Use the Perfect Square Trinomial and provide the first step to calculating 382 without a calculator.
(40 − 2)2
(40 + 2)2
(29 − 9)2
(29 + 9)2

Answers

Answer 1

Answer:

[tex](40-2)^2[/tex]

Step-by-step explanation:

Given: [tex](38)^2[/tex]

To find: the correct option

Solution:

A binomial polynomial is a polynomial consisting of two terms.

A trinomial polynomial is a polynomial consisting of three terms.

On multiplying a binomial [tex](x-y)[/tex] to itself, a perfect square trinomial [tex](x-y)^2[/tex] is obtained.

Here, [tex]38=40-2[/tex]

So, [tex](38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2[/tex]

Here, [tex](40-2)[/tex] is a binomial and it is multiplied to [tex](40-2)[/tex] to get a perfect square trinomial [tex](40-2)^2[/tex]

Answer 2

Answer:

(40 − 2)^2

Step-by-step explanation:

(First just do simple math to narrow down your choices)

A: (40 − 2)^2

40 - 2 = 38

B: (40 + 2)^2

40 + 2 = 42

C: (29 − 9)^2

29 - 9 = 20

D: (29 + 9)^2

29 + 9 = 38

(Now you just have A and D)

A: (40 − 2)^2

D: (29 + 9)^2

(Determine which properly expresses a Perfect Square Trinomial)

A: (40 − 2)^2

I just took the test.


Related Questions

Which of the following is a rational number?

Answers

A rational number is a number that can be written as a fraction.

The square root of 34 is equal to ~5.83. This number cannot be written as a fraction.

Pi is not a rational number. Its digits stretch into infinity and it does not have any factors.

The square root of 64 is a rational number. The square root of 64 is 8, which can be written as a fraction, as well as being an integer.

The square root of 102 is equal to ~10.1. This is not a rational number and cannot be written as a fraction.

Therefore, the square root of 64 (Or 8) is a rational number.

Hope this helps! :)

If the expression f^2+g^4-2f+1 is rewritten in the form a^2+(g^2)^2, what must be the value of a?

Answers

Answer: √(f^2 - 2f + 1) = a

Step-by-step explanation:

We have that:

f^2+g^4-2f+1 =  a^2+(g^2)^2

And we want to find the value of a, so we should isolate it.

f^2 + g^4  - 2f + 1 = a^2 + g^(2*2) = a^2 + g^4

where i used that (x^y)^z = x^(y*z)

We can remove the term g^4 in both sides of the equation and get:

f^2 - 2f + 1 = a^2

now we can apply the square rooth to both sides and get

√(f^2 - 2f + 1) = a

So we just found the value of a.

find the slop of the lines containing the following points​

Answers

Answer:

7/2

Step-by-step explanation:

The slope of the line is given by

m = (y2-y1)/(x2-x1)

    = (12-5)/(3-1)

    = 7/2

What is the value of (3-54(2)- 16:22
O _40
-16
o 24
56

Answers

So the right answer is 24.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

24

Step-by-step explanation:

Solve according to PEMDAS. Perform the operation inside the parentheses first, then evaluate exponents, multiply, divide, add and subtract.

(3-5)^4(2)-16/2

First, perform the operation inside the parentheses. Subtract 5 from 3.

(-2)^4 (2) -16/2

Next, evaluate the exponent. -2^4 is the same as multiplying -2, 4 times.

-2*-2*-2*-2=16

So, -2^4 is equal to 16

16(2)-16/2

Multiply 16 and 2.

32-16/2

Divide 16 by 2

32-8

Subtract 8 from 32

24

The correct answer is 24

50 points!! A scale drawing of a building needs to be made using the scale 1 in = 190 ft. How tall will the building in the scale be if the building 2090 ft tall?

Answers

Answer:

11 inches tall

2090/190ft =11 inches

1inch=190ft

11x190

2090ft

Step-by-step explanation:

Answer:

11 inches

Step-by-step explanation:

We can use ratios to solve

1 inch          x inches

------------ = --------------

190 ft          2090 ft

Using cross products

1 * 2090 = 190 * x

Divide each side by 90

2090/190 = 190x/190

11 =x

11 inches

can someone help me with problem 20,21,22

Answers

Answer:

20-e 21b 22-c

Step-by-step explanation:

Answer This Question Please
10 points

Answers

Answer:

I have 5 friends each friend gives me an equal piece of cookie. at the end I have 5 pieces of cookie that equal one cookie!

