Mathematics High School

I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?

Answers

Answer 1

Answer:

35

Step-by-step explanation:

Please look at the attachment down below.

Hope this helped! :)

I Have A Friend Robert Who Is An Expert At Taking The Difference Of Consecutive Perfect Squares. This
Answer 2

The  sum of three number is 35.

What is Square?

A square number is the result when a number has been multiplied by itself.

For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.

Given:

if the number given is 9

9² - (9 - 1)² = 9² - 8²

                 = 81-64

                  = 17.

if the number given is 6.

6² - (6 - 1)² = 6² - 5²

                 = 36-25

                 = 11.

if the number given is 4.

4² - (4 - 1)²= 4² - 3²

                = 16-9

                = 7.

Thus, the sum of three number is

=17 + 11 + 7

= 35

Learn more about square here:

https://brainly.com/question/14198272

#SPJ2

Related Questions

Theo earned £15400 last year and spent 6% of his money on making home improvements. Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.

Answers

Answer:

15400 ÷ 6/100

Step-by-step explanation:

next step do yourself

I hope it will help you

answer this question​

Answers

It’s facing the left to its negative and if you count rise over run then the slope is -3 so

Correct answer is the last option
The answer is the last choice

Please help!



Select ALL of the expressions that are equivalent to
3.5 – (4.7).
3.5+ (-4.7)
4.7 – (3.5)
-4.7 + 3.5
3.5 +4.7
3.5 - (-4.7)


Answers

Answer:

Step-by-step 16

16 x 81

The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help

Answers

Answer:

Total income= $4,083.75

Step-by-step explanation:

First, we need to calculate the total number of people that enter the aquarium in the first two hours.

1st hour= 140

2nd hour= 140*1.25= 175

Total number of people= 315

Now, we can determine the total amount of money earned:

Each ticket cost 15.25.

Total income= 315*15.25

Total income= $4,083.75

Can you help me please?

Answers

Answer:

yes

Step-by-step explanation:

you can use the vertical line test- for every line going up and down there should only be one point. if there is one and only one, it's a function. if there are more than one per line, then it is not a function.

Ok last question its very "hard" mods don't delete

what is 3x+12= 42

Answers

Answer:

x is 10.

Step-by-step explanation:

3x + 12 = 42

Subtract 12 from both sides

3x = 42 - 12

Subtract 12 from 42 to get 30

3x = 30

Divide both sides by 3

x = 30/3

Divide 30 by 3 to get 10

x = 10

What is the correct factorisation of?
X^2+6x+8​

Answers

Answer:

Step-by-step explanation:

Given that: x  

2

+6x+8

                 =x  

2

+4x+2x+8,        (split middle term)

                 =(x  

2

+4x)+(2x+8),    (group pair of terms)  

                 =x(x+4)+2(x+4),         (factor each binomials)

                 =(x+4)(x+2),              (factor out common factor (x+4)

Hence factors of x  

2

+6x+8 are (x+4)(x+2)

x² + 6x + 8

= x² + 4x + 2x + 8

= x(x+4) + 2(x+4)

= (x+4)(x+2)

PLEASE HELP!!
if y(x) = 5x-2 and g(x) = 2x + 1, find (f + g)(x).

Answers

Answer:

(f + g)(x) = 7x - 1

Step-by-step explanation:

Given :  f(x) = 5x – 2 and g(x) = 2x + 1

We have to find  (f + g)(x)

Consider  (f + g)(x) = f(x) + g(x)

Also, given  f(x) = 5x – 2 and g(x) = 2x + 1

Substitute, we have,

f(x) + g(x) = 5x - 2 + 2x + 1

LIKE TERMS are terms having same variable with same degree.

Simplify by adding like terms,  we have,

f(x) + g(x) = 5x + 2x - 2  + 1

f(x) + g(x) = 7x  - 1

Thus, (f + g)(x) = 7x - 1

What is the answer to (a²)(a⁵)(a⁷)

Answers

Answer:

The answer would be a^70

Step-by-step explanation:

Hope this helped!! If it is wrong please tell me and I will re-check my answer. :)

Since there are parenthesis you just multiply the exponents and get A^70

Hope this helps

The cross country team practices by jogging on
the town’s streets. The average jogging rate
is 6 mi
les per hour. One member jogged for
3.5 hours one weekend. How many mi
les did
the team member jog?

Answers

21 miles because 6x3+3
21 miles because 6x3+3 I took the other persons answer lol

find the area of the circle with a cirumfererference of 30pi write your solution in terms of pi

Answers

Answer:

225 pi

Step-by-step explanation:

2pi r=30pi

pi r =15pi

pi r2=225pi

225 pi

3) In June a gallon of gasoline cost $2.75. In July the price increased to
$2.92. What is the percent of increase of a gallon of gasoline from June to
July? Round to the nearest tenth.

