The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two numbers
Please help

Answers

Answer 1

Step-by-step explanation:

x = one odd number

the second odd number is (x+2), as both are consecutive.

so,

x × (x + 2) = 195

x² + 2x = 195

x² + 2x - 195 = 0

the formula to solve this is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -195

x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =

= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =

= (-2 ± 28)/2 = -1 ± 14

x1 = -1 + 14 = 13

x2 = -1 - 14 = -15 which is invalid as the numbers are positive.

so, the two numbers are 13 and 15.


Related Questions

Weighted Sums and Averages: Quarterback Ratings
Use the following equation to determine quarterback ratings.
25 + 10(%COMP) + 40(%TD) - 50(%INT) + 50(YD)
OR =
12
1. Using the equation above, find the quarterback rating for Dak Prescott, Dallas Cowboys
Quarterback for 2019.
.
.
% comp 65.1
% TD 5
% Int 1.8
YD 8.2

Answers

Answer:

22

Step-by-step explanation:

Mary has saved 17.50 in the past 3 weeks. How much has she saved in one week?

Answers

Answer:

5.83 per week

Step-by-step explanation:

hope this helps

Which of the following is NOT classified as nonverbal communication a. Signs b. Eye Contact c. Body language d. Gestures

Answers

Answer:

american sign language (ASL)

please someone help. I really need help with this question. I will give brainliest

Answers

Answer:

3/200

Step-by-step explanation:

total medicine = 9/50 liter

evenly divided into 12

so 1 prescription = 9/50  / 12

= 9/50*12

=3/50*4

=3/200

if angle PQR equal 15 degrees in the triangle PQR, what is the value of u?

Answers

Answer:

a.

Step-by-step explanation:

solve the proportion (someone pls help)

Answers

x=6

Step-by-step explanation:

4/3=8/6

[tex]\huge\underline\mathtt\colorbox{cyan}{As SIMPLE as that}[/tex]

The coordinates of the end points of TU are T(2,4) and U(11,13)

Answers

Answer:

[tex]T(2,4) and U(11,13)[/tex]

Step-by-step explanation:

3. drinking 8 glasses of water a day is good for your health. if each glass of water is equivalent to 148 mL, how many liters of water you need to consume everyday.

Answers

Answer:

pap

Step-by-step explanation:

papi

Answer:

1184 mL (148×8)= 1.184 liters

What is the slope of the line passing through the points (−3, 4) and (2, −1)?

3/5 this is a fraction by the way

1

−1

−53

Answers

[tex](x_1,y_1) = (-3,4),~~ (x_2,y_2) = (2,-1)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} =\dfrac{-1-4}{2+3} = \dfrac{-5}5 = -1[/tex]

Please help me please help meee

Answers

Answer:

A

Step-by-step explanation:

As it is 7 people that like blue

the container that holds the water for the football team is 1/3 full. after pouring in 13 gallons of water, it is 5/6 full. how many gallons can the container hold?

Answers

The container can hold 26 gallons.


1/3 is equal to 2/6
After 13 gallons, it went up to 5/3, meaning it went up by 3/6.
Since you wanna find the total gallons, 6/6, you just multiply 13 by 2 since 3/6 is half the container.

13 x 2 = 26

If PM = 6x + 7 and PN = 12x – 5. Find the length of PL.

Answers

Answer:

Step-by-step explanation:

6x+y=88-6. 4=2x-6. 10=2x. (X=5. 14 pm = PN =PL. 4X+7=12x-5. 7=88-5.

Does the following relationship represent a function?

Answers

No the relationship is not a function

What is the first step to solve the following equation:
7x = 42

Answers

Divide by 7, answer is 6
7x = 42

divide each side by 7

7x/7 = 42/7

x = 6

the answer is 6 :)

Which elements are involved in physical weathering?

Air, salt, rivers, sand, and ice
Air, water, ice, temperature, and plants
Animals, water, pressure, sediment, and gravity
Temperature, animals, ice, gravity, and plants

Answers

Answer:

heat, water, ice, or other agents

Step-by-step explanation:

Air salt rivers sand and ice

Find the value that makes the equation below true:

6r+7 = 13+7r

Answers

r=-6
just solve for x

Make each denominator rational. In other words, rationalize the denominator.

A) (√11-1)/√11

B) (3 + √6 )/√6

Answers

The detailed answer is there in the image I have attached.

Hope it helps you....

Please mark as Brainlliest!!!!

