write the 3 terms of ( 2a+ax)^5 given the first terms in the expansion (b +2x) (2+ ax)^5 are 96 - 176x+cx^2. find the values of a,b,c

Answers

Answer 1

Answer:

a^5x^5, 10a^5x^4, 40a^5x^3

Step-by-step explanation:

Use pascal's triangle for the first one

(2+x)^5 * a^5

= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...

= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...


Related Questions

I am a three-digit number
My second an last digit are the same
The product of the digit of the numbe one less than me is not zero
The number one less than me is divisible by 45


Please help me solve this riddle. Thank you.

Answers

Answer:

766?

Step-by-step explanation:

Answer and Step-by-step explanation:

Three Digit Number.

***

Second digit = Last digit

*xx

I multiplied 45 from numbers 1-23, with 22 being the maximum # to multiply to get a 3 digit number that is divisible by 45, and 3 being the minimum # to multiply to get a 3 digit number that is divisible by 45.

Now to check which number it is.

When you multiply 45 by 17, you get 765. This number is supposed to be 1 less than the riddle's number. It also has to have the last 2 digits be the same.

So, lets add one to 765 to see if we solved the riddle.

765 + 1 = 766

766 is the answer!

#teamtrees #PAW (Plant And Water)

I hope this helps!

math! help! pls! pls!

Answers

Answer:

3. MNP = OPN

Step-by-step explanation:

the second could be as well, but the sequence is the same for the third option, thus the second option is wrong

The third one is correct. △MNP≌△OPN
Hope my answer helped u :)

i need help with 2 of these questions

Answers

Answer:

Why do you keep sending the same question over and over again?

Step-by-step explanation:

Total Time Taken = 16secs

10a). We're asked to calculate the rate of speed change for the first 5secs.

This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.

Why?

Acceleration is the rate of change of speed or the rate at which speed changes.

acceleration = v - u/t

where v = Final Speed

u = initial Speed.

Looking at the graph

You see that

Initial speed(u) = 1m/s

Final Speed(v) = 9m/s

t = 5secs

Acceleration = 9 - 1/ 5

a = 8/5

a = 1.6m/s².✅

10b)

We're asked to calc "t" from the graph.

Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².

This simply means that Constant Acceleration was held from "t" to the end of the Motion.

Do not confuse Constant Acceleration for Constant Velocity.

At Constant Velocity... Acceleration is zero(0)

At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.

Taking the same step as we used in calculating acceleration above

Given a= 2m/s²

a = v - u/∆t

Where ∆t means time change or difference.

From "t" to 16

The change in time is 16 - "t"

2 = 21 - 9/( 16 - t)

2 = 12/16-t

16-t = 12/2

16 - t = 6

t = 16 - 6

t = 10secs.✅

Have a great Day!.

How much money does an employee working
for a salary of $52,000 per year get paid
monthly?
A. $52,000 per month
B. $1,000 per month
C. $2,000 per month
D. $4,333 per month

Answers

Answer:

433

Step-by-step explanation:

433. . . . . . . ............,.. srry it made me write this much to answer

Answer:

The correct answer would be D!

Step-by-step explanation:

Employee's salary: $52,000

Months in a year: 12

52000 / 12 = 4,333.333(r)

Closest answer: D

what is the opposite of 7 plus the opposite of 9

Answers

Answer:

-7.11111111111

Step-by-step explanation:

Susan has four 20 point projects for math class. Susan’s scores on the first three projects are 18, 15,
and 16.

What score does Susan need to earn on project #4 to earn an 85% total average?

Answers

Answer:

Step-by-step explanation:

17*4=68

68-18=50

50-15=35

35-16=19

19

Cho 2 tập hợp A = {1;3;5;8}, B = {3;5;7;9}. Tìm A∩B và A∪B.

Answers

Answer:

gien

Step-by-step explanation:

Tami has both a checking account and a savings account at the bank. She has a total of $850 in both accounts. The ratio of checking savings is 3 to 7. How much money does tami have in her checking account? How much does she have in her savings?

Answers

Amount in her checking and saving account is $255 and $595

Given information:

Total amount in both accounts = $850

Ratio of checking to saving account = 3:7

Find:

Amount in her checking and saving accounts

Computation:

Total of ratio = 3 + 7

Total of ratio = 10

So,

[tex]Amount\ in\ her\ checking\ account = 850 \times \frac{3}{10}[/tex]

Amount in her checking account = $255

[tex]Amount\ in\ her\ saving\ account = 850 \times \frac{7}{10}[/tex]

Amount in her saving account = $595

Learn more:

https://brainly.com/question/19257327?referrer=searchResults

In the figure MX = NY
MX and NY are parallel.

i) Are the sides of ∠MPX equal to the sides of ∠NPY ?

ii) what is the special about the postion of P on MN

Answers

Answer:

i) yes

ii) it splits MN in half (bisector)

Step-by-step explanation:

We are given that MX and NY are parallel. This means, due to alternate interior angles, <XMN and <YNM are congruent as well as <MXY and <NYX. We are also given MX = NY. This is enough information to prove ΔMPX is congruent to ΔNPY due to ASA(two angles and a side between them).

