I think of a number.
If I subtract 10 from my number, then square the result,
I get the same answer as
if I square my number, then subtract 10 from the result.
What is my number?
You must show an algebraic method (use letter x in your working).
+
Answer:

Answers

Answer 1

Answer:

x =5.5

Step-by-step explanation:

The directions say to use x for the number.

"take 10 away from"

x - 10

"then square the result"

(x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number"

x^2

"then subtract 10 from the result"

x^2 - 10

SET EQUAL TO EACH OTHER.

(x - 10)^2 = x^2 -10

Multiply on the left side.

x^2-20x+100 =x^2-10

subtract x^2 from both sides.

-20x + 100 = -10

subtract 100.

-20x = -110

divide by -20

x = 11/2 or 5.5

CHECK:

(5.5-10)^2=20.25

5.5^2 - 10=20.25

Answer 2

The number would be equal to x =5.5

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The directions say to use x for the number means x - 10

"then square the result" means (x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number" means x^2

"then subtract 10 from the result" means x^2 - 10

therefore,

(x - 10)^2 = x^2 -10

Now Multiply on the left side.

x^2-20x+100 =x^2-10

Then subtract x^2 from both sides.

-20x + 100 = -10

-20x = -110

x = 11/2 or 5.5

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2


Related Questions

18% of cats who like
Cat food A' also like
Cat food 'B'. If there
are 500 cats who like
Cat food 'A', how many
like Cat food B?
Answer
-
95

28

90

Answers

Answer: 90

Step-by-step explanation:

To easily solve this, just take .18 x 500. We know we can convert a percent to a decimal by moving the decimal point two places to the left. This allows us to multiply .18 x 500 to get a final answer of 90

Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=3

Answers

Answer:

I think the answer is y = 3x - 10

Step-by-step explanation:

Distribute to create an equivalent expression with the
fewest symbols possible.
(7 - 4n) - 6

Answers

Answer:

24n-42

Step-by-step explanation:

by factoring, you take whatever is on the outside and multiply by each of the inside, so.

7x-6=-42

and

-4nx-6= 24n (since we multiply 2 negatives, it becomes positive)

Answer:42-24n

Step-by-step explanation: the other answer switched it around

complete the table below to give the outcomes and the corresponding probabilities

Answers

put a photo or something so we can answer

Solve the equation for the variable x: mx + 5w = 6w

Answers

Answer:

x=w/m

Step-by-step explanation:

x = w/m, this is the answer its really no explanation brainly police dont take this down you can check for yourselves.

Bananas cost $0.50 each, and apples cost $1.00 each.


(a) Elena would like to spend exactly $3.50 on buying fruits. If she buys 1 banana, how
many apples can she buy?


(b) Is it possible for Elena to buy 2 bananas, if she wants to spend exactly $3.50? Why or
why not?

Answers

Answer:

(a) 3 apples (b) no

Step-by-step explanation:

(a) 1 bannana = 0.50

    3 apples = 3.00

    total = 3.50

(b) Not possible because 2 bannanas = 1 dollar 3 bananas = 1.50 then 1.50 + 2.00 apples = 3.50

     

128.15 equals 11 (6.4 + 4.8 + x) pls urgent I'm in big trouble​

Answers

Answer in the picture.

How many liters are there in a tank of volume 7.32m³?​

Answers

Answer: 3 liters in a tank of volume 7.32m^3

Step-by-step explanation:

3.785 to whole number

Answers

Answer: 4

Step-by-step explanation: with rounding the 7 bumps the 3 to a 4

[tex](3x+5)(2x+4)+2x^{2}[/tex]

Answers

Answer:

can you take picture for the question?

geometry due tonight

Answers

Answer:

A: 5 CM

B: 2.5 CM

C: ABC approx. equal to EDC (I'm not 100% sure on this one, but it makes most sense.)

I can't help you with number four, I'm sorry. I hope someone else comes along and helps with that!

Step-by-step explanation:

The symbol being used means "approximate equality" meaning that the two angels are alike. So in A, the two sides on the shapes are both 5 cm. On B, since it is half of that side, it would be half of five, making it 2.5 cm. For C, the middle letter is the one touched second. Therefore when you draw the shape it makes the most sense that it's ABC approx. equal to EDC. Not to mention that ABC and the next angel has to match, so since the C is last, it also matches in that spectrum.

For D, I don't know the terminology, I'm sorry.

What is solving inequalities

Answers

An inequality is a comparison of expressions by either "less than" (<), "less than or equal to" (<=), "greater than" (>), or "greater than or equal to" (>=). Note that Html does not support the standard symbols for "less than or equal to" and "greater than or equal to", so we use <= and >= for these relations.  

Giving right answer branleist

Answers

Answer: y= -3/5x+2.8

Karen jogs at a steady pace up a hill in her neighborhood. She then runs down the hill, and her speed increases. Which graph best describes this
situation?

Answers

Answer:

The last one

Step-by-step explanation:

its literally just up and down

Rewrite the equation so that it does not have fractions

2-3/4x = 5/12

Do not use decimals in your answer.

Answers

Answer:

[tex] \frac{2 - 3}{4x} = \frac{5}{12} \\ 4x(5) = 12(2 - 3) \\ 20x = 24 - 36 \\ 20x = 12[/tex]

hope it helps you<3

HELP! QUICK!

