5) If (x - 5) is a factor of 2r3 - 7px + (p - 12),
find the value of p.
{ANS: p = 7)​

Answers

Answer 1

Answer:

the value of p is 7

Step-by-step explanation:

Given function;

f(x) = 2x³ - 7px + (p - 12)

factor of the given function = x - 5

Apply remainder theorem to solve for p

f(x - 5) = 0

x - 5 = 0

x = 5

f(5) = 2(5)³ - 7p(5) + (p - 12) = 0

        2(125) - 35p  + p - 12 = 0

         250 - 34p  - 12 = 0

        238  - 34p = 0  

           34p  = 238

                p = 238/34

                 p = 7

Therefore, the value of p is 7


Related Questions

Mike needs to replace the carpet in his living room. The carpet he likes costs $7.50 per square foot to purchase and install. His living room measures 263.5 square feet. How much will it cost to replace the carpet?

Answers

Answer:

$1,976.25

Step-by-step explanation:

Since one square foot cost $ 7.50 we simply multiply that by 263.5.

263.5 × 7.50= $1,976.25

what is the measure of angle 3? Sorryyyy the question got cut off

Answers

Answer:

142

Step-by-step explanation:

angle <3 is supplementary to 5x + 3

5x + 3 + 21x - 5 = 180 (because two angles are supplementary as well)

26x  - 2 = 180 add 2 to both sides

26x = 182 divide both sides by 26

x = 7

<3 + 5x + 3 = 180 replace x with 7 and rewrite equation

<3 + 38 = 180 subtract 38 from both sides

<3 = 142

PLS HELP! I WILL GIVE BRAINLIEST!! AND THE REST OF MY POINTS!

Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?

Round the decimal to the nearest tenth.

Answers

(2.75 x 10⁵ ) / (2.25 x 10² )

= (2.75 / 2.25) x 10⁵⁻²

= 1.2 x 10³ times .

(That's 1,200 times as many.)

I hope this helps!

Answer:

1221.2 times more

Step-by-step explanation:

number of bacteria last week = [tex]2.25*10^2[/tex]

= [tex]2.25*100[/tex]

= [tex]225[/tex]

number of bacteria this week = [tex]2.75*10^5[/tex]

= [tex]2.75*100000[/tex]

= [tex]275000[/tex]

[tex]275000 - 225 = 274775[/tex]

[tex]274775 / 225 = 1221.2[/tex]

Maria needs to be at the airport terminal at 15:20. It will take

2 1/3






hours to drive to the airport from her home, and a further 30 minutes to park and get to the terminal.

What is the latest time she should leave home?

Give your answer as a time in the 24-hour clock.

Answers

Answer:

12:30

Step-by-step explanation:

What is the value of f(3) in the function below?
F(x) = 2^x

A. 8

B. 4

C. 16

D. 6

Answers

Answer:

A. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2ˣ

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(3) = 2³Evaluate:                                                                                                           f(3) = 8

Answer:

it's 8

Reason:

substitute x=3 into the function....it'd be 2³, which is 8


what is

6
+0.2
————-

Answers

6.2 because it is simply addition

Answer:

Your correct answer will be 6.2

Step-by-step explanation:

First, we line up the decimal points,  0.2 plus 6.0, always add 0 to the number without the decimal.

Last, you just add them, and you will get 6.2

Mark me brainliest and have a good day!

Please help me, Please

Answers

Answer:

7th graders in the school

Step-by-step explanation:

if she wants to know what 7th graders like, ask 7th graders since no one els would know as good as 7th graders themselves

Answer:

A.7th graders in the school

Step-by-step explanation:

Because she specifically wants to find the favorite activity of 7th grade students she should sample only 7th grade students to get the best and most accurate results.

HELP ASAP PLS I NEED HELP

Answers

Answer:

B

Step-by-step explanation:

r^2 is 0.9997, and after 10 years it'll be 95660

Determine f’s end behavior

f(x)= -5x^6+8x^5-1/ x^2 -9

Answers

Answer:

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

Step-by-step explanation:

The given function is;

f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)

Using long division to divide this as attached, we have;

f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)

Thus, the leading coefficient here is -5 and the polynomial degree is 4.

Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

what is the answer to -2/3x + 9 = 4/3x - 3?

Answers

Answer:

x = 6

Step-by-step explanation:

[tex]\frac{-2}{3}x+9=\frac{4}{3} x-3[/tex]

-2x = -12

x = 6

Answer:

x = 6

Step-by-step explanation:

Ranking brainliest if correct :)) thanksss

Answers

Answer:

Y=40 X=75

Step-by-step explanation:

i think im not 100% on that, been a long time since i did stuff with triangles

Answer:

gdjksbdifkfnfuwiaksujdbf

Just need some help please

Answers

Answer:

It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.

I’m pretty sure you cut out an answer choice because none of those listed are correct so It should be D if D is “y=4/5x-2”. It’s NOT B because the line on the graph is positive and not negative.


