State the type of trinomial, and factor: y2 + 8y + 16.
A. regular trinomial; (y + 2)(y + 8)
B. regular trinomial; (y ­– 2)(y – 8)
C. perfect square trinomial; (y + 4)2
D. perfect square trinomial; (y + 8)2

Answers

Answer 1
The answer to your question is the third option because both terms (y^2 and 16) can be simplified into a perfect square
Answer 2

Answer: Option C

We will factor 16 so that the sum of the factors is 8.

Such factors are 4 and 4.

So the factorization of the given expression is:

[tex]y^2+8y+16\\=y^2+4y+4y+16\\=y(y+4)+4(y+4)\\=(y+4)(y+4)\\=(y+4)^2[/tex]

So the given trinomial is a perfect square trinomial.

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Related Questions

Perimeter math problem.

Answers

i’m pretty sure the answer is E 35.9

Find the area of the shaded region. Round to the nearest tenth.

Answers

Answer: 9.3

Step-by-step explanation:

Find the number in the tenth place 2 and look one place to the right for the rounding digit 8. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Answer:

11.6

Step-by-step explanation:

Solve -2x + 1 < -3


x < 2


x > 2


x = 2

Answers

Answer:

x > 2

Step-by-step explanation:

-2x+1 < -3

     -1    -1

-2x < -4

-2x/-2 < -4/-2

x>2

You reverse the sign when dividing by a negative number.

Step-by-step explanation:

x>2

−2x+1<−3

−2x<−3−1

−2x<−4

x>-4/-2

x>4/2

x>2

Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 foot long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. What is the total amount of time, in hours, it takes Roberto to decorate both signs. Show or explain each step you used to find your answer​

Answers

Answer: It takes Him 1/4 hours to decorate both signs,

Step-by-step explanation:

Hi, since the area of a rectangle is equal to:

Area: length x width

Replacing with the values given;

Sign 1 =A1 = 2/3 x 1/4 =1/6 ft2

Sign 2 =A2= 1/2 x 1/3 = 1/6 ft2

If we sum both areas:

A1 +A2 = 1/6 + 1/6 = 2/6 ft2 = 1/3 ft2 (total area)

Since it takes Roberto 3/4 hour to decorate a 1-square-foot sign:

For 1/3 ft2

3/4 hour x 1/3 ft2 = 1/4 h

ITt takes Him 1/4 hours to decorate both signs,

It takes Roberto 1/4 hour to decorate both signs.

To find the total amount of time it takes Roberto to decorate both signs, we need to calculate the area of each sign first and then determine the time required for each based on the given rate of 3/4 hour per 1 square foot.

1: Calculate the area of each sign

First sign: The dimensions are 2/3 foot long and 1/4 foot wide. The area (A) is length × width.
A1 = (2/3) × (1/4) = 2/12 = 1/6 square foot.Second sign: The dimensions are 1/2 foot long and 1/3 foot wide. The area (A) is length × width.
A2 = (1/2) × (1/3) = 1/6 square foot.

2: Calculate the total area of both signs

Total area (Atotal) = A1 + A2 = 1/6 + 1/6 = 2/6 = 1/3 square foot.

3: Calculate the total time to decorate both signs

It takes Roberto 3/4 hour to decorate 1 square foot. So, for 1/3 square foot:
Time = (3/4) × (1/3) = 1/4 hour.

Therefore, it takes Roberto 1/4 hour to decorate both signs.

The circle above has a radius of 9 cm what is the area of the circle? pi equals 3.14

Answers

Answer:

The area of the circle would be 254.469004941 cm²

Hope this helps!! :)

Answer:

254.34cm²

Step-by-step explanation:

In order to find the area of a circle, you use the formula

[tex]A=\pi[/tex]×[tex]r^{2}[/tex], which is [tex]A=\pi (9)^{2}[/tex] if put into this problem.

You look for [tex]9^{2}[/tex] which equals 81. Then you plug it in to multiply to [tex]\pi[/tex]. Which is:

[tex]A=81\pi[/tex]

[tex]A= 254.34[/tex]

What is the radius of the cone?
1 cm
2 cm
4 cm
8 cm

Answers

Answer:

The radius of the cone is 2 cm. Hope this helps!!!

