Sam used the identity [tex](a+b)^{2}[/tex] to solve [tex]103^{2}[/tex].
the steps he used are listed below.
Step 1 :[tex](100+3)^2\\[/tex]
Step 2 : [tex](100)^2 + 3^2[/tex]
Step 3 : 10,000 +9
Step 4 : 10,009
In which step did he go wrong?
a)Step 1
b)Step 2
c)Step 3
d)Step 4

Answers

Answer 1

Answer:

Step 2

Step-by-step explanation:

(100 + 3)² = 100² + 2 x 100 x 3 + 3²

This is by the law of squares
(a + b)² = a² + 2ab + b²

Answer 2
answer: step 2
explanation: you have to add 100+3 for step two

Related Questions

Find the value of "x".

Answers

Answer:

49 . hope you found it helpful

11. After serious negotiating, you got 25%
discount on a pair of Kobe Sneakers. If the
original price of the sneakers was $140, what
is your new price?
12. Lupe got a 12% discount on a new phone.
What was the new price if the original price
was $890?
Tax and Tip problems.
13. A bicycle is on sale for $189.50. The sales tax
rate is 10.1%. What is the total price?
14. Japree bought 3 shirts for $18 each and a pair
of slacks for $45. The sales tax rate is 9.5%.
How much did he pay?
15. Jasmin with to the salon. The cost of her
haircut was $35. She tipped the hairdresser
15%. What was the total cost?
16. The Smith family went to dinner at
Moctezuma's. Mr. Smith ordered a meal for
$10.25, Mrs. Smith ordered a meal for
$15.85; the 2 children ordered identical
dishes for $7.50. They left a 20% tip. How
much was their total?

Answers

Answer:

11: $35

12. $106.8 (This one is the one I'm the most skeptical about)

13. $208.26

14. $109.42

15. $40.25

16. $43.32

Heya! This was a lot for one question, but I went through and attempted to solve them all. My answers could be well off, but I thought it would at least be worth a try. I hope this helps at least a little bit!

pamala has 84 and alannah had 12$ how money must pamala give to so that alanny will three times as much as pamala

Answers

In order to make the Alannah's money 3 times the Pamala's money, Pamala need to give Alannah $ 60.

Money with Pamala = $ 84

Money with Alannah = $ 12

Now let the money given by Pamala to Alannah be x

So, for money with  Alannah to become 3 times of the money with Pamala, we get the equation as:

3 ( 84 - x) = ( 12 + x )

252 - 3 x = 12 + x

3 x + x = 252 - 12

4 x = 240

x = 240 / 4

x = $ 60

Pamala gave Alannah $ 60.

Therefore, we get that, in order to make the Alannah's money 3 times the Pamala's money, Pamala need to give Alannah $ 60.

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Brainliest to correct answer

Answers

Answer:

If a relationship between two quantities is not proportional then when the fraction is reduced there should not be an equal ratio and the graph should not be a line that passes through the origin.

Helppppppppppppppppp

Answers

Answer:

if it's asking for the like point it would be (3,3)

Step-by-step explanation:

i apologize if that's not what it is asking for

What is the value of x for which (8-x)^2=x^2

Answers

Answer:

x = 4

Step-by-step explanation:

[tex] {x}^{2} = {(8 - x)}^{2} [/tex]

[tex] = > {x}^{2} = {x}^{2} - 16x + 64[/tex]

[tex] = > {x}^{2} - {x}^{2} + 16x = 64[/tex]

[tex] = > 16x = 64[/tex]

[tex] = > x = \frac{64}{16} = 4[/tex]

Step-by-step explanation:

(8 - x)² = x²

=> 8 - x = x or 8 - x = -x (rejected)

=> x = 4.

Which expression is equivalent to 1/5 m - 20?
A 1/5 (m - 4)
B 1 /5 (m - 100)
c. 5(m - 4)
D 5m - 100)​

Answers

Answer:

A

Step-by-step explanation:

Hopefully this helps

Find the coordinates of the image after the translation
of line RS with vertices: R(-2,-4) and S(0,2).
Translation: (x,y) --> (x-3, y+4)

Answers

Answer:

If I woke up without ya

I don't know what I would do

Thought I could be single forever 'til I met you

Usually don't be fallin', be fallin', fallin' first

You got a way of keeping me comin' back to back

I just found out the only reason that you lovin' me

Was to get back at your ex lover but before you leave

Usually I would never, would never even care

Baby, I know she creepin' I feel it in the air

Step-by-step explanation:

I would like help again please and thank you for your help ? If you purchase a $24 pair of shoes at a 10% discount
and a $10 belt at a 25%
discount, what is the total
Of the discounts you
receive. What is the
total price you owe,
before tax

Answers

Answer:

With the discounts, you saved a total of $4.90. You still owe $29.10.