(i) Now, because of this, we can say that all the sides of ΔMPX are congruent to those of ΔNPY. And, this means MP = NP. Since the point P divides the segment MN into two equal pieces, it's a bisector of MN(splits it in half).

Answer:

YesPoint of intersection

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Read the word problem below.

Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does she put in each box?

Which strategy could help solve this word problem?
If x represents the number of pencils per box, solve the equation 4x + 8 = 196.
Divide 196 by the sum of 4 and 8 and find the quotient.
Divide 196 by 4 and check that the remainder is 8.
If x represents the number of pencils per box, solve the equation 8x + 4 = 196.

Answers

Answer:

The last option 8x + 4 = 196

Step-by-step explanation:

8x + 4 = 196

8x = 192

x=192/8

x=24

The strategy that can help solve this word problem is : If x represents the number of pencils per box, solve the equation 8x + 4 = 196.

What is the strategy?

A strategy is an approach that leads someone to the nearest of the solution of a problem.

How to solve the equation?

Soni has 196 pencils.

Let, one box can accommodate x number of pencils.

Therefore 8 boxes can accommodate 8x number of pencils.

But she has 4 more pencils.

Hence, the required equation is 8x+4=196.

Learn more about the equation here :

https://brainly.ph/question/4246696

#SPJ2

Please explain how you got the answer also please, thank you :)

Answers

Answer:

x = 3

Step-by-step explanation:

The axis of symmetry passes through the vertex of the graph with equation

x = c

where c is the value of the x- coordinate of the vertex

The vertex is at (3, - 2 ) with x- coordinate 3 , then

x = 3 ← equation of axis of symmetry

what is the answer of 8-15=

Answers

Answer:

-7

Step-by-step explanation:

8 - 15 = -7
when u have a smaller number before it’s negative

Please answer this for me

Answers

Answer:

B

Step-by-step explanation:

It implies that his plane ticket and other expenses should all be less than the $2000 he has saved.

What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
x = 2
y = 2
x = 11
y = 11

Answers

Answer:

Its A   x=2

Step-by-step

so i told siri pick a number 1-4 and she picke 1 and it was right so good luck

Answer: x = 2

Step-by-step explanation:

got it right

what the value of x if 27/5 =4/x​

Answers

hi here’s the answer. Ask if u don’t understand

Step-by-step explanation:

[tex] \frac{27}{5} = \frac{4}{x} \\ 27 \times x = 4 \times 5 \\ 27x = 20 \\ \frac{27x}{27} = \frac{20}{27} \\ x = \frac{20}{27} [/tex]

Calculate the diameter of a
circle if its area is 113.1cm2.

Answers

Answer:

12 cm squared

Step-by-step explanation:

1. Since diameter is twice the radius and what we know is the area, you would divide the area, 113.1 cm, by Pi (3.14):

113.1 cm / 3.14 = 36.00084813

2. What you get is the radius which you have to square:

36.00084813 squared = 6.000070677

3. Now you double the radius in order to get the diameter:

6.000070677 x 2 = 12.00014135

12.0 cm squared

Tell me both the numbers for the 2 boxes pls

Answers

I don’t know the answer
The answer is 3 on top 4 on bottom

Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function.

Answers

Answer:

-2

Step-by-step explanation:

when x=0 y=-2... it is a decline

Y= 0.5x + 2 showing on the graph



Answers

Answer:

Y is output, x is input

Step-by-step explanation:

I. Given x is -1, 0, 1

II. Perform x in linear equation

           If x is -1

             y = 0.5(-1) + 2

             y = 1.5  

            => (-1, 1.5) -1 is x, 1.5 is y

            If x is 0

               y = 0.5(0) + 2

               y = 2

              => (0, 2) 0 is x, 2 is y

            If x is 1

                y = 0.5(1) + 2

                y = 2.5

               => (1, 2.5) 1 is x, 2.5 is y

III. Perform (x, y) in graph, there will be something like this

What is the measure of ZX?

Select the best answer from the choices provided.
A.38°
B.76
C.104
D.142°

Answers

Answer:

76°

Step-by-step explanation:

Angles adjacent to equal sides of a triangle are equal.

Exterior angle

= Sum of interior opposite angles

= 38° + 38°

= 76°

PLZ HELP QUICKLY!!!!!!!!!!!!
No LINKS PLEASE!!!!!!!!!

