3. In the expansion of (ax^2+ by)^8 the coefficients of last two terms are -5832 and 6561, respectively.

Find the values of: a and b

Answers

Answer 1

Answer:

a =  -0.33

b = 3

Step-by-step explanation:

(ax²+ by)⁸

by the 8th level of Pascal Triangle, the coefficient of last 2 terms are

8 a*b⁷ = -5832  ... last 2nd term 8 ab⁷ x²y⁷

b⁸ = 6561   ... last term b⁸y⁸

b = 3

a = -5832/(8*3⁷) = -0.33


Related Questions

the rate of change is _____ inches of growth per week​

Answers

Answer:

4.5 inches per week

Step-by-step explanation:

Easy conversions

lily likes to collect records. Last year had 12 records in collection. Now has 15 records. What is the percent increase of ​collection?

Answers

Answer:

25% increase in records

Step-by-step explanation:

25% = 1/4

1/4 of 12 = 3

she got 3 new records, therefore a 25% increase

what does x equal in 150 = -6(x)^2 + 100x -180

Answers

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

x

=

25

+

130

3

,

25

130

3

Decimal Form:

x

=

12.13391808

,

4.53274858

Step-by-step explanation:

Answer:

x=\frac{25-\sqrt{130}}{3}

Step-by-step explanation:

x_{1,\:2}=\frac{-100\pm \sqrt{100^2-4\left(-6\right)\left(-330\right)}}{2\left(-6\right)}

x_{1,\:2}=\frac{-100\pm \:4\sqrt{130}}{2\left(-6\right)}

x_1=\frac{-100+4\sqrt{130}}{2\left(-6\right)},\:x_2=\frac{-100-4\sqrt{130}}{2\left(-6\right)}

x=\frac{25-\sqrt{130}}{3},\:x=\frac{25+\sqrt{130}}{3}

Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).

Answers

Answer:

(y+3)=2(x-5)

Step-by-step explanation:

PLEASE HELP ME OUT!!!

Convert the following

0.005 kg = _____ dag

0.075 m = ______ cm

Answers

Answer:  0.5 dag and 7.5 cm

Step-by-step explanation:

1 Decagram (dag) =10^-2 kg

We can change this into a conversion factor by dividing either side into the other. Since we want to change Kg into dag, I'll divide both sides by 10^-2kg:

1 Decagram (dag)/10^-2 kg = 1

Now we can multiply this times 0.005 kg:

(0.005 kg)*(1 Decagram (dag)/10^-2 kg)

this equals 0.5 dag

------------

100 cm = 1 meter

(100 cm/1 meter):  Conversion factor

(0.075 m)*((100 cm/1 meter) = 7.5 cm

0.005 kg = 0.5 dag
0.075 m = 7.5 cm

Please help
2x−9≥17
Ancwers:
x≤3

x≤13

x≥3

x≥13

Answers

Add 9 to -9 and 17.
You should have 2x<26 (canceled out the 9) (flip because you subtracted)
Divide the 2x and the 26 by 2.
Should be x is greater than or equal to 13 (x>13)

Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.

Answers

Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.

Step-by-step explanation:

had this question

write an Algebraic expression for 3 times X squared minus 4 times X

Answers

Answer:

3x2 - 4x

Step-by-step explanation:

this is the algebric expression

3x^2 - 4x

Of course, if you are writing this down, just square the x

what part of 3 dollars are 25 nickels

Answers

Answer:

25 nickles are 5/12ths of a dollar

Step-by-step explanation:

25*5=125, or $1.25. Now we make this a fraction, we get 1.25/3, or 5/12

The 25 nickels are the 5/12 part of the 3 dollars.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that 1 nickel = 0.05 dollars.

Then the number of dollars in 25 nickels will be given as,

⇒ 25 x 0.05

⇒ $1.25

Divide the number 1.25 by 3. Then we have

⇒ 1.25 / 3

⇒ 5 / 12

The 25 nickels are the 5/12 part of the 3 dollars.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

8+w/4 when w is 16
plz answer it for me plzzz

Answers

Answer:

8+w/4 Putting w = 168+16/4(32+16)/4= 48/4= 12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

ne ajudemmmm pfvvv ...​

Answers

Answer:

NEED TRANSLATOR

Step-by-step explanation:

ENGLISH PLEASE

In the equation y=14x what is the constant of proportionality.

Answers

14

Step by step explanation:

7.4x10^7 in standard form

Answers

Answer: 740000000

Step-by-step explanation:

Answer:

0.000074

7.4×10−5

To write in standard notation, move the decimal point on

7.4

over as many times as the power of ten given.

Move to the left if the given power has a negative exponent

Move to the right if the given power has a positive exponent

Therefore:

7.4×10−5=0.000074

Slope of a line pls answer

Answers

Answer:

[tex]m = - \frac{1}{2}[/tex]

Step-by-step explanation:

hope this helps!

(a + 2)/(a ^ 2 + a) - 3/(a - 2)​

Answers

Answer:

Step-by-step explanation:

(a + 2)/(a ^ 2 + a) - 3/(a - 2)​

The LCD is (a^2 + a)(a - 2) so we have

[(a + 2) - 3(a^2 + a)] /  (a^2 + a)(a - 2)

= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)

= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)

A bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?

Answers

Answer:

No, the ratio is a bit inconsistent.

Step-by-step explanation:

The relationship between 14 and 84 red beads is multiplying by 6.

The relationship between 19 and 133 gold beads is multiplying by 7.