Instructions: Find the equation of the line through point (3, 4) and perpendicular to y = –2x – 4

Answers

Answer:

y=1/2x+5/2

Step-by-step explanation:

y=ax+b

vuông góc với y = –2x - 4 ⇒a.(-2) =-1⇒a=1/2

phương trình của đường thẳng đi qua điểm (3, 4) ⇒4=3.1/2+b⇒b=5/2

⇒y=1/2x+5/2

What is the answer?

Help me please this is due today

Answers

Answer:

Write the number 12489 in words

Help me please random strangers on the internet!

Answers

Answer:

66 ft

Step-by-step explanation:

model: real life

1 inch : 12 ft

We have 5.5 inches so we need to multiply each side by 5.5 inches

model: real life

1 *5.5 : 12 *5.5

5.5 in: 66 ft

Answer:

66 feet

Step-by-step explanation:

1 inch of a model represents 12 feet of a real shuttle

5.5 inches as height of a model will represent 12 × 5.5 feet as height of a shuttle

=66 feet

The graph represents the piecewise function:


100 POINTS !!!

Answers

Sorry I never did that before.

PLEASE PLEASE PLEASE HELP ME WITH THIS ASAP

You can transform ⨀V to ⨀V' by translating it and then performing a dilation centered at V'. Find the translation rule and the scale factor of the dilation.

You can transform ⨀V to ⨀V' by translating it and then performing a dilation centered at V'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Translation: (x,y)↦ ( _____, _____)
Scale factor: ______

Answers

Answer:

scale factor: 2

translation: (x+2, y+7)

Step-by-step explanation:

What Did You Understand In The Picture

Answers

sun that is shown with the help of lane

Can someone please help me get surface area and lateral surface area

Answers

Answer:

Step-by-step explanation:

suface area of base=1/2×9×7.8=9×3.9=35.1 yd²

lateral surface area=3×1/2×9×10=135 yd²

total surface area=135+35.1=170.1 yd²

i assumed it is an equilateral triangular base.

as √(7.8²+4.5²)=9.0049≈9

Thank you to whoever helps :)

Answers

(-5, -1)

Hope this helps! :)

The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96​

Answers

Answer:

(c) 84

hope this helps!!!!

simplify :
26-10/2x5+3

Answers

Answer:

16/13 is the answer.

26-10 is 16 and 2x5+3 is 13

Answer:

4

Step-by-step explanation:

26 - 25 + 3

I Need help with thistle...

Answers

Anthony was the one who read more.

Answer:

Anthony

Step-by-step explanation:

Mehod I - Common denominator

Use common denominator of 5 * 8 = 40

Cody

3/5  = 24/40

Anthony

5/8 = 25/40

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

Method II - convert to decimal

Cody

3/5 = 0.6

Anthony

5/8 = 0.625

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

Either way

Anthony read a greater fraction

What is the amount of the average rate of change?

Answers

Answer: constant, average rate of change= -2

Explanation: use the (rise/run) method to find the average rate of change.

m=(-2/1)

Does anyone know the answer to this?

Answers

Answer:

3

Step-by-step explanation:

Answer:

The answer is number 2

Step-by-step explanation:

Since the price of a quarter is 25 cents we put the .25 it next to the Q and since dimes are worth 10 cents we put the .10 next to the D. D + Q should equal 30 since that is the total number of coins and the other should equal 4.80

Joanne is playing a game with her friends. She is
not doing very well. Currently Joanne is in debt 420
points. On her next turn she loses another 30
points. What is Joanne's score now?

Answers

Answer:

390 points

Step-by-step explanation:

Previous points = 420 pointsPoints she lost = 30 points

⇒ New score = (420 - 30) points

New score = 390 points

Joanne's score is now 390 points.

In one city, 24% of adult smoke. In groups of size 130 of adults , what is the variance of the number that smoke ?

Answers

Answer:

[tex]X=24[/tex]

Step-by-step explanation:

From the question we are told that:

Probability of  having a smoker [tex]P(s)=0.24[/tex]

Sample size [tex]n=130[/tex]

Generally the equation for Variance X is mathematically given by

 [tex]X= np(1-p) =[/tex]

 [tex]X= (130)(0.24)(1-0.24)[/tex]

 [tex]X = 23.712[/tex]

 [tex]X=24[/tex]

The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.

Answers

c) Salaried pay. Salaried employees make more per week than hourly employees.

Answer:

C. Salaried pay. Salaried employees make more per week than hourly employees.

Step-by-step explanation:

edge 2021

86 + 16.95 - 3-0042
PLEASE HELP ME​

Answers

Answer:

86 + 16.95 - 3 - 0042

86 + 16.95 = 102.95

102.95 - 3 - 0042 = 57.95

PLZ HURYY
THANK YOUU​

Answers

y = -19

I started by adding 18 to both sides(inverse operation) then dividing by -2 to isolate the variable. What you do to one side must be done to the other

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