Find the length and width of rectangle CBED, and calculate its area.

Answers

Answer:

170 units

Step-by-step explanation:

60+60+25+25=170

The 60 and 60 can be found by adding the length, 20+35+5.

The 25 and 25 can be found by taking 55+8-(30+8) for the widths.

Answer:

Step-by-step explanation:

Length = DE =OP

OP = 5 + 20 + 35 = 60 ft

Length of the rectangle CBED = 60ft

Width CD = CJ - (DG +GJ)

                = 55 - (8 + 30)

                = 55 - 38

                 = 17 ft

Area of CBED = length * width

                        = 60 * 17

                         = 1020 ft²

Mr. Hawkins bought 2 shirts for $40 each. The store was have a Buy One, Get One 50% Off sale. Mr. Hawkins also had a 10% off coupon to apply to his subtotal. He then paid 6% sales tax on that amount. How much did he spend?

Answers

Answer:

50.4

Step-by-step explanation:

2x40=80

40/2=20

80-20=60

60x10/100=6

60x6/100=3.6

3.6+6=9.6

60-9.6=50.4

A recipe uses 5 cups of milk to make 20 servings. If the same amount of milk is used for each serving, how many servings can be made from three quarts?

Answers

20/5 = 4, so one cup is four servings. And from what I know 3 quarts is four times the amount of cups so your answer would be: 12*4=48

This submarine starts at zero units we want to move our submarine to six units the submarine can only move by adding two floats or 2 inches at a time how many groups of floats or interest we have to add to get to six units

Answers

Answer:

You can use simple math formulas and equations to solve this problem, so instead of going onto brainly for free answers try using your brain for once

oh wait you dont have one

Answer:

If you mean 2 inches per unit then it is 12 floats

Step-by-step explanation:

PLEASE HELP! One year, the population of a city was 109,000. Several years later it was 126,440. Find the percent increase.

Answers

Answer:

16% Increase

Step-by-step explanation:

I don't really know how to explain

Find a polynomial that represents the area of the
square.

Answers

Answer:

16x² + 72x + 81

Step-by-step explanation:

The area of a square is [tex]s^2[/tex], where s = side. In this case, we're given the side length as 4x + 9.

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Therefore, the answer is 16x² + 72x + 81.

Can Someone Help Me With This Please!

Answers

Answer:

x is greater than or equal to 11

Step-by-step explanation:

Don't have explanation!! Extremely sorry!

Inequality Form:x>11
Interval Notation:(11,∞)

Ms. Pierce bought a camera that cost $450. She also had to pay an additional 5% sales tax. How much did Ms. price pay for the camera

Answers

if we add 4%, we now have 104% of
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16w+2 simplified

Factor the expression by the greatest common factor

Answers

Answer:

2(8w + 1)

Step-by-step explanation:

Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.

2 appears on both sides of the plus sign.

2(16w/2 + 2/2)

Hello.

Remember that factoring is the opposite of distributing.

Factoring looks like this:

ab+ac=a(b+c) [tex]\longmapsto[/tex] factor out the greatest common factor

In this case, the Greatest Common Factor is

2

Now, divide both terms of the expression by 2.

2(8w+1)

Is this right? We can easily check by using the Distributive Property and distributing 2. Then, we can compare both expressions and see if we ended up with the original expression.

16w+2

See? We have the original expression.

I hope it helps.

Have an awesome day.

[tex]\boxed{imperturbability}[/tex]

find the area of circle having radius 14cm.

Answers

Answer: 1231.50 cm^2

Step-by-step explanation:

Area of a circle: A=2pir^2

A=2(pi)(14)^2

A=1231.50 cm^2

Can someone answer this for me?

Answers

Answer:

for this you can use online calculator

Step-by-step explanation:

Help, help, help pips!! Thanks!!

Irrelevant answers will be deleted.​

Answers

Answer:

see explanation

Step-by-step explanation:

(3)

the values of q decrease as the values of p increase.

this indicates an inverse relationship between the quantities, that is

q = [tex]\frac{k}{p}[/tex] ← k is the constant of variation

to find k use any ordered pair from the table.

using q = 16 when p = 3 , then

16 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

48 = k

q = [tex]\frac{48}{p}[/tex] ← equation of variation

(4)

the values of q increase as the values of p increase.

this indicates the quantities are in direct variation, that is

q = kp ← k is the constant of variation.

to find k use any ordered pair from the table.

using q = 2 when p = 6 , then

2 = 6k ( divide both sides by 6 )

[tex]\frac{2}{6}[/tex] = k , that is

k = [tex]\frac{1}{3}[/tex]

q = [tex]\frac{1}{3}[/tex] p ← equation of variation

A scientist observes that an initial population of 750 endangered turtles triples each year.




If p represents the population of turtles, write an equation for p in terms of y, the number years since the scientist began observing

Answers

Answer:

3p+750=y

Step-by-step explanation:

please solve: -15=x-16

Answers

Answer:

-15=x-16

x-16= -15

x= -15+16

x=1

Using the following figure, determine the measure of.

Answers

Answer:

x=36

Step-by-step explanation:

Assuming both shapes are the same, we know the entire angle is 108. Basically we just divide 108 with 3 and you have your answer (36).

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