Which trinomials are perfect square trinomials? Select each correct answer.
A) m^2+10m+100
B) m^2+10m+25
C) m^2+24m+144
D) m^2+36m+60

Answers

Answer 1

a perfect square trinomial can be factored into the form
[tex](a+b)^2[/tex]
the expansion is
[tex]a^2+2ab+b^2[/tex]
so if we say that a=m then
[tex](m+b)^2=m^2+2mb+b^2[/tex]
basically, if you take the coefient (number part) of the 2mb term and divide it by 2 and square it, you should get the last term

(coefient is the number part, like in 4m, 4 is the coefient)

A.
[tex]m^2+10m+100[/tex]
10m is the 2mb term
10 is the coefient, 10/2=5, 5^2=25, 25≠100, so not a perfect square trinomial

B.
[tex]m^2+10m+25[/tex]
as from before, 10 is coefient, 10/2=5, 5^2=25, 25=25, yep, this is perfect square trinomial

C.
[tex]m^2+24m+144[/tex]
24m is the 2mb term, 24 is coefient, 24/2=12, 12^2=144, 144=144, yep this is a perfect square trinomail

D.
[tex]m^2+36m+60[/tex]
36m is the 2mb term, 36 is the coefient, 36/2=18, 18^2=324, 324≠60, so not a perfect square trinomial

answers are B and C

Related Questions

What is the height of the 8 stacks

Answers

Okay so to find volume of an object, it's "length×height×width/breadth".

Volume= length×height×width

V = l × h × w

In this case, you're sort of going backwards, trying to find the height.

So input the info you have:

10 (2)/(3) = 1 (1)/(3) × 4 × height

Multiply...

10 (2)/(3) = 5 (1)/(3) × h

Move them by using the simple algebra rules

10 (2)/(3) ÷ 5 (1)/(3) = h

2 cubic feet = height

What is the first quartile of the data displayed in this box-and-whisker plot?

143.0

113.0

99.5

43.5

Answers

The first quartile is:
C. 99.5

Good Luck
Hope This Helps!

Answer:

The answer is 99.5 for future people!

Step-by-step explanation:

Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveled on each gallon of gas?

Answers

Answer:

[tex]y=28.5x[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem

Let

x------> the number of gallons

y------> the number of miles

the relationship between the number of miles and the gallons of gas represent a linear direct variation

The constant of proportionality k is equal to the slope m

[tex]m=\frac{465.3}{16.5}= 28.2\frac{miles}{gallon}[/tex]

therefore

the equation of the linear equation

[tex]y=28.5x[/tex]

what is the value of x?

X=?

Answers

the answer of x is 54

amanda arranged 5 baskets of flowers. she finished at 4:10pm it took her 20 mins to arrange each basket of flowers. at what time did amanda begin

Answers

You will need to figure out the total amount of time she spent arranging baskets (20 mins x 5 baskets = 100 mins). You will then subtract this period of time from the beginning time. So we will go back 1 hour and 40 minutes from 4:10 p.m. This would put you starting the arrangements at 2:30 p.m. Go back to 3:10 pm for the hour and 40 minutes before that is 2:30 pm.

How do you solve number 3?

Answers

if you write that as an equation it would be 4x + 4 = 3
Then you subtract 4 from both sides making it
4x=-1
now you wnat to get x by itself to get the final answer so you divide both sides by 4 making the answer:
x= -1/4

If 3p+4q=8 and 4p+3q=13, what is q equal to?

Answers

q=-1 :)
just solve for one variable of your choice in either function, in this case p then plug it into the other function to start solving for q.

In what quadrant on the coordinate plane is the point (5,-2) located?

Answers

Quadrant 4.
Cause Quadrant 4 Is a mixture of negative and positive numbers and since x = 5 is positive you would look for the 5 and go down -2 which would be in quadrant 4.

PLEASE HELP ME!!! Can anyone tell me an easy, step by step way to figure out if a trinomial is a perfect square or not? I have a test tomorrow. Do it like step 1, step 2, ect.