Step-by-step explanation:

PLZ MARK ME BRAINLIEST!

PLSS ANSWER NOW I WILL RATE 5 STARS AND WILL GIVE BRAINLIEST
If you sleep 8 hours out of 24 hours, what percent of the time do you sleep?

Answers

Answer:

8/24 = 1/3

1/3 = 0.3333

0.3333 = 35%

Step-by-step explanation:

Answer:

(8 / 24) x 100 = 33.33 %

Step-by-step explanation:

HEY GUYS I NEED HELP WITH THIS PLZZ! write down everything from the detail of how yall found ur answer plzz! 20 points or more...

Math problem: Julie went shopping. She spent ⅙ of her money on books, ⅛ of her money on shoes and $5 on food. She had $13.50 left. Write an equation to represent this information. Solve the equation to find how much money she had at the beginning of the day?

Answers

Answer:

1/6+1/8+$13.50+$5=x

x=$18.79

Step-by-step explanation:

i add them

first i find the common denominator for 1/6 and 1/8

then i add 13.50 by 5

then add 18.50 by 7/24

i hope this explains how i got my answer

Answer:

Total amount of $ at beginning of day ⇒ ( About ) $ 26.1

Step-by-step explanation:

Let us say x represents ⇒ amount of $ at the beginning of the day;

If she spent 1 / 6 of this total money on books, we can say that the amount spent on books is 1/6x. Consecutively if 1/8 of this money was spent on shoes, the amount spent on shoes is 1/8x;

Knowing that $13.50 was remaining, let us set up the following equation;

x - ( 1/6x + 1/8x + 5 ) = 13.50 ⇒ now let us solve for x,

x - ( 1/6x + 1/8x + 5 ) = 13.50 ⇒ add similar elements, expanding,

x - ( 7/24x + 5 ) = 13.50 ⇒ distribute the minus sign

x - 7/24x - 5 = 13.50 ⇒ multiply either side by 24,

17x - 120 = 324 ⇒ add 120 to either side,

17x = 444,

Solution; Total amount of $ at the beginning of day ⇒ ( About ) $ 26.1

please choose any two and help me answer i will be very grateful and will mark you brainliest

Answers

Answer:

18 and 20, 4

Step-by-step explanation:

Math reasoning 1:

Set the first number as x and the other one as x+2 because it is a consecutive even number.

x+x+2=38

2x=36

x=18

18+2=20

The 2 consecutive numbers are 18 and 20

Problem solving 1:

Write out equation first, set the unknown number as x

5+x=9

x=4

Answers:

Top Yellow: 2(n+7) = 13

Bottom Red: 5(n-2) = 4

Step-by-step explanation:

Top Yellow Example: 2 times the sum of the number x and 7 is 13. Use words in the sentence to replace them with mathematical symbols. Sum is equal to +, etc. 2(n+7) = 13 is your answer.

The set of skills and knowledge needed to make informed decisions about
money matters is called
A. career literacy
B. financial literacy
C. family literacy
D. educational literacy

Answers

Answer:

The correct answer is option B. financial literacy

Step-by-step explanation:

Three times a number, X, increased by four is equal to five times the number, x. Which equation can be used to solve for x
3x+ 5x=4
3x4.5
3x4+5
3-4-5

Answers

Answer:

Step-by-step explanation:

Three times a number x :  3x

Three times a number x increase by 4:  3x +4

Five  times the number x: 5x

5x = 3x +4

Subtract 3x from both the sides.

5x - 3x = 3x +4 - 3x

2x = 4

Divide both sides by 2

2x/2 = 4/2

x=2

The number is 2

If the function rule is to multiply by 4, and an output value is 8, what is the input value?

a. 32
b. 16
c. 8
d. 2

Answers

Answer:

d. 2

Step-by-step explanation:

if you have to find the input just do the output divided by the muliply by which gives you the input

(0.4)power of 2 =2(0.4)= 0.8
Describe AND correct the error in evaluating the power.
Plz answer

Answers

Answer:

(0.4)² = (0.4).(0.4) = 0.16

His error is, instead of raising (0.4) to exponent 2, he multiplied (0.4) by 2 , obviously which is wrong

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

(.4) ^2 = this means .4  times  itself

.4*.4

.16

help please im confused

Answers

Answer:

(2,7)(3,2)

Step-by-step explanation:

Which of the following equations describes the graph?