Hope this helps,

A cheerful teen willing to help,

stay positively safe!

3 of 5 people were eligible to vote 180 citizens actually voted

Answers

Your answer would be 108
You’re answer would be 108

Someone plz help me :(

Answers

Step-by-step explanation:

option A is correct answer

Answer:

Should be C if not then A

Step-by-step explanation:

What is 16 1/2 as an improper fraction.

Answers

Answer: 16_1/2 improperly is simply 33/2.

1 2 3 4 01 6 7 8 00 9 A laptop has a listed price of $590.99 before tax. If the sales tax rate is 6.25%, find the total cost of the laptop with sales tax included Round your answer to the nearest cent, as necessary. ​

Answers

Answer: $627.93

Step-by-step explanation:

If tax is 6.25%

6.25% of $590.99= $36.94

Price + tax = total cost

Total cost = $590.99 + $36.94 = $627.93

Triangle ABC has perimeter 22 cm.
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.

Answers

Answer:

Step-by-step explanation:

A = 8 cm

B = 5 cm

C = 22 - 8 - 5 = 9 cm

Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.

8^2 + 5^2 = 9^2

64 + 25 = 81

89 = 81

89 does not equal 81, so this is not a right triangle.

what is the weight of a square if a triangle weighs 4 grams ​

Answers

Answer:

8 grams

Step-by-step explanation:

Given the formula for area of a triangle versus a square:

Square = bh

Triangle = 1/2bh

A triangle has half of the area of a square, therefore it should weigh half as much. Multiply the weight by 2.

4 * 2 = 8

Find the value of m when 0.21: 6.3= 0.06: m

Answers

Answer:

1.8

Step-by-step explanation:

0.21 : 6.3 = 0.06 : m

=> 0.21/6.3 = 0.06/m

=> m = 0.06 x 6.3 / 0.21

m = 1.8

Hope this helps!!

Let f(x)=cosx. Determine the x-value(s) where the function has a maximum or minimum value on [0,2π).

Answers

Answer:

can u say what subject is that

(0, 1) is a local maxima and (π, −1) is a local minima of the given function.

The given function is f(x)=cos(x).

What is a function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

Amplitude: 1

Period: 2π

Phase Shift: None

Vertical Shift: None

The coordinates to plot the graph are (0, 1), (π/2, 0), (π, -1),....

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (π/2 +πn,0), for any integer n

y-intercept(s): (0,1)

Use the derivative to find the maximum and minimum.

(0, 1) is a local maxima and (π, −1) is a local minima

Therefore, (0, 1) is a local maxima and (π, −1) is a local minima of the given function.

To learn more about the function visit:

https://brainly.com/question/9554035.

#SPJ2

The sun of 3 less than 5 times a number and the number increased by 9 is 24. What is the number?

Answers

Answer:

the answer is 3

Step-by-step explanation:

5 x - 3 + x + 9 =24

6X + 6 = 24

6X =18

×=3

what is the answer??????​

Answers

Step-by-step explanation:

Take lcm of 6,8,10 = 120

40 + 60 + 60/ 120

= > 160/ 120

= > 4/3 = 4 (1/3)

Use the Distributive Property to
simplify the following:
7(y + 3) =

Answers

Answer:

7y+21

Step-by-step explanation: i solve it hope this help.

Answer:

[tex]\bold{7y+21}[/tex]

Step-by-step explanation:

Hi there!

Let's solve this math problem by using the Distributive Property.

All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):

[tex]\bold{7(y+3)}[/tex][tex]\bold{7y+21}[/tex]

Hope it helps! Enjoy your day!

~ Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-)}[/tex]

What is the degree of angle o?
Show work

Answers

180 - 78 = 102 hope this help
180-78 and you get the degree for angle n and use 180-24-n then you’ll get the degree of angle o

Identify next three numbers in this sequence: 2, 8, 4, 16, 12

Answers

The next three numbers are 48, 44, 176

Answer:

2, 8, 4, 16, 12, 30, 26, 50

Step-by-step explanation:

The first is determinate the different ([tex]d[/tex]) between each consecutive value ([tex]a_n - a_{n-1}[/tex]).

[tex]8 - 2 = 6\\4 - 8 = -4\\16 - 4 = 12\\12 - 16 = -4\\[/tex]

How you can see when the position of the number in the sequence is odd you have to sum a number [tex]6x[/tex] and when the position of the number in the sequence is a even number you have to substract -4.

Why [tex]6x[/tex]? If you see the first two odd position numbers in the sequence are multiples of 6, then we made the deduction that each time that you sum a number this is a multiply of 6 and -4 is constant for each position even number.

Then for each odd position number in the sequence it's representation is of the form:

[tex]a_{n-1} + 6x = a_n[/tex]

Where [tex]a_{n-1}[/tex] is the number of before, [tex]x[/tex] the odd position of the number in the sequence and [tex]a_n[/tex] is the current value of [tex]a_n[/tex]

So the rest of the sequence is of the next form:

[tex]12 + 6(3) = 30[/tex]

[tex]30 -4 = 26[/tex]

[tex]26 + 6(4) = 50[/tex]

So the final answer is [tex]\{30, 26, 50\}[/tex]

Find the perimeter. Simplify your answer.

Answers

7y+10+7y+10+y-4

14y+20+y-4

15y+20-4

15y+16

answer= 15y+16

Answer:

7y+10+7y+10+y-4=

(7y+7y+y)+(10+10-4)=

15y+16=

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