Answers

1. the first term is a positive perfect square
2. the last term is positive perfect square
3. the middle product is twice the product of the square root of the first term and the square root of the third term

Perfect square Trinomial factoring formula are:
a to the second power +2ab=

Suppose that the cost of drilling x feet for an oil well is C=f(x) dollars. a) What are the units of f'(x)? b) In practical terms, what does f'(x) mean in this case? c) What can you say about the sign of f'(x)? d)Estimate the cost of drilling an additional foot, starting at a depth of 300 ft, given that f'(300)=1000.

Answers

A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet.
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down.
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive.

The solution according to the given question is provided below in the explanation segment.

According to the question,

The cost of drilling x feet is:

[tex]c(x) = f(x) \ dollars[/tex]

(a) [tex]f'(x) = \frac{df(x)}{dx} \ \frac{dollars}{feet}[/tex]

(b) Throughout the practical terms,

[tex]f'(x)[/tex] represents how many dollars its going to cost one feet.

(c) [tex]f'(x)[/tex] is positive,

The cost of drilling increases as "x" feet increases.

(d) The cost of drilling an additional foot at 300 feet will be [tex]f'(x) \Delta \ x[/tex]

here,

[tex]\Delta x =0[/tex][tex]f'(300) =1000[/tex]

then,

= [tex]1000\times 1[/tex]

= [tex]1000 \ dollars[/tex]

If you want drill 1 more feet at 300 feet, its going to cost 100 dollars in one.

Thus the above answer is correct.

Learn more:

https://brainly.com/question/19755846

What is the value of 2+3n n=1/2

Answers

3x(1/2)=1.5
1.5+2=3.5

First you multiply 3 by 0.5, equaling 1.5. Then you ad 2 and 1.5 to get 3.5. Hope this helps you! :)

plz mark branliest.

What do absolute values and temperatures on the Kelvin scale have in common?

I dont know why math incudes science

Answers

Absolute zero is the lowest possible temperature where nothing could be colder and no heat energy remains in a substance.By international agreement, absolute zero is defined as precisely; 0 K on the Kelvin scale, which is a thermodynamic (absolute) temperature scale; and –273.15 degrees Celsius on the Celsius scale.

Final answer:

Absolute values in mathematics and Kelvin temperatures both provide 'absolute' measurements, with absolute value indicating distance from zero and the Kelvin scale starting at absolute zero, the theoretical absence of kinetic energy.

Explanation:

Both absolute values in mathematics and temperatures on the Kelvin scale represent 'absolute' measurements in their respective fields. In mathematics, the absolute value indicates the distance of a number from zero on the number line, irrespective of direction. Similarly, the Kelvin scale is used in physics and deals with the absolute temperature, where 0 K (absolute zero) represents a theoretical state where particles possess minimal vibrational motion, implying no kinetic energy.

The Kelvin scale is important in scientific work because it starts at this absolute zero point. Therefore, it allows for the measurement of true thermal energy. The Kelvin scale is similar to the Celsius scale in that the size of its degree is the same, but the Kelvin scale does not start at the freezing point of water. Instead, it starts at absolute zero, making it a true absolute scale that measures the fundamental property of temperature.

Find the vertex of this parabola. y=-2x+4x+12

Answers

Answer:

(1,14)

Step-by-step explanation:

Answer:

Vertex of the parabola is ( 1 , 14 ).

Step-by-step explanation:

Given Equation of parabola is [tex]y=-2^2+4x+12[/tex]

We have to find the vertex of the parabola.

We first convert the given equation of parabola in standard equation of parabola using completing the square method.

Standard equation of parabola,

[tex](x-h)^2=4a(y-k)[/tex]

here, ( h , k ) is coordinates of the vertex of the parabola.

consider,

y = -2x² + 4x + 12

y = -2( x² - 2x - 6 )

y = -2 ( x² - 2x + 1² - 1² - 6 )

y = -2 ( x -1 )² - 7 × ( -2 )

y - 14 = -2 ( x - 1 )²

[tex](x-1)^2=\frac{1}{2}(y-14)[/tex]

By comparing,

vertex = ( 1 , 14 )

Therefore, Vertex of the parabola is ( 1 , 14 ).

The math test scores of Mrs. Hunter's class are shown below. 48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100 What is the range of the scores?

