    Given

∠OPT and ∠ZPA are vertical angles       Vertical angles theorem

∠OPT ≅ ∠ZPA                                           Definition of vertical angles

ΔTOP ≅ ΔZAP                                           Angle - angle -side AAS postulate

Please I really need help (50 points)
Provide the missing statements and reasons for the following proof.

Answers

Answer:

PROOF FOR THE "PROVE" SECTION:

As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.

Filling in the missing blanks:

S1. Angle 1, Angle 2, Angle 3

S2. Angle 1 and Angle 2

R3. Congruent (___)

R5. supplementary angles

S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)

Hope this helped! Have a great day (pls mark brainliest)!!

What are two equivalent fractions for 1/2 ?

Answers

The fractions which are equivalent to 1/2 are 2/4, 3/6, 4/8, 6/12 etc. Equivalent fractions have same value in reduced form.

what is the answer
????

Answers

Answer:

The answer is 22 feet.hope you like answer

Cory has $24 more than twice as much as Stan. Together they have $150. How much money does each have?

Stan has $50 and Cory has $74

Stan has $42 and Cory has $108

Stan has $63 and Cory has $87


Stan has $108 and Cory has $42

Answers

Answer: B Stan has $42 and Cory has $108.

Step-by-step explanation:

The awnser is Stan has $42 and Cory has $108 and $108 + $42 = $150.

                            CAN YOU PLEASE MARK ME BRAINLY.

represent 3 1/2 pictorically. pls fast​

Answers

Answer:

You are filipino or not I need filipino women

1.5 cm 1 30 cm 15 cm 20 cm Calculate the volume of the box using the external measurements.​

Answers

It is 3.50 cm……………….

What's the value of x?

Answers

Acoording to roman numerals,X is 10

Solve (x – 3)2 = 49. Select the values of x.

–46

-4

10

52

Answers

Answer:

There is no answer from my working the answer should be 55÷2

The value of x in the expression is 55/2 or 27½

From the question given above, we obtained:

(x – 3)2 = 49

The value of x can be obtained as follow:

(x – 3)2 = 49

Clear the bracket

2x – 6 = 49

Collect like terms

2x = 49 + 6

2x = 55

Divide both side by 2

x = 55 / 2 or 27½

Thus, the value of x is 55/2 or 27½

No option is correct.

Learn more about linear equation:

https://brainly.com/question/17053400

Mrs. Yamamoto is taking her class to the theater. The total cost for the students' tickets is $55.
Let y represent the number of students in Mrs. Yamamoto's class. Which expression
renresents the cost of each ticket in dollars?

Answers

Answer:

look it up i need my coins

Step-by-step explanation:

55 dollars divided by the cost of t tickets shows how many students there are.

Can anybody help ASAP please?

Answers

Answer:

statement 1) similar because of the shape

theorem 2)n to m

b) statement 1)similar because of shape

2)the two are triangle but the position has been changed

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