Which expressions represent a perfect square monomial and its square root? Check all that apply.
121: 11
4x2, 2x
9x2 – 1; 3x - 1
25x, 5x
49x4; 7,22

Answers

Answer 1

Answer: A,B,E

Step-by-step explanation:

Answer 2

Answer:

Option 1,2 and 5 represent a perfect square monomial and its square root.

Step-by-step explanation:

To find : Which expressions represent a perfect square monomial and its square root? Check all that apply.

Solution :

1) 121, 11

As [tex](11)^2=121[/tex]

This expression represents a perfect square monomial and it’s square root.

2) [tex]4x^2,2x[/tex]

As [tex](2x)^2=4x^2[/tex]

This expression represents a perfect square monomial and it’s square root.

3) [tex]9x^2-1,3x-1[/tex]

As [tex](3x-1)^2=9x^2+1-6x[/tex]

This expression does not represents a perfect square monomial and it’s square root.

4) [tex]25x,5x[/tex]

As [tex](5x)^2=25x^2[/tex]

This expression does not represents a perfect square monomial and it’s square root.

5) [tex]49x^4,7x^2[/tex]

As [tex](7x^2)^2=49x^4[/tex]

This expression represents a perfect square monomial and it’s square root.

Therefore, Option 1,2 and 5 represent a perfect square monomial and its square root.


Related Questions

During a drought the water level of a lake changes -3 1/5 feet per day. Write and solve an equation to find how long it takes for the water level to change -16 feet

Answers

-3.2x=-16. X would equal 5. So it would take 5 days for the water level to change to -16 feet.

Answer:

-3.2x=-16

Step-by-step explanation:

Hi i just need help on this quick question, ty :)

A deck is being built around a rectangular swimming pool. The swimming pool is 35 ft x 20 ft and the deck has a uniform width of 7 ft. What is the area of the deck only?

A. 700 ft^2
B. 877 ft^2
C. 966 ft^2
D. 1134 ft^2

Answers

Answer: C. 966

Step-by-step explanation: First find the ft. of the entire area, the deck, and pool. Then get the area of the pool

Entire area: (35+7+7) * (20+7+7)= 1666

Pool: 35*20=700

Then subtract the ft. of the entire area by the pool

1666-700= 966

What is a whole number

Answers

Answer:

Whole numbers are positive numbers (this includes 0) that do not have decimals or fractions to them.

Example:

1, 2, 3, 4, 5,etc are all whole numbers, because they are positive and do not have decimals or fractions

1.25 would not be a whole number, because although it is positive, it has a decimal.

Nine increased by the product of a number and 8 is greater than -24

Answers

Answer:

x>-33/8

Step-by-step explanation:

9+8x>-24

1) Subtract 9 from both sides:

8x>-33

2) Divide both sides by 8:

x>-33/8

Final answer:

The algebraic representation of the problem is 9 + 8x > -24. After isolating 'x', the solution to the inequality is x > -4.125, which means any number greater than -4.125 satisfies the equation.

Explanation:

The problem presented is a linear inequality, a topic of mathematics. The sentence 'Nine increased by the product of a number and 8 is greater than -24' can be represented algebraically as 9+8x > -24, where 'x' is the number in question.

To solve it, as we aim to find the value for 'x', you first isolate 'x' on one side of the inequality. Start by subtracting 9 from both sides to get 8x > -24 - 9, which results in 8x > -33. Then, you divide both sides by 8 to solve for 'x'. As a result, x > -33/8, or x > -4.125.

This means that any number greater than -4.125 will satisfy the equation 'Nine increased by the product of a number and 8 is greater than -24'. So, the solution to this inequality is x > -4.125.

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it takes 4/5 of an hour to paint 2/5 of a room, how long does it take to paint one room?

Answers

Answer:

120 mins

or

2hrs

Step-by-step explanation:60 min=1 hr

60 min/5=12 min

12(4)=48 min

24 min=1/5 of room

24(5)=120 min

120 min=2 hrs

It would take 2 hours to paint one room.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time taken to paint 2/5 of the room = 4/5 hour

To find the time taken to paint one room,

Use ratio property,

2/5 room takes = 4/5 hour

1 room takes = 4/5 x 5/2 hours

                      = 4 / 2 hours

                      = 2 hours.

The one room takes 2 hours to paint.

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Help! I need help with this math problem. Only need to to D! (Will mark brainliest if you do all of them, though. :])

Answers

Answer:

Answer to D: 3/5

Step-by-step explanation:

There are 5 songs.

And 3 of them have the word "Mama" in the title.

Make 5 the total amount of songs and 3 songs are how many times the word "Mama" appears once in each song.