Step-by-step explanation:

Answer:

answer is 2 cm

Step-by-step explanation:

please help i’ll mark brainlest

Answers

++-Answer:58

Step-by-step explanation:

Answer:

∠ H = 84°

Step-by-step explanation:

Since HI = IJ then Δ HIJ is isosceles with ∠ IHJ = ∠ IJH, thus

∠IHJ = [tex]\frac{180-134}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23°

Similarly

Since HG = JG then Δ HGJ is isosceles with ∠ GHJ = ∠ GJH, thus

∠ GHJ = [tex]\frac{180-58}{2}[/tex] = [tex]\frac{122}{2}[/tex] = 61°

Thus

∠ H = ∠ GJH + ∠ IHJ = 61° + 23° = 84°

What is the volume of a cylinder with the base radius 3 and height 8 either enter an exact awnsers in terms of pi or use 3.14 for pi and enter your awnser as a decimal

Answers

Answer:

V=226.195

Step-by-step explanation:

Answer:

226.08

Step-by-step explanation:

because 3.14 times 3 squared times 8 is what it equal

Identify the pair of angles as complementary, supplementary, or neither.







A.
supplementary

B.
complementary

C.
neither

Answers

B. complementary because 126+54= 180°

Answer:

B

Step-by-step explanation:

hope this helps

stay safe

brainliest is appreciated. :))))

What are the coordinates of vertex F of parallelogram FGHJ? (–2, 2) (–2, 6) (–3, 4) (–4, 2)

Answers

Question:

Parallelogram f"g"h"j" is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj.  The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)

what are the coordinates of vertex f of parallelogram fghj?

(–2, 2)

(–2, 6)

(–3, 4)

(–4, 2)

Given:

Given that the the coordinates of the parallelogram f''g''h''j'' is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj.

The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)

We need to determine the coordinates of vertex f of parallelogram fghj.

Reflection across y - axis:

The general rule to reflect the coordinate across y - axis is given by

[tex](x,y) \rightarrow (-x,y)[/tex]

Substituting the coordinate f''(3,4), we get;

[tex](3,4)\rightarrow (-3,4)[/tex]

Thus, the coordinates of f'' of reflection across the y - axis is (-3,4)

Translation  T1,2(x, y):

The translation can be performed using the rule,

[tex]T_{1,2}(x,y)=(x+1,y+2)[/tex]

Now, substituting the coordinate (-3,4), we get;

[tex]T_{1,2}(-3,4)=(-3+1,4+2)[/tex]

[tex]T_{1,2}(-3,4)=(-2,6)[/tex]

Thus, the coordinates of vertex F is (-2,6)

Hence, Option b is the correct answer.

The answer is D) (-4,2) on Edge 2020

QUESTION 1

Use function notation to write the equation of the line.

Answers

Answer:

the equation is f(x)= 2/3x -2. or c

Step-by-step explanation:

you know that it cant be d because the y- intercept is -2 not +2. and you know that it cant be b because it is a positive slope. to find the slope you need to find 2 points that that the line crosses through, like (0, -2) and (3,0). now you see that it goes up 2 and over 3. 2/3

f(x)= 2/3x -2

I know the answer is 11, but can anyone explain to me why?
(I will mark the first one to answer as brainliest!!)

Answers

Answer:

we know that the most repeated value is mode and here we can see that the most repeated value is 11 that is 20 times so it's mode is 11.

Hope you understood

A plumber has a piece of pipe that is 5-meter long. He needs to cut it into sections that are 10
centimeters long.
How many sections will he be able to cut?
Complete the explanation about how you found your answer.
It can be cut into
sections.
5 meter(s) is equal to
x 100 cm =
cm.

Answers

The plumber able to cut the 5-meter long pipe into 50 sections, each measuring 10 centimeters.

To find the number of sections the plumber  able to cut from a 5-meter long pipe, to convert the length to centimeters.

That 1 meter is equal to 100 centimeters. So, to convert 5 meters to centimeters, multiply 5 by 100:

5 meters × 100 centimeters/meter = 500 centimeters

Now that the length of the pipe in centimeters (500 cm), divide it by the desired length of each section, which is 10 centimeters:

500 centimeters / 10 centimeters/section = 50 sections

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Which of the following are not terms in the series below? Check all that apply.

Answers

Answer:

the answer is A and B on edg

Step-by-step explanation:

Answer:

1/3 and 1/2

Step-by-step explanation:

hope this helps :)

find the solution for the system of linear equations by substitution: y = x. y = 2x - 4

Answers

Answer:

y= 4

Step-by-step explanation:

The answer would be Y=4

Mateo has two fish tanks that have different volumes.
He wants to use the tank that can hold the greatest
amount of water. Which tank should he use, and why?
Mateo should use
The correct answer was tank:B

Answers

Answer: Tank B, because it has the greatest volume

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I don't really know, but his fish needs more space to move around, like all fish tanks.

