simplify (y + 1)^5y + 1)^3​

Answers

Answer 1

Note: Your expression sounds a little unclear, so I am assuming your expression is

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

But, the procedure to solve the expressions involving exponents remains the same, so whatever the expression is, you may be able to get your concept clear.

In the end, I will solve both expressions.

Answer:

Please check the explanation

Step-by-step explanation:

Given the expression

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

solving the expression

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]

[tex]\left(y+1\right)^5\left(y+1\right)^3=\left(y+1\right)^{5+3}[/tex]

                          [tex]=\left(y+1\right)^8[/tex]

Therefore, we conclude that:

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3=\left(y+1\right)^8[/tex]

IF YOUR EXPRESSION IS THIS

                       ↓

[tex]\left(y\:+\:1\right)^{\left(5y+1\right)^3}[/tex]

solving the expression

as

[tex]\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3[/tex]

so

[tex]\left(5y+1\right)^3=125y^3+75y^2+15y+1[/tex]

               [tex]=125y^3+75y^2+15y+1[/tex]

Thus, the expression becomes

[tex]\left(y+1\right)^{\left(5y+1\right)^3}=\left(y+1\right)^{125y^3+75y^2+15y+1}[/tex]


Related Questions

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45. The cost for 8 tickets is $271.95. Write and solve a linear equation to find the total cost to order 12 tickets.

Answers

Answer:

401.951

Step-by-step explanation:

Answer:

$401.951

Step-by-step explanation:


Find the equation of the line
PLEASE HELP

Answers

Y=-3x+7..................

Answer:

y = -3x +7

Step-by-step explanation:

The equation for a line is: y = mx + b

m = slope

x = the x-value

y = the y-value

b = the y-intercept

Since the y-intercept is 7, we know the first part of the equation is: y = mx +7

Also, since the line is decreasing from right to left, m is going to be negative. A way to calculate the m is rise/run. Count how many blocks it is going horizontally (run)and how many blocks it is increasing/decreasing when going to the right (rise). Then divided the "rise" over "run". Another way is to choose two points. Now use the equation y1-y2/x1-x2,

or  y2-y1/x2-x1. I am going to show using the equation.

My two points are (0,7) and (2,1)

change in y (rise):7-1 = 6

change in x (run): 0-2 = -2

6/-2 = -3. Your slope is -3. Now lets put it all together.

y = -3x +7

You can see that for every square moved to the right ONCE the y value is decreasing by 3 each time.

You spend $39.48 at At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in August. At the end of the summer, how much money do you have in the bank? the store. You pay at $50.00. What is your change

Answers

Answer:

820.11

Step-by-step explanation:

-39.48

603.15+90.89=694.04

694.04+106.03=800.07

800.07+70.04+870.11

870.11-50.00=820.1

Which fraction is equivalent to 0.6?

Three-tenths
One-third
Three-fifths
Two-thirds

Answers

3/5 is equivalent to 0.6

Answer:

C. three- fifths

Step-by-step explanation:

Because if you multply 3/5 by 2 you get 6/10 Which is .6

I hope this helps!!!!


4x + 9 = 2x + 15 .. I need help

Answers

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

4x + 9 = 2x + 15

Step 2: Solve for x

Subtract 2x on both sides:                    2x + 9 = 15Subtract 9 on both sides:                      2x = 6Divide 2 on both sides:                          x = 3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4(3) + 9 = 2(3) + 15Multiply:                               12 + 9 = 6 + 15Add:                                     21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 3 is the solution to the equation.

HELP ME ASAP PLS
tommy had 8 times more money than loren. when parents gived 35cents to loren and tommy spent 14cents both of kids had same money. how much tommy had in start? how much loren had in start?

Answers

Answer:

Tommy had 56 cents in start and Loren had 7 cents in start.

Step-by-step explanation:

Let,

x be the money Tommy have.

y be the money Loren have.

According to given statement;

Tommy had 8 times more money than Loren.

x = 8y     Eqn 1

Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore

x-14=y+35    Eqn 2

Putting x=8y in Eqn 2

[tex]8y-14=y+35\\8y-y=35+14\\7y=49[/tex]

Dividing both sides by 7

[tex]\frac{7y}{7}=\frac{49}{7}\\y=7[/tex]

Putting y=7 in Eqn 1

[tex]x=8(7)\\x=56[/tex]

Hence,

Tommy had 56 cents in start and Loren had 7 cents in start.