Answers

48-100 so yea that basically it

Range is the difference between the highest and lowest numbers given.

Highest= 100
Lowest= 48

Difference= 100 - 48= 52

ANSWER: The range is 52.

Hope this helps! :)

John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours. Explain each step in solving this equation. (10 points)

Answers

We have to find how much time will be consumed if both John and Matt fill the pool together and show the steps to reach at the answer.

Solution:

John fill the pool in 5 hours. This means in 1 hour John fills [tex] \frac{1}{5} [/tex] part of the pool. Matt fills the pool in 10 hours. This means in 1 hour Matt fill [tex] \frac{1}{10} [/tex] part of the pool.

If they both work together:
Portion of the pool filled in 1 hour = [tex] \frac{1}{5}+ \frac{1}{10}= \frac{3}{10} [/tex]

Next we can use proportion to solve this problem.

3/10 portion of the pool is filled in 1 hour.

3/10 of the pool is filled in time ⇒ 1 hour
Multiplying both sides by 10/3 we get

3/10 x 10/3 of the pool in time = 1 x 10/3

1 pool is filled in time = 10/3 hours

This means, if both John and Matt fill the pool together they will take 10/3 hours which is 3 hours and 20 minutes to fill the pool.

A shortcut to solve such questions is:

Time taken to fill the pool = (Product of individual times)/(Sum of individual times)

Time taken to fill the pool = [tex] \frac{5(10)}{5+10}= \frac{50}{15}= \frac{10}{3} [/tex]

This results in the same answer as we achieved above.

What is the wavelength for radio waves with frequency 3 × 109?

Answers

well if that is multiplying 3x109=327

Answer:

1 x 10^-1m or A on edge

Step-by-step explanation:

just took the test

If the m<7 = 115 degrees, find the measure of <2

Answers

Answer:

The measure of [tex]\angle 2[/tex] is 115°.

Step-by-step explanation:

Now, assuming those angles are supplementary, then

[tex]m\angle 7+ m \angle 2=180\°[/tex]

Beacuse, sumplementary angles sum 180\°, due to their position on a straight angle.

We know by given that [tex]m \angle 7 =115\°[/tex], replacing this value, we have

[tex]115\°+ m\angle 2= 180\°\\m \angle 2=180\° - 115\°\\m \angle 2= 65\°[/tex]

Therefore, the measure of [tex]\angle 2[/tex] is 115°.

The measure of m<7 is equal to the measure of m<2 by alternate exterior angle. The measure of <2 is 115 degrees.

What are the angles formed by the transverse line cut by the transversal?

Angles formed by the transverse line cut by the transversal-

Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse. Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.

Given information-

Two parallel lines are shown in the given image (attached below).

Here the measure of angle of 7 is 115 degrees.

The angle 5 is the supplementary angle of the angle 7. Thus,

[tex]\angle 5+\angle 7 =180\\\angle 5+115=180\\\angle 5=180-115\\\angle 5=65[/tex]

Thus the measure of angle 5 is 65 degrees.

Now again the angle 5 is the supplementary angle of the angle 3. Thus,

[tex]\angle 3+\angle 5 =180\\\angle 3+65=180\\\angle 3=180-65\\\angle 3=115[/tex]

Thus the measure of angle 3 is 115 degrees.

The angle 3 and the angle 2 cuts by the same line at the opposite side. Thus, angle 3 is equal to the angle 2.

Hence. the measure of angle 2 is 115 degrees.

Learn more about the angles formed by the transverse line cut by transversal here;

https://brainly.com/question/13207832

True or False. The Electromagnetic Spectrum can be described in terms of wave energy, frequency, and wavelength.

Question 3 options:

True because energy, frequency, and wavelength are all properties of sound, and sound is an electromagnetic wave.

False because the electromagnetic spectrum is about radiation, not waves.

True because the electromagnetic spectrum is ordered based on wave energy, which is described on a wave as wavelength and frequency.

False because energy, wavelength, and frequency are only characteristics of mechanical waves.