Answers

Answer:

Uhh i dont rly know sry

Step-by-step explanation:

I think its 0.5x + 3 (using the form y = mx +c ofc)

Visual Pantom 2
What would the 10th case look like?
• How many cirdes would be in the 10th case?
• How many cirdes would be in the 100th case? What would it look like?
• How many cirdes would be in the zero case? • What would it look like?
• Can you model the pattern with an expression? ​

Answers

The answer is B I think

need help fast, please

Answers

Answer: -9x+3y=27
As you can see when you plug in (2,_) into x in both equations -9x+3y=27 comes out with y being a higher number compared to the other equation. Thus the equation -9x+3y=27 is the answer having a higher rate of change!

pretty sure this is algebra

Answers

Answer :

[tex] \boxed{ \boxed{ \: \: \: \: 1.4 \: \: \: \: }}[/tex]

let's solve :

[tex] \hookrightarrow \: \dfrac{2a + 3b}{3b} [/tex]

[tex] \hookrightarrow \: \dfrac{2a}{3b} + \dfrac{3b}{3b} [/tex]

[tex] \hookrightarrow \: \dfrac{2a}{3b} + 1[/tex]

[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times \dfrac{a}{b} \big) + 1 [/tex]

[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times 0.6 \big) + 1[/tex]

[tex] \hookrightarrow \:( 2 \times 0.2) + 1[/tex]

[tex] \hookrightarrow \: 0.4 + 1[/tex]

[tex] \hookrightarrow \: 1.4[/tex]

Can someone answer this correctly because i am doing hegarty maths and i cant get this question wrong please someone help :)

Answers

Answer:

£ [tex]36[/tex]

Step-by-step explanation:

In this situation, the price of an item is (£ [tex]45[/tex]). It is given that there is a ([tex]\frac{1}{5}[/tex]) off discount on this item. To find the price of this item, one will have to subtract the discount rate from (1), this will yield the fraction of the object price that one has to pay. To find the actual amount one has to pay, one must multiply the fractional price of the object by the original price of the object. Using this line of thought, one can form the following equation:

[tex](1-(rate\ of\ discount))(original\ price)=sale\ price[/tex]

Substitute the given values into this equation:

[tex](1-\frac{1}{5})(45)=sale\ price[/tex]

Simplify: remember, a fraction with any number over itself equals (1). Bear in mind that one can only perform operations such as addition and subtraction between fractions with common denominators, that is the number under the fraction bar.

[tex](1-\frac{1}{5})(45)=sale\ price[/tex]

[tex](\frac{5}{5}-\frac{1}{5})(45)=sale\ price[/tex]

[tex](\frac{5-1}{5})(45)=sale\ price[/tex]

[tex](\frac{4}{5})(45)=sale\ price[/tex]

Now perform the multiplication. Divide the denominator by the number one is multiplying by, then multiply it by the numerator (number over the fraction bar).

[tex](\frac{4}{5})(45)=sale\ price[/tex]

[tex](4)(45 / 5)=sale\ price[/tex]

[tex](4)(9)=sale\ price[/tex]

[tex]36=sale\ price[/tex]

Answer:

The answer is 36$

Step-by-step explanation:

Basically, the original price is 45 dollars, but with the extra 20% off (This is just the 1/5 off) it will be 36. This is because 45/5 equals 9 and 45-9 is 36.

A box has length 3 feet, width 4 feet, and height 7 inches. Find the volume of the box in cubic feet and cubic inches. Round to the nearest tenth as needed.

Answers

Answer:

I think 72 inches I might be wrong

Need help with this question. Will give brainliest for correct answer.

Answers

Answer: the second to last

Step-by-step explanation: because there’s no multipcation in the first box and if you look at the rest it wou make sense for it to be the second to last

What is 17 rounded to the nearest tenth of an inch

Answers

You can't round 17 to the nearest tenth of an inch because 17 is a whole number.

1. Your school's Key Club decided to sell fruit baskets to raise
money for a local charity. The club sold a total of 80 fruit
baskets. There were three different types of fruit baskets.
Small fruit baskets sold for $15.75 each, medium fruit baskets
sold for $25 each, and large fruit baskets sold for $32.50
each. The Key Club took in a total of 52086.25. and they sold
twice as many large baskets as small baskets.
a. Formulate a system of three linear equations in three
variables to represent this problem situation. Be sure to
define your variables.
b. Solve the system of three linear equations using
technology with matrices. Write your answer in terms of
the problem situation.
c. Describe the solution in terms of the problem situation.
2. Is it always easier to solve a system of linear equations using
matrices? Explain your reasoning.

Answers

Let the small , medium and large baskets be denoted by s,m & l

Formulating the equations

s+m+l= 80--------- equation1

$15.75s+ $25 m + $32.5l = $2086.25------equation2

2s=l---------equation 3

Using the technology  s=15, m=35 and l= 30

15+35+30= 80--------- equation1

$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2

2(15)=(30)---------equation 3

Yes because multiple variables can be easily calculated through matrices using technology

In Matrix form

[tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]     = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Let A= [tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]

Z= [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]    

B = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Z= A⁻¹ B

A⁻¹= A mod/ det A

det A= -1

Using the technology  s=15, m=35 and l= 30

15 small baskets,

35 medium baskets

30 large baskets were sold.

Part C:

15+35+30= 80--------- equation1

$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2

236.25+ 875+ 975=$2086.25

$2086.25=$2086.25

2(15)=(30)---------equation 3

Answer 2:

Yes because multiple variables can be easily calculated using technology.

N.B There is a typing error in question its $2086.25 not 52086.25

What value of x makes the following equation true?
x3=-64

Answers

Answer:

Any value you choose for x will make the equation a TRUE statement.

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