Answers

Answer:

Option D  y=-3x^2 +4

Step-by-step explanation:

This is the correct answer because the graph is going down which shows that it is negative and the y intersect is +4

Option D hope this helps .

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 5 child bikes and 15 adult bikes in the week.

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

4c + 6a ≤ 120:

You can set up the inequality 4c + 6a ≤ 120, because it takes 4 hours to build per child bike (c) and 6 hours to build an adult bike (a), all together this time cannot surpass 120 hours. That is why you use the 'less than or equal to' sign.

4c + 4a ≤ 100:

You can then set up the inequality 4c + 4a ≤ 100, because it takes 4 hours to test a child bike (c) and 4 hours to test an adult bike (a). Since 100 hours is the max amount of time they can use to test out bikes, you will use the 'less than or equal to' sign.

4(5) + 6(15) = 20 + 90 = 110. 110 is less than 120

4(5) + 4(15) = 20 + 60 = 80. 80 is less than 100

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Answer:

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

I took the test on FLVS

A train is traveling at 30 miles per hour. The train is supposed to stop at 1:35 WHY is the train?

Answers

Answer:

i don't under stand this question but i think its because its supposed to stop at a certain time

Step-by-step explanation:

Answer:

The train is used to transfer people and instead of roads it uses railroad tracks. The train knows the way.

Step-by-step explanation:

Which situation can be modeled by the inequality 7x+6<30?

Answers

Answer:

I believe the answer would be the one involving dai's project.

Step-by-step explanation:

i hope this helps!

stay safe.

The correct question which can be modeled by the inequality

7x + 6 < 30 is,

⇒ Dai must complete a project in less than 30 days. He work on a project 7 days each. To date, 6 days have already passed. What is greater number of weeks Dai has left to complete the project.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The inequality is,

⇒ 7x + 6 < 30

So, For the given inequality, the correct question is,

⇒ Dai must complete a project in less than 30 days. He work on a project 7 days each. To date, 6 days have already passed. What is greater number of weeks Dai has left to complete the project.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

You build a seahorse hotel that’s 6 inches wide and 12 inches tall. It has a volume of 864 cubic inches. What is the hotel’s length?

Answers

Answer:

864/(6*12)

864/72

12 = l

Answer:

Step-by-step explanation:

V = l * b * h

l = V/(b * h)

L = 864/(6*12)

L = 864/72 = 12 inches

can someone please help

Answers

Find the interior angles of a hexagon
6-2= 4
4*180
=720

100+120+120+125+125=
590

720-590=130

x=130 degrees

In a class of 150 ​students, 95 are taking math​ (M), 77 are taking science​ (S), and 53 are taking both math and science. One student is picked at random. Find the probability.


P(taking math or science or​ both)=???????????? ​

(Round to three decimal places as​ needed.)

All my points ;c

Answers

31%is the answer i think

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the second number and 5. The situation can be represented by using the graph below, where x represents the second number. On a coordinate plane, a line goes through (0, 3) and (8, 7) and another line goes through (0, 5) and (8, 7). Which equations represent the situation? y= one-half x + 3 and y = one-fourth x + 5 y = 3 x + one-half and y = 5 x + one-fourth y = 2 x + 3 and y = 4 x + 5 y = 3 x + 2 and y = 5 x + 4

Answers

Answer:

answer A)

Step-by-step explanation:

y=1/2+3 And y=1/4+5 hope this helps

Answer:

Your Answer will be A!!!!

Step-by-step explanation:

y= one-half x + 3 and y = one-fourth x + 5

When the maximum value in a data set is exchanged for a higher
number, does it change any of the other numbers in the five-number
summary?​

Answers

Answer:

It doesn't change any of the other numbers of the five number summary. Only the maximum value of the data set changes, out of the five number summary of the data set.

Step-by-step explanation:

The five number summary of any data set consists of five values which includes

- The maximum value of the data set.

- The minimum values.

- The lower quartile.

- The upper quartile.

- The median.

These values are usually presented together and ordered from lowest to highest: minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), maximum value.

Replacing the maximum value with a higher number doesn't change any of the other five number summary as they all position markers, whose values do not change because of changes at one end of the distribution as the positions of the other variables n the dataset are untouched.

This means that, of the five number summary, only the maximum value of the data set changes.

Although, values like the range, mean and standard deviation also change too.