Step-by-step explanation:

Shoes:

10% of 24 is 2.4

The shoes cost 21.60  with the 10% discount and before tax.

Belt:

25% of 10 is 2.5

The belt cost $7.50 with the 25% discount and before tax.

Total:

You still owe 29.10 for the belt and shoes before tax.

You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)

I need help on a question ​

Answers

What’s the question?

hmm what is 5567x443

Answers

Answer:

2466181 is the answer

2466181 would be your answer

Find m angle 4. SOLVE step by step CORRECTLY !!!! Please help !!!!!!!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

The role that an organism plays within the area it lives is known as its

Question 5 options:

A.Nest


B.Habitat


C.Home


D.Niche
I will report you if you try to steal my points

Answers

Answer:

D

Step-by-step explanation:

Ecology definition of niche

I believe The answer is D

Answer the question please and thank you!

Answers

-62% ,-3\5 , 0.4 ,44%

Answer:

44%, 0.4, -3/5, -62%

Step-by-step explanation:

Descending is greatest to least so:

44% is 44/100 so its 0.44

0.4 is pretty straightforward

-3/5 is -0.6

-62% is -0.62

The temperature in Anchorage, Alaska, was –3°C in the afternoon. After the sun went down, the temperature dropped 6 degrees.
What was the temperature after the sun went down?

Answers

Answer:

Step-by-step explanation:

ion

Which statements are true regarding the expression below? Check all that apply. 8^-1×8^-3×8
○the last factor,8, with no exponent shown is equivalent to 8^0
○the sum of the exponents is -3
○ the value of the expression is -512
○the value of the expression is 1/512
○an equivalent expression is 8^7×8^-10
○ an equivalent expression is 8^-2×8^-2 ​

Answers

Answer:

D and E are true.

Step-by-step explanation:

a) 8 with no power is not equivalent to 8^0 => FAULSE

b) the of the exponents is -4 => FAULSE

c) the value of the expression is not equal to -512 => FAULSE

d) (YES) the value of the expression is 1/512

e) (YES) an equivalent expression is 8^7 * 8^-10

f) is not an equivalent expression is 8^-2×8^-2 => FAULSE

Which expression is the same as 400.902

Answers

Answer:

4*100+.9*0.1+.002*.001

Step-by-step explanation:

Can y’all help me plzzzz

Answers

Answer:

D

Step-by-step explanation:

15 tickets were solds right as 150 dollars were made.

Answer:

D- 10 is your slope

Step-by-step explanation:

you can see that the point it directly goes through is (15,150)

if you do rise/run to determine the slope, you would get 150(rise)/15(run)

which gives you 10!

In a right angled triangle, right angle at C, if AB = 32 cms and sin B=5 by 8 find AC ​

Answers

The numerical length of side AC is 20 units

How to determine the length of AC?

The given parameters are:

AB = 32 cm

sin(B) = 5/8

The possible triangle is added as an attachment

From the attached triangle, we have the following sine ratio

sin(B) = AC/AB

This gives

5/8 = AC/32

Multiply both sides of the triangle by 32.

So, we have

AC = 32* 5/8

Evaluate the product

AC = 20

Hence, the numerical length of side AC is 20 units

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Find the next term in the series:
0,1,1,2,4,7,13, 24...
Please help I will give brainliest to the correct answer

Answers

Answer:

44

Step-by-step explanation:

This is called the Tribonacci sequence. In this sequence, you add the last 3 numbers together to get the next number in the sequence.

For example, 0+1+1=2, 1+2+4=7, 4+7+13=24 and so on.

7+13+24=44

44 is the next number in the sequence

If f(x)=x^3+11x^2+31x+21 and x+1 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebraically.

Answers

9514 1404 393

Answer:

  {-1, -3, -7}

Step-by-step explanation:

Dividing the given polynomial by (x+1) yields a quotient of x^2 +10x +21. That factors as (x+3)(x+7), so the three zeros are ...

  x ∈ {-1, -3, -7}

__

The factors of x^2 +10x +21 are found by looking for factors of 21 that have a sum of 10. Those factors are 3 and 7, so the complete factorization of f(x) is ...

  f(x) = (x +1)(x +3)(x +7)

The zeros are the values of x that make these factors be zero. In each case, that x-value is the opposite of the constant in the binomial term.