A human heart beats approximately 60 times per minute. If a man lives to the age of 90, how many times will his heart in his lifetime.

Answers

Answer:

90 Years = 47,304,000 Minutes = 47304000 Minutes.

Step-by-step explanation:

90 POINTS Determine the measures of L and M.

Answers

Hey!

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

To Solve We Need:

By looking at the picture we can see that the measure of N is 48 degrees.

A triangle needs a total of 180 degrees to be a complete triangle.

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

Solution:

180 - 48 = 132 degrees

132 / 2 = 66 degrees

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

Answer:

L and M measure 66 degrees!

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

Hope This Helped! Good Luck!

Answer:

La and M 66 degrees !

Step-by-step explanation:

A bacterium cell splits into 2 cells every hour. Write and evaluate an exponential expression to find how many cells there will be in 6 hours. Then use your answer to help you find the number of hours it will take for there to be 1,024 cells.​

Answers

Answer:

2^x

64 bacterium

10 hours

Step-by-step explanation:

doubles every hour

if x = hours

2^x

2^x --> 2⁶ = 64

2^x = 1024

1024 = 2^10 ---> x=10

Hannah and Francine have $120.hannah and Peter have $230.Peter has 6 times as much money as Francine.How much money does Hannah have?

Answers

Answer:

$98

Step-by-step explanation:

x+6(120-x)=230

x+720-6x=230

-5x=-490

x-98

x represented how much money Hannah had.

3.7 ft
7.2 ft
8.1 ft
what is the answer?

Answers

Answer:

if this question was a volume question, then the answer would be 215.784ft^3

why: length times width times height

if this is not what you needed ignore it. I am basing this off of the given number.s

Step-by-step explanation:

585,156.22 nearest thousand

Answers

It would be 585 because

The height of a triangle is twice it's base. If the area of the triangle is 40 cm squared, what is the measure of it's height

Answers

A = bh/2
40 = x(2x)/2
80 = 2x²
40 = x²
x = sqrt40
x = +/- 2sqrt10
Measurement cannot be negative therefore x = 2sqrt10
Height = 2x = 2(2sqrt10) = 4sqrt10
The height of the triangle is 4sqrt10 cm or approximately 12.65cm.

4x + 6 over 2 equals 3x - 15 over 3​

Answers

Answer:

x = -8

Step-by-step explanation:

[tex]\dfrac{4x+6}{2}=\dfrac{3x-15}{3}\qquad\text{cross multiply}\\\\3(4x+6)=2(3x-15)\qquad\text{use the distributive property}\\\\(3)(4x)+(3)(6)=(2)(3x)+(2)(-15)\\\\12x+18=6x-30\qquad\text{subtract 18 from both isdes}\\\\12x=6x-48\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\6x=-48\qquad\text{divide both sides by 6}\\\\x=-8[/tex]

x=-8

Given equation is (4x+6)/2=(3x-15)/3, we need to find x

What is cross multiplication method?

Multiply the numerator of one fraction to the denominator of other and denominator of the first term to the numerator of another term is called Cross Multiplication Method.

Given, (4x+6)/2=(3x-15)/3

Apply cross multiplication method

3(4x+6)=2(3x-15)

12x+18=6x-30

12x-6x=-30-18

6x=-48

Divide both sides by 6

x=-8

Therefore value of x in  (4x+6)/2=(3x-15)/3 is '-8'.

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What is the slope of the line represented by the equation y = –y equals negative StartFraction one-half EndFraction x plus StartFraction one-fourth EndFraction.x + StartFraction one-fourth EndFraction.?

Answers

Answer:

Slope:

[tex]m = -\displaystyle\frac{1}{2}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]y = -\displaystyle\frac{1}{2}x + \displaystyle\frac{1}{4}[/tex]

Comparing this equation to the slope-intercept form:

[tex]y = mx + c[/tex]

where m is the slope of line and c is the y-intercept that is the value of y when x is zero.

on comparing, we get:

[tex]m = -\displaystyle\frac{1}{2}\\c = \displaystyle\frac{1}{4}[/tex]

The slope of the given line is

[tex]m = -\displaystyle\frac{1}{2}[/tex]

The slope of the given line is -1/2

How to find the slope of an equation

The standard equation of a line is expressed as y = mx +b

where

m is the slope

b is the y-intercept

Given the equation y = -1/2x + 1/4

Compare the equations

mx = -1/2 x

m = -1/2

Hence the slope of the given line is -1/2

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What is 1,000,000 written as a power of ten?
10–6
10–7
107
106

Answers

Answer:

10^6 aka D

Step-by-step explanation:

We know this because we start off with 1. we take the decimal and swipe it 6 places to the right filling the gaps with zero. As shown in the problem itself.