Problem is in pictures !

Answers

Answer:

its A my bro mark me brainleist please

Step-by-step explanation:

IM RUNNING OUT OF TIME AND I ONLY HAVE A FEW MINUTES LEFT PLEASE HELP ME!!! IM GIVING 15 POINTS

Answers

Answer:

what is l and multiply l by 4 my guy

Step-by-step explanation:

Answer:

x = 25

<HKL  = 102

Step-by-step explanation:

<LKH + <HKJ = 180 since the two angles form a straight line

<LKH + <HKJ = 180

4x+2 + 78 = 180

Combine like terms

4x+80 =180

Subtract 80 from each side

4x+80-80=180-80

4x= 100

Divide by 4

4x/4 = 100/4

x = 25

<LKH  = 4x+2 = 4*25 +2 = 100+2 = 102

Those two please I really need help

Answers

Answer:

Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope

the first one is B because the line is not going up or down so the slope is 0
the second one is C because the points do not form any type of straight line so it can’t form any negative or positive correlation

PLEASE help ASAP will give brainlist

Answers

Answer:

if im not mistaken it would be 6

Step-by-step explanation:

because you half the 18

how many times does 46 go into 296?​

Answers

Answer:

6.4347826087

Step-by-step explanation:

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?

F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x

Answers

I think the answer would be letter H

The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ3

The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. The city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on. What is the correct estimate of the amount generated to the local economy?

Answers

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333.[tex]\bar3[/tex]

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

[tex]\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}[/tex]

Substituting the known values gives;

[tex]\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k = \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3[/tex]

Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.[tex]\bar3[/tex].

Answer:

it A

Step-by-step explanation:

PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.

So basically it wants the y-value :)

Answer:

1.25

Step-by-step explanation:

the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line

Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.

Answers

Answer:

callum bought 78.6 stamps

Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?

A) 21 years old

B) 22 years old

C) 24 years old

D) 27 years old

Answers

I’m sure it’s 26 but I can’t find the answer here
Let the age of Victor be x and the age of Mr Smith will be x+81

After 3 years 4(x+3)= x+81+3

4x+12= x +84

4x-x= 84–12= 72

3x = 72. Or x = 24

Now Victor's age is 24 and Mr. Smith is 105

In three years Victor will be 27and Mr. Smith will be 108 (four times of 27)

what is 7/10 divided by 6 to the second power?

Answers

Answer:0.01944444444 if it is like that then there is going to be a line above 4 for repeating.

Step-by-step explanation:

please let me know if this helps I had questions like this but I don't know if that what they are asking for you to do too! have a great day and I dont mean to be greedy but may i please have BRAINLIEST?    

laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?

Answers

Answer:

laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?Step-by-step explanation:

Answer:

g

Step-by-step explanation:

6th grade math i mark as brainliest​

Answers

Answer:it’s d

Step-by-step explanation:

Answer:

C. 17 (24 * 14)

Step-by-step explanation:

24 * 14 how much 1 cow can eat in 2 weeks. multiplied by the total number of cows 17.

Translate the sentence into an inequality
The sum of 3 and w is grater than 22

Answers

The answer is 3+w>22

Write the slope-intercept form of the equation that is described below.

Through (-3, 3) and parallel to y = 1/3x + 5

Answers

Final Answer: [tex]y = \frac{1}{3}x + 4[/tex]

Steps/Reasons/Explanation:

There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.

Step 1: Substitute slope from the original line ([tex]\frac{1}{3}[/tex] in this case) into the slope-intercept equation.

[tex]y = \frac{1}{3}x + b[/tex]

Step 2: Substitute the given point [tex](-3, 3)[/tex] into the x and y values.

[tex]y = \frac{1}{3}x + b[/tex]

[tex]3 = \frac{1}{3}(-3) + b[/tex]

Step 3: Solve for b (the y-intercept).

[tex]3 = \frac{1}{3}(-3) + b[/tex]

[tex]3 = -1 + b[/tex]

[tex]+1[/tex] = [tex]+1[/tex] [tex]+[/tex] [tex]b[/tex]

[tex]4 = b[/tex]

Step 4: Substitute this value for b in the slope-intercept form equation.