Fadil sells televisions. He earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. If Fadil sells 11 televisions with extended​ warranties, he earns $770. How much is the fixed amount Fadil earns for each​ television

Answers

Answer:

770.00 divided by 11 = total cost of 70.00 per tv, subtract 20.00 for extended warranty, TVs were 50.00 each.

Answer:

$50

Step-by-step explanation:

Given: The amount earned by Fadil on selling 11 televisions= $770

Therfore, the amount he earned on selling 1 television=

[tex] \frac{770}{11} [/tex]

=$70

Since, he sold televisions with extended warranty and he earns $20

Then, the fixed amount Fadil earns for each television= $70-$20=$50

So, Fadil earns $50 as the fixed amount for each television.

What is the reciprocal of 2 4/5 ?​

Answers

Answer:

5/14

Step-by-step explanation:

Answer: 14/5.

Step-by-step explanation;

The reciprocal of 2-4/5 can be found by multiplying the whole number (2) by the denominator (5) and then add the amount to the numerator (4), this will give you fourteen, which is now the numerator of the reciprocal fraction. The denominator will stay the same, so the reciprocal of 2-4/5 is 14/5.

PLEASE HELP IT IS URGENT I WILL MARK BRAINLIEST

Answers

Answer:

i think c

Step-by-step explanation:

1.What is the difference btw the interest banks pay you for keeping an account & a fee for an account?

2.When you open a checking account, what do you need to have with you?

3.What are three tips for writing checks?

4.What could happen if you do not keep track of the checks you write?

5.What is it call when you put money into your account?

Answers

Answer:

1. I believe that the difference between  keeping an account & and a fee for an account is checking accounts don't have much interest, and are better for more purchases in bills and payments. For a fee like saving accounts, it's better for saving the money and such things like that.

2. You must require your two forms of identification. Which is a Social security card, driver's license, a state ID, and a passport or birth certificate at most. This is what you need to have with you when opening a checking account.

3. Use decimal points in order to tell the differences between dollars and cents. Those can easily mix up. Put a accurate date of what time you signed the check. Put out the amount in words, it helps a lot just incase they can't read the numbers.

4. If you could not keep the track of checks you write, it could mean that you have bounced the check. "Bouncing" the check means that you don't have enough money in your account to provide paying for it. Therefore, the bank gives you multiple fees and a organizer of all checks that you could not afford because you were not keeping up with the track of checks you wrote.

5. This is called a cash deposit.

Hope this helps! :))

O A. -2
O B. -1
C. 2
D. 1

Answers

Answer:

c is the right answer for the problem

Answer:

A.) -2

Step-by-step explanation:

Y = -6

X = 3

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

-6/3 = -2

Therefor your slope to this graph is -2

HELPP I need the answer

Answers

Answer:

H(1 , 0.5)

F(3 , 2,5)

G(5 , 0.5)

Step-by-step explanation:

First step is to get the coordinates of the points.

H(2,1)

F(6,5)

G(10,1)

To find the vertices after a dilation, we multiply the coordinates by the scale factor of the dilation. Since the scale factor is 0.5, its the same as dividing by two.

The new points are

H(1 , 0.5)

F(3 , 2,5)

G(5 , 0.5)

Solve the inequality and express your answer in interval notation.
x^2- 8x+3<0

Answers

Solution:

A. [tex](-4-\sqrt{13},-4+\sqrt{13})[/tex]

Hope this helps!

PLEASE HELP ME!!!! What system of equations is shown on the graph below?
A. x-2y=-4 and 2x+y=4
B. x-2y=4 and 2x+y=-4
C. x-2y=-2 and 2x+y=-4
D. x-2y=2 and 2x+y=4​

Answers

B

Straight line= y=mx+c

Orange line
c=-4
m= 4/-2 =-2

y=-2x-4

Rearranged: 2x+y=-4


Blue line
c=-2
m= 2/4 =1/2

y=1/2x-2

Multiply by 2 to get rid of fraction
-2(y=1/2x-2)
= -2y=-x+4

Rearranged:

x-2y=4

one side of an isosceles triangle is three times as long as another side of the triangle. If the perimeter of the triangle is 140, then what is the length of the base of the triangle please answer quick

Answers

Answer:

20

Step-by-step explanation:

If length of the base is x, then the other sides are 3x

so x + 3x + 3x = 140

7x = 140

x = 140/7 = 20

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