7. A diver dove to a location 4
a
meters below sea
level. He then dove to a second location meters
below sea level. How many meters are there
between the two locations?

Plz help me quick

Answers

Answer 1 3/5 meter below sea level

In this case, a diver goes into two different location expressed with "meters below sea level" unit. To know the distance between the two location, then you need to subtract it.

Step-by-step explanation:

Distance = 2nd location - 1st location

Distance = 8 1/5 meter below sea level - 6 3/5 meter below sea level= 1 3/5 meter below sea level

Work out the mean of √50, √18 and √8.

Give your answer in the form of a√2.

Show full working out.

Thank you!! <3

Answers

[tex]\frac{\sqrt{50}+\sqrt{18}+\sqrt{8}}{3} = \frac{10}{3} . \sqrt{2}[/tex]

ok done. Thank to me :>

what is the awnser to B

Answers

Using the concept of probability, the probability of rolling 2 sixes would be 1/25

From the tree diagram given :

P(6) = 1/5

The probability of rolling 2 sixes can be defined thus :

P(2 6's) = P(6) × P(6)

Hence,

P(2 6's) = 1/5 × 1/5 = 1/25

Hence, the probability of rolling 2 sixes is 1/25.

Learn more : https://brainly.com/question/14522818

A piece of fabric 78.25cm long was cut from a 200cm long piece to make a shirt. What percent of the fabric was left behind?

Answers

Answer:

39.125 %

Step-by-step explanation:

you use the cross multiplication method:

200cm = 100%

78.25 = ???

78.25 × 100

——————— = 39.125%

200

if you are willing to check your answer:

39.125 × 200

———————–— = 78.25 cm

100

I HOPE THIS WOULD HELP!

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Answer: 250=70x+50 For A

Step-by-step explanation:

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

Match the Definition with the Property.
Question 3 options:


Commutative Property


Symmetric Property


Transitive Property


Reflexive Property


Associative Property

1.
The order in which you add or multiply numbers does not affect the result.
2.

The way you group numbers when adding or multiplying does not affect the result.
3.
Any real number is equal to itself:
a = a
4.

Let's you switch the expressions on either side of an equation:
If a = b, then b = a
5.
If one real number is equal to a second real number, and the second real number is equal to a third real number, then the first real number must equal the third:
If a = b and b = c, then a = c

Answers

Answer:

Commutative Property

The way you group numbers when adding or multiplying does not affect the result.

Reflexive Property

he order in which you add or multiply numbers does not affect the result.

Step-by-step explanation:

If 3x 6 = 213x plus 6 equals 21, what does x 2x plus 2 equal?.

Answers

Answer:

17

Step-by-step explanation:

hope this helped

oletha rapples from the top of a cliff at a rate of -6 inches per second. It takes oletha 4 minutes to reach the bottom of the cliff. What is the height of the cliff in feet?

Answers

Answer:-120

Step-by-step explanation:multiply -6 by 60 seconds which it will give you  -360 in inch’s and then multiply -360 into 4 and that’s -1440 and then combert them into -120

(X-7)squared
Expand and simplify

Answers

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab +b²

(x - 7)² =x² - 2* x * 7 + 7²

            = x² - 14x + 49

40.8 divide by 12 pleas find it

Answers

Answer:

40.8 ÷ 12 = 3.4

Step-by-step explanation:

---------

The solution of expression 40.8 divide by 12 is, 3.4

The given numbers to divide are,

⇒ 40.8 divide by 12

Let us assume that, a is divided by b,

Then, it can be written as,

⇒ a / b

Hence, We can write as,

⇒ 40.8 / 12

⇒ 408 / 120

⇒ 3.4

Therefore, The solution of expression 40.8 divide by 12 is, 3.4

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ6

help help Please help​

Answers

Answer:

Rises 1 and runs -5

Step-by-step explanation:

The slope is 1/-5

Please help me!!! It would really help

Answers

Answer:

  D'(25, 0)

Step-by-step explanation:

Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.

  (x, y) ⇒ (5x, 5y)

  D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)

Someone pls help!

Gabby owns 35 chickens and each one produces three eggs per day. How many eggs can she collect each day?

Answers

Answer:

Well 35 chickens. Each produce 3 eggs a day. 35*3= 105

105 eggs per day

Answer:

105 eggs

Step-by-step explanation:

Number of eggs per day = number of chickens x eggs per chicken

35 x 3 = 105

105 eggs

-Chetan K

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