[tex]y = \frac{1}{3}x + 4[/tex]

~I hope I helped you :)~

Answer:

y = 1/3x + 5

Step-by-step explanation:

(-3, 3)

x  ,  y

x1 = -3

y1 = 3

The formula we will use is y - y1 = m ( x - x1)

We will now replace y1 and x1 with the coordinate points (-3, 3).

We will keep x1 = -3, and y1 = 3.

then you will plug in the numbers giving you an equation like:

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

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

y - 3 = 1/3x +1

  + 3          + 3

y = 1/3x + 4

I am 100% sure I am correct.

If you want free answers to your questions you can use math

way, which is  a free website

It gives you FREE answers to math problems and they are always reliable.

I always use it to check my answers as I did with this problem too you may go there to check my answer if you would like just type in y = 1/3x + 5 , (-3, 3)

then when options pop up select parallel, because you want to solve for a parallel line.

I hope I helped you a lot and my answer is correct.

Please mark me as brainliest and have a good day!

The probability of event A occurring is 0.65. The probability of events A and B occurring together is 0.33. Events A and B are independent. What is the probability of event B?

Answers

Answer:

1-0.65 = 0.35 I think the probability of B is 0.35

Step-by-step explanation:

Answer: Approximately 0.51

======================================================

Explanation:

If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.

We're given the following

P(A) = 0.65P(A and B) = 0.33

So,

P(A and B) = P(A)*P(B)

0.33 = 0.65*P(B)

P(B) = 0.33/0.65

P(B) = 0.5076923076923

which is approximate. When we round to 2 decimal places, we get 0.51

question: How many unites down would triangle RST need to be translated in order for the coordinates of R to be (-3, 0)​

Answers

Answer C 5 units .... because you start at R and if you want to translate it to R’ (-3,0) you will count down until you have reached -3 which will be 5 units

Two triangles are congruent if
A. the pictures look the same
B. corresponding sides and corresponding angles are congruent
C. any two sides and any one angle are congruent
D. corresponding angles are congruent

Answers

Answer:

B is your answer

Step-by-step explanation:

I think it’s b sorry if I’m wrong

3
What is another way to write the equation 7X+7
-82
07
8
3
+ = -6
4
0
7+3
X=-6
8+4
73
4
3
©*-*=

Answers

Answer:

The answer is the first option that states that you can write this expression as [tex]7(\frac{x}{8}) + \frac{3}{4} = -6[/tex]

Step-by-step explanation:

In order to solve this question we will need to know how to factor fractions. In our case we can do the following.

[tex]\frac{7}{8}x = \frac{7x}{8} = 7(\frac{x}{8})[/tex]

So now we since [tex]\frac{7}{8} x= 7(\frac{x}{8} )[/tex] ⇒

⇒ [tex]\frac{7}{8}x + \frac{3}{4} = -6[/tex]

   [tex]7(\frac{x}{8}) + \frac{3}{4} = -6[/tex]

Answer: A

I just did the test

Which ratio is equivalent to 5:9?
9:45
25:81
27:15
30:54

Answers

sorry but none are correct

Answer:

The Answer is D 30:54

Step-by-step explanation:

5 times 6 is 30 and 6 times 9 is 54

Can the equation below be used to solve the following problem? If not, explain why.
0.75x + 3 = 0.25x + 5.25

Joseph has $3.00 in his piggy bank and he adds $0.75 each day. Kelsey has $5.25 in her piggy bank and she spends $0.25 each day. When will Joseph and Kelsey have the same amount in their piggy banks?

Answers

Yes you can use this equation to solve this problem

The difference of 10x and 3x is less than or equal to the sum of 4x and 21.

Answers

Answer:

«means less than or equal to

x«7

Step-by-step explanation:

10x-3x«4x+21

7x«4x+21

7x-4x«21

3x«21

divide both sides by 3

x«21/3

3 will divide 21, 7times

x«7

yo im timed please help!! at the top it says "car A is traveling east at a steady speed of 45 mph. after 2 hours it is 100 miles east of Johnstown . car B is traveling east on the same road. its distance east of Johnstown is represented by the graph" il give 20 more points if you're correct

Answers

Answer:

it could be C or a

Step-by-step explanation:

more likey c be sorry if it's wrong

1/2(2c - 4) = 1/3(6c - 30)

Please don’t give me a wrong answer

Answers

are you trying to solve for c? if so c=8
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