Answers

True, because energy, frequency, and wavelength are all properties of sound, and sound is an electromagnetic wave. The electromagnetic spectrum encompasses a continuous range of frequencies or wavelengths of electromagnetic radiation, ranging from long wavelength, low energy radio waves to short wavelength, high frequency, high energy gamma rays.

Organize the following expressions from greatest to least by number of terms:
I. x + 2xyz
II. 3x + y + z
III. 2x2y + x2 − 3x + 4
IV. 9x2yz

Answers

the order is III, II, I, IV

Answer:

[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]

Step-by-step explanation:

We are given expressions in the question.

Term in an expression:

Each expression constitute terms.A term can be a number, a variable, or a constant multiplied by a variable or variables.Each term in an algebraic expression is separated by a + sign or - sign.

We need to find the number of terms in each expression:

[tex]x + 2xyz\\\text{Number of terms}= 2[/tex]

[tex] 3x + y + z\\\text{Number of terms}= 3[/tex]

[tex]2x^2y + x^2 - 3x + 4\\\text{Number of terms} = 4[/tex]

[tex]9x^2yz\\\text{Number of terms} = 1[/tex]

Arranged from greatest to least by number of terms:

[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]

Would you just subtract the numerators like normal? Like 7-5 the answer would be 2/9

Answers

Yes, but only if the denominator is the same.

Hope this helps!

what is the simplified form of the following expression 6xyz/2xz

Answers

Simplify the following:
(6 x y z x z)/2

6/2 = (2×3)/2 = 3:
3 x y z x z

3 x y z x z = 3 x^2 y z^2:
Answer: 3 x^2 y z^2

Julie uses crystals to make a bracelet. The lengths are; 1/2 , 5/8 , 3/4 , 1/2, 3/8, 1/2, 3/4, 3/8, 5/8, 1/2, 3/8, 5/8, 3/4.

6.What is the combined length of the 1/2-in. crystals? ________

7.What is the combined length of the 5/8-in.crystals? ________

8.What is the total length of all the crystals in the bracelet?________

What is the average length of each crystal in the bracelet?________

Please explain as much as possible. I have a quiz tomorrow and I need to pass it.

Answers

6.
There are 4 half inch crystals. So the combined length would be 2 inches.
1/2 +1/2+1/2+1/2 = (since the bottoms are the same just add the tops) 4/2.
4/2 = 2.

7.
There are 3 5/8 inch crystals. So the combined length would be 15/8 (or 1.875 or 1+7/8)
Same here, 5/8 +5/8 + 5/8 = 15/8.

8.
The length of all the crystals together would be 29/4 (or 7.25 or 7+1/4)
Here, just find a common denominator. In this case it would be four. Then, just multiply or divide the top number by whatever you did to the bottom one.

9.
The average length is: 29/52 (or 0.557)
Divide 29/52 by 13. (to find an average, add all the number and divide it by the amount of number you added.

Find the product of (x + 7)2.

x2 − 14x + 49
x2 + 14x + 49
x2 − 49
x2 + 49

Answers

(x+7)^2=x^2+2*7x+7^2=x^2+14x+49

(a+b)^2=a^2+2ab+b^2

x2+14x+49 Answer B is the correct answer

write an inequality for

A maximum ceiling height of 8 feet was required in the new buildings

Answers

h is less than or equal to 8
h ≤ 8

The inequality for a maximum ceiling height of 8 feet in new buildings is expressed as h <= 8, where h is the height in feet.

To represent the maximum ceiling height of 8 feet as an inequality, we use the following expression: h <= 8, where h represents the height of a building's ceiling in feet. This inequality states that the ceiling height must be less than or equal to 8 feet to comply with the regulations for new buildings.

A rectangular prism measuring 10m and 7m along the base and 12m tall

Answers

Assuming you are asking for the volume by your given data points, if so, the volume of the rectangular prism is 840m^3.

A rectangular prism measuring 10m and 7m along the base and 12m tall.

The volume of the rectangular prism is 840 cubic meters.