Answer:

10^6

Step-by-step explanation:

10^6 is 10 × 10 × 10 × 10 × 10 × 10, and that is 1,000,000.

What is the volume of this rectangular prism?

Answers

Answer:

The answer is B. 54 cm

Step-by-step explanation:

When you find the volume of a rectangle you have to multiply the length, width, and height. The length is 9, width 3, and height 2. When you multiply them together you'll get 54

54.... because 9 times 3 is 27 and 27 times 2 is 54 hope this helps have a good day

Unit 4 HomeWUIR
The following table shows the times for
athletes running a 100-meter race.
100-Meter Race
Time
Runner
(seconds)
Mary
0.34
Rhea
0.394
Lindsay
0.402
Mei
0.334
Brooke
0.35
If the first three places receive ribbons, which
runners received ribbons for the race?
1st Place Ribbon:
2nd Place Ribbon:
3rd Place Ribbon:

Answers

Answer:

1st Place:  Mei

2nd Place:  Mary

3rd Place:  Brooke

Colby must spend less than 275 minutes playing video games in one day. He plays different games for 25 minutes each, and Colby has already played 100 minutes today.

25x + 100 < 275

How many more games can Colby play today?
A.
x < 100
B.
x < 25
C.
x < 175
D.
x < 7

Answers

Answer:

A

Step-by-step explanation:

Answer: D. X<7

Step-by-step explanation:

In the given inequality, x represents the number of games Colby can finish. Use opposite operations to isolate x.

Therefore, the solution set for how many more games Colby can finish this week is x < 7.

Evaluate A 2-B 2 for A = 4 and B = -5.

Answers

Answer:

- 9

Step-by-step explanation:

Given

A² - B² ← substitute A = 4 and B = - 5 into the expression

= 4² - (- 5)²

= 16 - 25

= - 9

4. Mimi has 15 cousins. All but 3 of her cousins live in Texas what percent of her cousins live in Texas?
Write a proportion and solve Show your work
It’s Not sure on the right answer

Answers

Answer:

20%

Step-by-step explanation:

15= 100%

3/15 = 1/5

100% divided by 5 is 20%

proportion: 1/5

Mimi has 15 cousins, and after subtracting the 3 who do not live in Texas, 12 of her cousins live there. By setting up a proportion, we calculate that 80% of Mimi's cousins live in Texas.

Mimi has 15 cousins, and all but 3 live in Texas. To find the percentage of her cousins that live in Texas, we first need to calculate the number of cousins who live in Texas. We do this by subtracting the 3 that do not live in Texas from the total number of cousins, which is 15.

Number of cousins living in Texas = Total cousins - Cousins not living in Texas
Number of cousins living in Texas = 15 - 3 = 12

Next, we set up a proportion to find the percentage. The proportion is based on the number of cousins in Texas over the total number of cousins:

Proportion = (Number of cousins in Texas / Total number of cousins) ×100%
Percentage = (12 / 15)× 100%
Percentage = 0.80 × 100%
Percentage = 80%

Therefore, 80% of Mimi's cousins live in Texas.

a printer that sells for $190 is on sale for 20% off what is the sale price of the printer to work please​

Answers

Hey!

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

Solution:

20% = 0.2 (percentage as decimal)

190 x 0.2 = 38 (discount)

190 - 38 = 152 (sale price)

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

Answer:

The sale price of the printer is $152.

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

Hope This Helped! Good Luck!

Simplify 6^4 x 6^3 divided by
6^-1

Answers

Answer:

6^6

Step-by-step explanation:

6^4 x 6^3 / 6^-1

exponent rule add exponents 4+3=7 so 6^7

exponent rule subtract exponents 7-(-1) so

Answer= 6^8

Answer:

1644624

At least that's what i got on my calculator

9x + 2y = 30
6x + 4y = 12

Answers

1. Simplifying

9x + 2y = 30

Solving

9x + 2y = 30

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

9x + 2y + -2y = 30 + -2y

Combine like terms: 2y + -2y = 0

9x + 0 = 30 + -2y

9x = 30 + -2y

Divide each side by '9'.

x = 3.333333333 + -0.2222222222y

Simplifying

x = 3.333333333 + -0.2222222222y

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

2. Simplifying

6x + 4y = 12

Solving

6x + 4y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.

6x + 4y + -4y = 12 + -4y

Combine like terms: 4y + -4y = 0

6x + 0 = 12 + -4y

6x = 12 + -4y

Divide each side by '6'.

x = 2 + -0.6666666667y

Simplifying

x = 2 + -0.6666666667y

Answer:

For graphing, your answer is...(4,-3)

Step-by-step explanation:

1.Subtract 9x on both sides...