PLEASE HELP I WILL GIVE BRAINLIEST!
Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds

Answers

Answer:

3 MIN AND 46 SECONDS. ITHINK BUT DONT QUOTE ME

Step-by-step explanation:

Answer:

3 minutes 12 seconds

Step by step explanation:

His average speed for the first race was 4.16 m per minute because 525m/126 being the amount of seconds is 4.16. You take this over to the other race and divide 800 by 4.16 to get the amount of seconds which is 192. So she took 3 minutes and 12 seconds to finish the second race.

The probability of winning the shell games if you randomly pick is 1 in 3. What would be the approximate probability of winning 4 games in a row?

Answers

Answer:

1 /81

Step-by-step explanation:

1/3 * 1/3 * 1/3 * 1/3 (One for each game) = 1/81

This question is based on the probability. Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].

Given:

The probability of winning the shell games if you randomly pick is 1 in 3.

We need to calculate the approximate probability of winning 4 games in a row.

According to the question,

By using the formula of probability,

[tex]Probability = \dfrac{Number \, of \, favourable \, outcome}{Total \, number \,of\, Outcome}[/tex]

It is given that,  probability of winning is 1 in 3.

Now, calculating the approximate probability of winning 4 games in a row is,

[tex]\dfrac{1}{3} \times\dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{81}[/tex]

Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].

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What is the probability of rolling a 2 on a dice AND pulling a spade out of a deck of
cards?
1/6
1/12
1/10
1/24

Answers

1/24 because you have a 1/6 chance of rolling a 2 and a 1/4 chance of pulling a spade and when multiplied you get 1/24

write 2.463 in expanded form and word form​

Answers

Answer:

Standard Form:

2.463

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 2  

+   0.4

+   0.06

+   0.003

Expanded Factors Form:

 2 × 1  

+ 4 ×   0.1

+ 6 ×   0.01

+ 3 ×   0.001

Expanded Exponential Form:

2 × 100

+ 4 × 10-1

+ 6 × 10-2

+ 3 × 10-3

Word Form:

two and four hundred sixty-three thousandths

Use technology or a z-distribution table to find the indicated area.

The weights of apples in a bin are normally distributed with a mean of 143 grams and a standard deviation of 4.2 grams.

Approximately 30% of the apples weigh less than which amount?

133 g

B.) 135 g

C.) 137 g

D.) 141 g

Answers

Answer:

I think it's answer D. (141).  :D

Step-by-step explanation:

30% of the apples weigh less than 141 grams.

What is z- distribution?

The z-distribution, also known as the standard normal distribution or the standard Gaussian distribution, is a probability distribution that is often used in statistics. It is a special case of the normal distribution with a mean of 0 and a standard deviation of 1.

First, we need to find the z-score corresponding to a cumulative probability of 0.30.

Using the z-distribution table, we find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52.

The z-score formula is given by:

z = (x - μ) / σ

Where:

z is the z-score

x is the value we want to find the corresponding z-score for

μ is the mean of the distribution

σ is the standard deviation of the distribution

Rearranging the formula to solve for x:

x = zσ + μ

x = -0.52 (4.2) + 143

x ≈ 140.94

Therefore, 30% of the apples weigh less than 141 grams.

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Carla, the baker, worked for 5 hours to make cookies. She made 380 cookies altogether. Write an equation to express how many cookies Carla made each hour.

Answers

380 Divided by 5 hours =76 cookies per hour
380 divided by 5 would be 76 cookies an hour.

Factor x 2 + 29x - 30.

(x + 15)(x - 2)
(x + 1)(x - 30)
(x - 1)(x + 30)

Answers

Answer:

Step-by-step explanation:

x² + 29x - 30

Product =  -30

Sum = 29

Factor = 30 * (-1)

x² + 30x  - 1x - 30 = x*(x + 30) -1*(x +30)

      = (x + 30) (x - 1)

Answer:

(x - 30)(x - 1)

That's your answer!!!

Jane is the regional manager of Graphic DesignWorks. She earns an annual
salary of $82,500. She manages 5 branches of Graphic Design Works equally.
How much of her salary will each branch pay for?
O
A. $16,500
O B. $25,800
O C. $20,625
O D. $50,000

Answers

Answer:

A. $16,500

Step-by-step explanation:

82500/5

What is the type of fee charged for withdrawing money from a CD before the
date of maturation?
O
O
O
A. FDIC fee
B. Early redemption fee
C. Liquidity fee
SUBMIT
PREVIOUS

Answers

Answer: early redemption fee

Step-by-step explanation:

The type of fee charged for withdrawing money from a CD before the date of maturation is Early redemption fee.