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

A rectangular prism measuring 10m and 7m along the base and 12m tall.

a = 10

b = 7

c = 12

The volume of the rectangular prism

= 10 x 7 x 12

= 840

Learn more about the volume of a right rectangular prism here:

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#SPJ2

What is 90,175,087,309 in expanded form

Answers

Word form:
ninety billion, one hundred seventy-five million, eighty-seven thousand, three hundred nine

Number form: view attachment

How far did Clara walk after getting off the bus? 2 1/2 miles, 1/4 miles, and 1 3/4 miles

Answers

More information must be added in order to do this problem, is there a table or graph? Wish I could help!

A freight train is half a mile long. it travels at a speed of 60 mph. it comes to a tunnel that is 1 mile long. how long will it take the train to pass completely through

Answers

It would take the train 1 minute to pass through the tunnel.

1 ÷ 60 = 1/60 mph
1/60 mph also equals 1 min, since there are 60 min in an hour

Hope this helps!

UESTION 6

A researcher randomly surveyed seniors at a high school and asked how many books they read in the past year. The table shows the results.
Missing Metadata
Which statement is true?

Answers

Statement 1 is true: the majority of seniors read between 0 and 5 books. Statement 2 is false: the average number of books read is around 6-7, not between 10 and 11. Statement 3 is true: more seniors read 11-15 books than 16-20 books.

To determine which statement is true, let's first analyze the data provided in the table. Since the table isn't available, I'll make some assumptions to guide us through the explanation. Let's say the table looks like this:

Number of Books Read Number of Seniors

0-5 20

6-10 15

11-15 10

16-20 5

Now, we'll examine each statement to see if it aligns with the data:

"The majority of seniors read between 0 and 5 books in the past year."

This statement is true if the number of seniors who read 0-5 books is greater than the total number of seniors who read in other ranges. In this case, 20 seniors read 0-5 books, which is the highest count among all ranges. So, this statement is true.

"The average number of books read by seniors is between 10 and 11."

To find the average, we multiply the midpoint of each range by the number of seniors in that range, sum them up, and then divide by the total number of seniors. Doing the calculation, the average comes out to around 6-7 books, not 10-11. So, this statement is false.

"More seniors read 11-15 books than 16-20 books."

To verify this, we check the counts for each range. If the count for 11-15 books is greater than the count for 16-20 books, the statement is true. In this case, if 10 seniors read 11-15 books and 5 seniors read 16-20 books, the statement is true.

Based on this analysis, statements 1 and 3 are true, while statement 2 is false.

complete question=

Which statement is true regarding the survey conducted by a researcher who randomly surveyed seniors at a high school and asked about the number of books they read in the past year, as depicted in the provided table?

At a healthy foods store in Belleville, organic sugar used to retail for $4 per pound. The price was recently increased to $5 per pound. What is the percent of increase in the price of this item?

Answers

Final answer:

The price of organic sugar at the Belleville store increased from $4 to $5 per pound, which is a 25% increase in price.

Explanation:

The percent of increase in the price of organic sugar from $4 to $5 per pound can be calculated through a few steps. To determine the percentage increase, you subtract the old value from the new value, then divide the result by the old value. Finally, you multiply by 100 to convert it into a percentage.

Here is the step-by-step calculation:

Determine the increase in price: $5 - $4 = $1.

Divide the increase by the original price: $1 ÷ $4 = 0.25.

Multiply by 100 to get the percentage: 0.25 × 100 = 25%.

Therefore, the price of organic sugar increased by 25%.

Final answer:

The price of organic sugar at a healthy foods store in Belleville was recently increased from $4 per pound to $5 per pound. The percent of increase in the price of this item is 25%.

Explanation:

To find the percent of increase in the price of the organic sugar, we can use the formula:

Percent increase = ((new price - old price) / old price) * 100

First, let's calculate the percent increase:

Percent increase = (($5 - $4) / $4) * 100 = (1 / 4) * 100 = 25%

Therefore, the percent of increase in the price of organic sugar is 25%.

Other Questions

Which trinomials are perfect square trinomials? Select each correct answer. A) m^2+10m+100 B) m^2+10m+25 C) m^2+24m+144 D) m^2+36m+60

Answers

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Which trinomials are perfect square trinomials? Select each correct answer.
A) m^2+10m+100
B) m^2+10m+25
C) m^2+24m+144
D) m^2+36m+60