Hope this Helps!!!

There is no change in any of the other numbers of the five number summary.

Only the maximum value of the data set  is changed.

Data set of numbers :

The five number summary of any data set consists of five values which includes

Maximum value of the data set. Minimum values. Lower quartile. Upper quartile. Median.

The median divides the data into a lower half and an upper half.

The lower quartile is the middle value of the lower half. The upper quartile is the middle value of the upper half.

Learn more about the data set here:

https://brainly.com/question/25639778

Which of the following is not a translation of the algebraic expression 12.4 - 36 into words?
12.4 minus 3 times a number
The product of 3 and a number subtracted from 12.4
The difference of 12.4 and a quotient of and a number
The difference of 12.4 and 3 times a number

Answers

Answer:

The difference of 12.4 and a quotient of and a number because when it says quotient it is talking about division and you are not dividing anything.

Step-by-step explanation:

"The difference of 12.4 and a quotient of and a number" is not a translation of the algebraic expression.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

An algebraic expression 12.4 - 36.

The equivalent expressions are:

1). 12.4 minus 3 times a number 6.

Let a = 6

That means, 12.4 - 3(6)

2). The product of 3 and a number subtracted from 12.4.

Let a = 6

That means, 12.4 - 3(6)

3). The difference of 12.4 and a quotient of and a number.

That means,

12.4 - 3/6

4). The difference of 12.4 and 3 times a number.

Let a = 6

That means, 12.4 - 3(6)

Therefore, "The difference of 12.4 and a quotient of and a number" is a required expression.

To learn more about the expression;

brainly.com/question/24242989  

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In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?

Answers

Answer:

The tangent of ∠L represents the ratio between side NM and side LN.

The value of this tangent is 0.9028

Step-by-step explanation:

The angle ∠N is 90°, so we have a right triangle. In a right triangle, the tangent of an angle represents the ratio between the opposite side of that angle and the adjacent side (the cathetus, not the hypotenusa) of that angle.

So, in the triangle LMN, the opposite side to the angle ∠L is NM, and the adjacent side is LN (ML is the hypotenusa, because it is the bigger side). The value of this tangent is:

tan(L) = NM / LN = 65 / 72 = 0.9028

Answer:

65/72

Step-by-step explanation:

deltamath gave me the answer

Choose the function that represents the data in the table.
X
f(x)
0
-3
1
-1
2
1
3
3
4
5
5
7
f(x) =} - 3
f(x) = 2x-3
f(x) = x2 – 3
f(x) = 2x² – 3

Answers

Answer:

b

Step-by-step explanation:

find the value of x help plz​

Answers

Answer: 39 degrees

Step-by-step explanation: The box tells us that is a 90 degree angle. Subtract 90-51=39. They add to 90 degrees.

Answer:

Do you mean b? 39°

Step-by-step explanation:

90-51=39

Please mark as Brainliest! :)

Have a nice day.

Kerri attends a 40-minute yoga class 5 times per week. How much time does she spend in the yoga class over a 7-week period?

Answers

Answer:

1,400 minutes

Step-by-step explanation:

First, let’s find how much time she spends per week.

She attends a class that is 40 minutes long and she does this 5 times a week.

Therefore, we can multiply 5 and 40 to find the total time per week.

5*40

200

She spends 200 minutes per week and she does this over a 7 week period.

We can multiply 200 and 7

200*7

1,400

She spends 1,400 minutes in yoga class over a 7 week period.

Answer:

1,400 minutes.

Step-by-step explanation:

Kerri attends a 40-minute yoga class 5 times per week.

Multiply 40 by 5 to get the total minutes for one week:

[tex]40*5=200[/tex]

So, Kerri attends yoga classes for 200 minutes total for one week.

With that in mind:

[tex]\text {Total Minutes for a Week} * \text {Weeks} =\\\rightarrow 200 * 7=\\\boxed {1400}[/tex]

Kerri should attend yoga classes for a 1,400 minute total in a seven week span.

Between which consecutive years was the decrease in the price of gold per ounce greatest
A. 1972-73
B. 1973-74
C. 1974-75
D. 1975-76

Answers

Answer:

D. 1975-76

Step-by-step explanation:

In the picture attached, the price of gold per ounce is shown.

We can see that from the year 1972 to 1976 the only period in which the price decreased was in the period 1975-76, where prices decrease from approximately $220 per ounce to approximately $180 per ounce

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