Let p=3x+4. Which equation is equivalent to (3x+4)^2-36=15x+20 in terms of p

Answers

Answer 1

Answer:

The equation is "[tex]\bold{p^2-5p-36=0}[/tex]"

Step-by-step explanation:

Given:

[tex]\to p=3x+4[/tex]

evaluate [tex](3x+4)^2-36=15x+20[/tex] in terms of p=?

[tex]\to (3x+4)^2-36=15x+20\\\\\to (3x+4)^2-36=5(3x+4)\\\\\to p^2-36=5p\\\\[/tex]

Expression in terms of p:

[tex]\to \bold{p^2-5p-36=0}\\\\[/tex]

[tex]\to p^2-(9-4)p-36=0\\\\\to p^2-9p+4p-36=0\\\\\to p(p-9)+4(p-9)=0\\\\\to (p-9)(p+4)=0\\\\\to p-9=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to p+4=0\\\\\to \bold{p=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to p=-4}\\\\\to 3x+4=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to 3x+4=-4\\\\\to 3x=5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to 3x=-8\\\\\to x=\frac{5}{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to x=- \frac{8}{3}\\\\[/tex]

The value of p: 9 and -4

Equation is: [tex]\bold{p^2-5p-36=0}[/tex]


Related Questions

find the quantity whose 17 % is rupees 8500​

Answers

Rs 121428.5714 is Answer:

let quantity be x

17% of x=Rs 8500

x=8500×100/7=Rs 121428.5714

9 x [5 - (9 divided by 3)]

Answers

Answer:

9 X [5-(9divided by 3)] = ?

Answer is 18.

I put the equation into my calculator and solved it.

Step-by-step explanation:

Hope that this helps1 :)

Have a great rest of your day!

Answer:

18

Step-by-step explanation:

9 * (5 - (9 divided by 3))

9 * (5 - 3)

9 * 2

= 18

:)

Slove the Equation
-8(k + 46) = -5.

(Please include step-by-step)

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

[tex]{k = - \frac{363}{8} \: \: \: or \: \: - 45 \frac{3}{8} } \\ [/tex]

Step-by-step explanation:

-8(k + 46) = -5

Expand the terms on the right

-8k - 368 = - 5

Add 368 to both sides of the equation

- 8k - 368 + 368 = - 5 + 368

- 8k = 363

Divide both sides by - 8

[tex] \frac{ - 8k}{ - 8} = - \frac{363}{8} \\[/tex]

We have the final answer as

[tex]k = - \frac{363}{8} \: \: \: or \: \: - 45 \frac{3}{8} \\ [/tex]

Hope this helps you

What is a third-degree binomial?

Answers

Answer:

B and D

Step-by-step explanation:

Binomial = 2 terms in the expressionThird degree = highest added degree of variables in one term

(A) It has 3 terms and highest degree of 4. It is trinomial of degree 4.

No

(B) It has 2 terms and highest degree of 3. It is binomial of degree 3.

Yes

(C) It has 2 terms and highest degree of 7. It is binomial of degree 7.

No

(D) It has 2 terms and highest degree of 3. It is binomial of degree 3.

Yes

Need help asapp!!
- x < 5
- x > 5

Answers

Answer: it A

Step-by-step explanation: Hope this help :D

The answer is A good luck!

8) Nina says the mean of the scores 6, 7, 4,0 and 3 is 5 because she added the scores and divided by 4. Is she correct? Choose the correct answer below. * Nina is not correct. Although she took the correct steps to find the mean, her division is incorrect. Nina is not correct. She divided by 4 when she should have divided by 5. She may have not included the score of 0. Zero is a valid data value. Nina is not correct. After adding the scores, she should have multiplied by 4 rather than dividing. She is correct. She took the correct steps to find the mean and performed her calculations correctly.​

Answers

Answer:

Nina is not correct because she divided by 4, whereas she should’ve divided by 5.

Step-by-step explanation:

To find the mean, we add and divide by however many numbers. In this case, 6 + 7 + 4 + 0 + 3 = 20. Now, we divide by 5, because there are 5 scores in the data. This is where she went wrong, as she divided by 4. Instead, she should’ve divided by 5. This would’ve given her a mean of 4.