Answers

Answer:

6.2%

Step-by-step explanation:

Hard to explain, but easy. Take your new value, and subtract your initial (starting) value from the new value. In this case, it would be 2.95-2.75= 17. You now can take you difference (17) and divide it by the initial value, so 17/2.75. This gives you 6.181818182. Round to 6.2%

Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.

Answers

Answer:

%11.76

Step-by-step explanation:

400/3400x100 = 11.76

Move values to the lines to complete the sentence about triangle p’ q’ r’

Answers

Do u have an attachment?? :)

density of the cube is 9.86 g/cm³ and the volume is 150cm³ work out the mass in kg

Answers

Mass= Density *Volume

9.86 g/cm3 *150 cm3 =1479g

1479 g to kilograms

1479g= x

1000g = 1 kg

x = 1479 g / 1000 x = 1.479 kg.

The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the approximate percent of change in the cost of a gallon of gasoline?
A. 25%
B. 35%
C. 75%
D. 135%

Answers

Answer:B

Step-by-step explanation:

2.45(0.35)= 0.8575+2.45= 3.30

B. Because 2.45(0.35)=08575+2.45=3.30

SOMEONE PLEASE HELP ME WITH THIS QUESTION!

Answers

Answer:

i dont know but i have a pic for u

Step-by-step explanation:

At most 3 because 21% of 10 people is 2.1 people so the most would be 3 according to that statistic.

solve using a2 + b2 = c2
show the work please :)

Answers

Answer: 19.20937

Step-by-step explanation:

a2=15

b2=12

c2=?

a2+b2=c2

15(15)+12(12)= c2

225+ 144=c2

√369= √c2

≐19.20937 ft

3√41

Mary has a container filled with 20 ounces of cereal. Each day she eats 4.5 ounces
of cereal.
• Write an expression to represent the amount of cereal left after x days.

Answers

Answer:quin hill from ms Henry math class?!?!?!?! Why are you on brainly.....

Step-by-step explanation:3.1

Order -5,-7,0, and 4 from least to greatest

Answers

Answer:

-7,-5,0 and 4 is from the least to the greatest.

Answer:

-5,-7,0,4

Step-by-step explanation:

-5

-7

0

4

You count 100 chirps in 1 minute. What is the temperature?

Answers

Answer:

T = 50 + 100 - 40/4

T = 50 + 60/4

T = 50 + 15

T = 65

96 = 50 + x - 40/4

Subtract 50 from both sides:

46 = x - 40/4

Multiply by 4:

184 = x - 40

Add 40:

224 = x

Well, birds don't tend to like certain temperatures, and there seemed to be a lot of chirping, so I assume the temperature is the temperature a bird would like.

Now my turn.

If a ship has 26 sheep and 10 goats on board, how old is the ship's captain?

plz help this is what might get m to a 100 so plz help me

Answers

Answer:

I'd say it's the first dot in from the left (close to 2.4)

Step-by-step explanation:

the square root of 6 is 2.4494, and that's very close to 2.4

Help I need this now

Answers

Answer:

There is no question showing up so I dont know how to help u

Step-by-step explanation:

9(3+v)
answer pleaseee

Answers

Answer:

27+9v

Step-by-step explanation:

distribute



It’s distributing. You multiply 9 with 3 and v. And the answer will be :


= 27+9v

help i need help i really really need help no cap

Answers

5.83, 0.5, 0.085
your welcome
5.83, 0.5, 0.085 that’s the answer :)

help pls brainliest for whoever helps me ·ω·

Answers

Answer:

8

Step-by-step explanation:

Answer:

Answer is 8 :D

Step-by-step explanation:

The common factor of those 2 numbers are 1, 2,4,8 :)

In your own words what is the definition of reflection (in geometry)

Answers

Answer:

a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip

Step-by-step explanation:

You are building a door frame. The two sides are parallel and the top and bottom are also parallel. Which additional statement(s) give enough information to conclude that the door frame forms a rectangle?

Answers

Answer:

you would take away the bottom

Step-by-step explanation:

Help please!! Help me with this triangle

Answers

Answer:60°

Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.

Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).

Equilateral triangles have equal angles, meaning 60° for each angle.


Find the slope of the line segment.

Answers

Answer:

Option 3

Step-by-step explanation:

-2/3 since the line is a total of 3 the 2 is negative which would make it the answer meaning that is the only negative option.

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