Explain how to determine if the two expressions are equivalent using x = 6 and x = 2.

2x + 4 – 1 3 + x + x

Answers

Answer 1

Answer:

Well, if you substitute 2 and 6 on the first expression, the answer you get when x=2 is half of what you get when x=6

But for the second expression, the answers are not equivalent

Answer 2

Answer:

If both expressions have the same value after substituting and simplifying for x = 6 and x = 2, then they are equivalent. The value of both expressions is 15 when x = 6. The value of both expressions is 7 when x = 2. So, the expressions are equivalent

Step-by-step explanation:

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Related Questions

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:

Perimeter math problem.

Answers

i’m pretty sure the answer is E 35.9

Which ordered pairs could be points on a line parallel to the line that contains (3,4) and (-2,2) check all that apply.
Options:
(-2,-5) and (-7,-3)
(-1,1) and (-6,-1)
(0,0) and (2,5)
(1,0) and (6,2)
(3,0) and (8,2)

Answers

Answer:

B: (-1, 1) and (-6, -1)

D: (1, 0) and (6, 2)

E: (3, 0) and (8, 2)

Step-by-step explanation:

Hope this helps! :D

Answer:

there' yo answer. B,D,E

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.

What is the volume of a 3-foot-tall cylindrical trash can with a 1-foot radius?

Answers

Answer:

The volume of the cylinder in feet is

V= 9.43ft³

Step-by-step explanation:

Step one

The formula for the volume of a cylinder is given as

V=πr²h

Where r= radius

h= height

Step two

Given Data

Radius = 1foot

Height = 3 feet

Substituting in our formula we have

V=3.142*1²*3

V= 9.43ft³

Answer:

i just got this question... It was B

3pie ft^3

​​Step-by-step explanation:

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.

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 :)

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

Find the midpoint of the segment in the diagram

Answers

Answer:

(-1/2,1/2)

Step-by-step explanation:

We have  the two endpoints

(-3,-2) and ( 2,3)

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(-3+2)/2 = -1/2 =-1/2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(-2+3)/2 = 1/2

The midpoint is (-1/2,1/2)

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

Triangle ABC is a right triangle

The length of BC is 5 units.

The area of ABC is square units

B17, -2)

C(4,-6)

Answers

Question:

Triangle ABC is a right triangle

The length of BC is 5 units.

The area of ABC is ______ square units.

Cordinates are given below.

A(-9, 10)

B(7, -2)

C(4,-6)

Answer:

50 square units

Step-by-step explanation:

Image to question is attached.

Given:

Length of BC = 5 units

Coordinates:

A = (-9, 10)

B= (7, -2)

C = (4, -6)

Let's take BC as base, and AB as height.

Since we know length of BC, let's find length of AB.

Length of AB =

[tex] \sqrt{(-9 - 7)^2 +(10 + 2)^2 [/tex]

[tex] = \sqrt{(256)+(144) [/tex]

= 20.

Therefore, the area of triangle ABC [tex] = \frac{1}{2} b*h [/tex]

[tex] = \frac {1}{2} * 5 * 20 [/tex]

= 50 square units.

Answer: 50

Step-by-step explanation:

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!!!

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

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]

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°

Work out the percentage change to 2 decimal places when a price of £70 is increased to £99

Answers

Answer:

41.43%

Step-by-step explanation:

Change:

99 - 70 = 29

% change:

29/70 × 100

= 41.42857143%

Can you explain it and help me out pleasssee​

Answers

B is the correct answer.

Answer:

B.

Step-by-step explanation:

Answer:

B. x= -1, x=3

Step-by-step explanation:

4x²-8x -12 =0 /:4

x² - 2x -3=0

x² - 3x + x -3 = 0

x(x-3) + 1(x-3)=0

(x-3)(x+1)=0

x-3 =0 or x+1 =0

x=3 and x = -1

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

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:

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

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

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.

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

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

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].

For more details, prefer this link:

https://brainly.com/question/11234923

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

Factor completely. -5 x2y + 10 xy - 15 xy2

I need help.