2y=30-9x

6x+4y=12

2. Divide each term by 2, then simplify...

-Divide... 2y=30-9x by 2.

2y/2=30/2+-9x/2

6x+4y=12

3. Reduce expression by...cancelling your common factors...

Cancel...2 from 2y/2

6x+4y=12

Divide y by 1...

y=30/2+-9x/2

6x+4y=12

4.Simplify each term...

-Divide thirty by two.

y=15+-9x/2

6x+4y=12

-Move your negative in the front of your fraction.

y=15 - 9x/2

6x+4y=12

5.  Subtract 6x from both sides of your equation...

y=15 - 9x/2

4y=12-6x

6. Divide each term by four...divide terms in 4y=12-6x by four...

y=15 - 9x/2

4y/4=12/4+-6x/4

-Reduce expression by cancelling common factors in 4y/4...

Divide y by one...

y=15 - 9x/2

y=12/4+-6x/2

7. Simplify each term...Divide twelve by four...

y=15 - 9x/2

y=3+-6x/4

-Reduce expression by cancelling all common factors...

Your factor is 2 our of -6x...

y=15 - 9x/2

y=3+2(-3x)/4

-Cancel the common factors.. two out of four...

y=15 - 9x/2

y=3+2(-3x)/2(2)

-Cancel common factors again...

y=15 - 9x/2

y=3+-3x/2

8. Move your negative over to the front of your fraction...

y= 15 - 9x/2

y=3 - 3x/2

You get... (4,-3)

I hope this helps you and I also do hope that this is what you are looking for! If not, then my bad! Good luck, mate!

Find the value that makes the ratios equal. 51/18=x/6

Answers

51/18 = x/6
6(51/18) = x
x = 17

Which function has an axis of symmetry of x = −2?

Answers

Answer:

Step-by-step explanation:

f(x) = a(x+2)² +k

Answer:

f(x) = (x + 2)2 − 1

Step-by-step explanation:

HEY LUVS

how do you simplify a algebraic equasion

Answers

remove parentheses by multiplying factors
use exponent rules to remove parentheses in terms with exponents
combine like terms by adding coefficients
combine the constants

Final answer:

To simplify an algebraic equation, combine like terms, reduce fractions, and cancel factors; multiply or divide both sides by the same number if needed, and check your work by substituting values back into the original equation.

Explanation:

Simplifying Algebraic Equations

To simplify an algebraic equation, you need to eliminate terms wherever possible. This process may involve combining like terms, reducing fractions, and canceling out factors. Multiplication or division by the same number on both sides of the equation does not change the equation's equality, so apply these operations carefully to all terms. Often, you'll want to collect constants inside the parentheses to consolidate them into a single value, making the equation simpler. After simplifying, it's important to check your answer to ensure that it is reasonable, which may involve plugging the solution back into the original equation or assessing the steps you've taken to make sure no errors were made.

Let's consider an example:

Simplify the equation by dividing both sides by a common factor, if applicable.

Collect like terms together and simplify further.

Check the simplified equation by substituting numbers to see if both sides remain equal or by ensuring logical algebraic steps were taken.

Remember, solving for an unknown variable requires doing the same operation on both sides of the equation, thereby maintaining balance. Systematic simplification and attentive checking are your keys to mastering algebraic equations.

Ed saved $50 one week. For the next 6 weeks he saved $25 more than he saved the week before. How much did he save in all? One student solved this problem using the expression $50 + 6($25) =$200. What error was made? What is the correct answer?

Answers

Answer:$825. 00

Add $25.+50. For week 1 then add $25.each additional week for 6weeks.

Step-by-step explanation:

if g is the midpoint of FH and FH =6y-2 find y

Answers

Answer:8

Step-by-step explanation: trust me

The relationship between y and x, given that g is the midpoint of FH is y = (1/3)x + (1/3).

If g is the midpoint of FH, it means that FH is divided into two equal segments, FG and GH, such that FG = GH.

Given that FH = 6y - 2, set up an equation to represent this:

FH = FG + GH

Substituting the values we know:

6y - 2 = FG + GH

Since FG = GH then

6y - 2 = x + x

Now, combine like terms:

6y - 2 = 2x

To find the value of y, isolate it on one side of the equation:

6y = 2x + 2

Now, divide both sides by 6 to solve for y:

y = (2x + 2) / 6

y = (2/6)x + (2/6)

y = (1/3)x + (1/3)

So, y is equal to (1/3)x + (1/3).

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A mosquito starts his flight in the air at 10 feet below sea level in a canyon. He then ascends to 18 feet above sea level. What was the change in the height if his flight

Answers

ascended 28 ft!

10 - (-18) = 28

10-(-18)=28 because of the fact that below sea level is negative and above is positive
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