PLEASE HELP ME I AM DESPERATE

Answers

Answer: B 5+5=10+4+4+4=12+3 10+12+3 25 lol

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Perimeter is addition of all the sides

so add them

5+4+4+3+4 =20

There are approximately 1.2 × 10^8 households
in the U.S. If the average household uses 400
gallons of water each day, what is the total
number of gallons of water used by households
in the U.S. each day?

Answers

Answer:

i tried and i got pie something

Step-by-step explanation:

4(5r-3)-2(6r-7)=

Please help me

Answers

Answer:

8r + 2

Please mark me as brainliest.

if G is centroid of triangle ABC and AC = 32. Find the length of CE

Answers

Answer:

16

Step-by-step explanation:

From the diagram;

AC = 2CE

Given that AC = 32

32 = 2CE

Swap

2CE = 32

CE = 32/2

CE =16

Hence the length of CE is 16

8x + 10 + 5x + 6 Combine like terms please

Answers

Answer:

8x+5x+10+6=

13x+16 this is ur answer

13x + 16 is your answer.

“Like terms” means everything with an x gets added to/subtracted from everything with an x, everything with a y gets added to/subtracted from everything with a y, etc. And everything that’s just a number, with no variable, gets added to/subtracted from the other numbers. Hope this helps.

The Ellisons have insured their home for $890,000. Their personal property
coverage is 50% of the amount of their home coverage. The personal liability
coverage is 45%, and loss of use coverage is 20%.

a. What is the amount of coverage for personal liability?

b. What is the amount of coverage for personal property?

c. What is the amount of coverage for loss of use?

HELP PLEASE AND THANK YOUUUUU

Answers

When the Ellisons' home is insured for $890,000, the amount of personal property coverage is 445,000.

What is amount ?

How much of whatever there is, whether it be liquid, resistance, or stimulation, is referred to as its amount. The word "amount" actually refers to quantities that we can measure but not count individually. When describing the size or number of non-count nouns, the word "amount" is employed. quantities, amounting, and amounted. flexible noun The quantity of something is how much there is, how much you have, how much you require, or how much you obtain.

given

400,500 is the personal liability coverage amount = 890000/100 * 45%.

The personal property coverage amount is 890000/100 * 50% = 445000.

The coverage for loss of use is 890000/100 * 20%, which equals 178000.

When the Ellisons' home is insured for $890,000, the amount of personal property coverage is 445,000.

To know more about amount visit :-

https://brainly.com/question/8082054

#SPJ1

Solving the following system using the elimination or the substitution method.
5a+3b=11
-2a+3=b
(SHOW ALL WORK)

Answers

Answer and Step-by-step explanation:

For these system of equations, it would be easier to use the substitution method, as we are have one equation that is being equaled to a variable.

Plug the second equation into the value of b for the first equation.

5a + 3(-2a + 3) = 11

Distribute the 3.

5a - 6a + 3 = 11

Simplify.

-a + 3 = 11

Subtract 3 from both sides of the equation.

-a = 8

Divide both sides by -1.

a = -8

Now, we can plug this value into the second equation.

-2(-8) + 3 = b

Multiply -2 and -8 together.

16 + 3 = b

Add together 16 and 3.

19 = b

a = -8

b = 19

#teamtrees #PAW (Plant And Water)

Which statement best describes {(2, 3), (3, 2), (5, 3), (0,5))? A The set represents y as a function of x because each x-value corresponds to exactly one y-value. B The set does not represent y as a function of x, because two of the x-values correspond to the same y-value. C The set does not represent y as a function of because there are more y-values than different corresponding y values D The set represents y as a function of x because each y-value corresponds to exactly one x-value​

Answers

Answer:

D The set represents y as a function of x because each y-value corresponds to exactly one x-value​

Step-by-step explanation:

The radius of the circle below intersects the unit circle at (3/5,4,5) . What's the approximate value of e

Answers

Answer:

[tex]\theta = 53.13 degrees[/tex]

Step-by-step explanation:

From the question we are told that:

intercept co_ordinate (x,y)

(3/5,4,5)  

Generally the value for [tex]\theta[/tex] is mathematically given by

[tex]cos \theta = 3/5\\sin \theta = 4/5\\\theta = cos^-1 (3/5 )[/tex]  

[tex]\theta = 53.13 degrees[/tex]

What are the 2 largest desert of East Asia? I WILL GIVE YOU THE BRAIBLIEST!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

Gobi Desert and karakum desert

Step-by-step explanation:

help agian this is really hard

Answers

Answer:

true,true,false,false

Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form

Answers

Answer:

`1/3

Step-by-step explanation:

slope = 4. I took 2 points, (1,4) and (9,6) and did the slop formula to them, rise/run.

help pleaseeeeeeeeeeeeeeeee

Answers

Answer:

A=105.84

Step-by-step explanation:

Explanation is in the file. This is real. I just typed it up and took a screenshot. If you don't trust me, then don't look.  

Please brainliest! I worked so hard!

the diameter of jacob's circular table is 6 feet. what is the area,in square feet, pf jacob's tabletop?

Answers

Answer:

28.26

Step-by-step explanation:pie x r^2

Nancy winter local zoo that featured 11 monkey exhibits if these monkey exhibit make up 55% of the zoo exhibits then how many exhibits does the zoo have until the round your answer to the nearest whole number if necessary​

Answers

Answer:

20 total exhibits at the zoo

Step-by-step explanation:

55% of 20 = 11 (monkeys)

Find the smallest solution to the equation 2/3 x^2 =24

Answers

Answer:

\frac{2x^2}{3} =24

Step-by-step explanation:

times both sides by 3

2x²=72

divide both sides by 2

x²=36

sqrt both sides

x=+/-6

x=-6 or 6

-6<6 so -6 is the smallest solution

yo i need help please i’ll give a brainliest to whoever gets the correct answer

Answers

Answer:

Student B because an irrational number cannot be of the form p/q

Step-by-step explanation:

used my brain

Which unit of length would a microscope best help to see?

A 1 kilometer

B 1 meter

C 1 millimeter

D 1 centimeter

Answers

The answer is C 1 millimeter

(Other 6% ) (Wood Products 9% ) (25% Trade) (Manufacturing 19% ) (20% Services) (Gov't - Edu. 21%) (Total 949,200) How many people worked in Service jobs?

A. 1,898.40
B. 18,984
C. 189,840
D. 1,898,400​

Answers

Answer:

I think C is your answer.

It's just a guess.

Step-by-step explanation:

What is the length of cd? (I NEED HELP ASAP)

Answers

Answer:

5

Step-by-step explanation:

count the spaces between them

4−0.25g+0.5h4, minus, 0, point, 25, g, plus, 0, point, 5, h when g=10g=10g, equals, 10 and h=5h=5h, equals, 5.

Answers

Answer:

4

Step-by-step explanation:

Given:

4 - 0.25g + 0.5h

When,

g = 10; and h = 5

4 - 0.25g + 0.5h

= 4 - 0.25(10) + 0.5(5)

= 4 - 2.5 + 2.5

= 4

Therefore,

4 - 0.25g + 0.5h = 4 when g = 10 and h = 5

lf 60% of a number is 90, what is it number? a)30 b)54 c)150 d)180​

Answers

Hogshodoydyioyyxxgjgxxigxxgigxix

hii, i'd love some help on this!! <3

Answers

Answer:

ummm 3rd answer. i did this i forgot. sorry if i got it wrong for you. at least i tried

Step-by-step explanation:

Marcel rides his bicycle to school and back on Tuesdays. He lives 2.62 kilometers away from school. What is the total amount of distance that Marcel rides his bike on a given Tuesday?

Answers

Answer:

5.24 kilometers

Step-by-step explanation:

Marcel rides his bike to and fro to school every Tuesdays

He lives 2.62 kilometers away from the school

The total amount of distance he rides every Tuesday can be calculated as follows

= 2.62×2

= 5.24 kilometers

Hence the total distance he rides to school is 5.24 km

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