Answers

Answer:

[tex]5\,x\,y\,(-x+2-3y)[/tex]

Step-by-step explanation:

Always proceed by first extracting all common factors to all terms:

Notice that the factors: 5, x, and y are present in all terms, so we can extract them from the trinomial:

[tex]-5x^2y+10xy-15xy^2\\5\,x\,y\,(-x+2-3y)[/tex]

Now, the trinomial left (-x+2-3y) cannot be factored out, so then factoring is complete.

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~

The edges of the bases of the frustum of a regular square pyramid have length 5 and 9, and the slant height of the frustum is 6. What is the:


VOLUME OF THE FRUSTUM

SURFACE AREA OF THE FRUSTUM


I NEED HELP PLEASE PLEASE PLEASE

Answers

The volume is 201√2 and the surface area is 274.

To solve the problem, we need to calculate both the volume and the surface area of the frustum of a regular square pyramid with given dimensions.

First, let's find the volume of the frustum. The volume V of a frustum of a pyramid can be calculated using the formula:

[tex]\[ V = \frac{1}{3}h(B_1 + B_2 + \sqrt{B_1B_2}) \][/tex]

where h is the height of the frustum, [tex]\( B_1 \)[/tex] is the area of the smaller base, and [tex]\( B_2 \)[/tex] is the area of the larger base.

Given that the edges of the bases are 5 and 9, the areas of the bases are:

[tex]\[ B_1 = 5^2 = 25 \] \[ B_2 = 9^2 = 81 \][/tex]

To find the height , we can use the Pythagorean theorem on the right triangle formed by the slant height, half of the difference of the base edges, and the height of the frustum:

[tex]\[ h = \sqrt{s^2 - \left(\frac{a_2 - a_1}{2}\right)^2} \][/tex]

where s is the slant height, [tex]\( a_1 \)[/tex] is the edge of the smaller base, and [tex]\( a_2 \)[/tex] is the edge of the larger base. Plugging in the given values:

[tex]\[ h = \sqrt{6^2 - \left(\frac{9 - 5}{2}\right)^2} = \sqrt{36 - 4} = \sqrt{32} = 4\sqrt{2} \][/tex]

Now we can calculate the volume:

[tex]\[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (25 + 81 + \sqrt{25 \cdot 81}) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (106 + \sqrt{2025}) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (106 + 45) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot 151 \] \[ V = \frac{1}{3} \cdot 604\sqrt{2} \] \[ V = 201\sqrt{2} \][/tex]

Next, let's calculate the surface area of the frustum. The surface area \( A \) of a frustum is the sum of the areas of the two bases and the area of the lateral surface:

[tex]\[ A = B_1 + B_2 + A_{\text{lateral}} \][/tex]

The lateral surface area [tex]\( A_{\text{lateral}} \)[/tex] can be found using the formula:

[tex]\[ A_{\text{lateral}} = \frac{1}{2}(P_1 + P_2)s \][/tex]

where [tex]\( P_1 \)[/tex] and [tex]\( P_2 \)[/tex] are the perimeters of the smaller and larger bases, respectively, and s is the slant height. Since the pyramid is regular and square:

[tex]\[ P_1 = 4a_1 = 4 \cdot 5 = 20 \] \[ P_2 = 4a_2 = 4 \cdot 9 = 36 \][/tex]

Now we can find the lateral surface area:

[tex]\[ A_{\text{lateral}} = \frac{1}{2}(20 + 36) \cdot 6 \] \[ A_{\text{lateral}} = \frac{1}{2} \cdot 56 \cdot 6 \] \[ A_{\text{lateral}} = 28 \cdot 6 \] \[ A_{\text{lateral}} = 168 \][/tex]

Adding the areas of the bases:

[tex]\[ A = 25 + 81 + 168 \] \[ A = 274 \][/tex]

Therefore, the volume and surface area of the frustum are:

[tex]\[ {V = 201\sqrt{2}} \] \[ {A = 274} \][/tex]

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.

Learn more about z score here:

https://brainly.com/question/31871890

#SPJ2

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