We have to determine the type of fee charged for withdrawing money from a CD before the date of maturation.

We have given

A. FDIC fee

What is the FDIC fee?

It required the largest taxpayer bailout in the year 2008 financial crisis, explained in a footnote on its schedule of fees for business accounts in the nation's  states that it charges an FDIC insurance fee at the annual rate of 13 cents per $100.

It related to insurance so it is not correct option.

B. Early redemption fee

The fee  may be required to make to a lender if we pay off a loan or mortgage before the scheduled term of the credit facility.

So the Banks and credit unions often charge a fee if you withdraw money before maturity.

Therefore the Option B is correct.

C. Liquidity fee

This is nothing but the  liquidity facility providers that the borrower may from time to time agree to pay.

Therefore this is not correct option

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Solve -6x + 19 = x-2. Check for extraneous solutions.

Answers

Answer:

x=3 one solution

Step-by-step explanation:

Let's solve your equation step-by-step.

−6x+19=x−2

Step 1: Subtract x from both sides.

−6x+19−x=x−2−x

−7x+19=−2

Step 2: Subtract 19 from both sides.

−7x+19−19=−2−19

−7x=−21

Step 3: Divide both sides by -7.

−7x /−7  =  −21 /−7

x=3

Answer:

x = 3

Step-by-step explanation:

Solve -6x + 19 = x-2

Solve for x:

19 - 6 x = x - 2

Subtract x from both sides:

19 + (-6 x - x) = (x - x) - 2

-6 x - x = -7 x:

-7 x + 19 = (x - x) - 2

x - x = 0:

19 - 7 x = -2

Subtract 19 from both sides:

(19 - 19) - 7 x = -19 - 2

19 - 19 = 0:

-7 x = -19 - 2

-19 - 2 = -21:

-7 x = -21

Divide both sides of -7 x = -21 by -7:

(-7 x)/(-7) = (-21)/(-7)

(-7)/(-7) = 1:

x = (-21)/(-7)

The gcd of -21 and -7 is -7, so (-21)/(-7) = (-7×3)/(-7×1) = (-7)/(-7)×3 = 3:

Answer: x = 3

Does the following equation determine y to be a function of x? Y2=x+3

Answers

Answer:

no

Step-by-step explanation:

cant mult. by power of 10

Answer:

no

Step-by-step explanation:

please help
A parallelogram is shown below:


Part A: What is the area of the parallelogram? Show your work. (5 points)

Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle?

Answers

Answer:

Step-by-step explanation:

part A. area = L X H

9 x 8/9 = 72/9 = 8 square feet

Part B. Draw a line diagonally either between Point A & C or B & D, this would make 2 triangles.

the area of the triangle would be half of the full area so 8 / 2 = 4 feet square

The area is 60 squared units. perimeter is 38 units list all combinations & identify the correct dimension ​

Answers

Answer:

The dimensions are lenght = 15 units

And width = 4 units

Step-by-step explanation:

Kindly refer to the attached image for explanations

Find the range of the data set 145,612,120,349,515,212,590

Answers

Answer:

the range is 492

Step-by-step explanation:

to find range you have to subtract the smallest number from the largest number so you would subtract 120 from 612 which gets you 492

Answer:

The range in the following data set is 470.

Step-by-step explanation:

It's easy, you just have to subtract the highest number from the data set with the lowest number.

So the highest value in this data set would be 590 and the lowest number in the list is 120.

So:

Range: 590 - 120 = 470

~hope this helps~

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His odometer Read 1460.3 when he began and 1830.2 at the end. If he used 20 gallons of gas how many miles per gallon did he get E16 13B (L0 3) (Accounting for Restricted Stock) Holt Company issues 10,000 shares of restricted stock to its new CEO, on January 1, 2020. The stock has a fair value of $260,000 on this date. The service period related to this restricted stock is 5 years. Vesting occurs if the CEO stays with the company for 5 years. The par value of the stock is $1. At December 31, 2021, the fair value of the stock is $180,000.Instructions(a)Prepare the journal entries to record the restricted stock on January 1, 2020 (the date of grant) and December 31, 2021.(b)On February 22, 2022, the CEO leaves the company. Prepare the journal entry (if any) to account for this forfeiture. An industrial manufacturer that works with one or a few large clients and develops products that only these clients will use is most likely to implement a(n) ________ strategy.