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3 years ago

6x4/5=___ the product lies between _ and ___

1 answer:

5 0

4 and 5

This is because when you multiply 6 by 4 you get 24. Then you divide it by 5 which is 4.8, the answer lies between 4 & 5.

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In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

$(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7$

$= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7$

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> $a^7 = 128$

=> $a = \sqrt[7]{128}\\ \\\\a = 2$

For the second term:

$a^6b = -224$

$b = \frac{-224}{a^6}$

$b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5$

Therefore, a = 2, b = 3.5

5 0

3 years ago

Does the equation x2 - 6x + y2 - 6y = -9 intersect the y-axis

Lana71 [14]

The y intercept is= (0,3)

6 0

3 years ago

An airplane on autopilot took 8 hours to travel 5,744 kilometers. What is the unit rate for kilometers per hour?

guajiro [1.7K]

Answer:718 kilometers per hour

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

suppose the cost of renting a scooter varies directly with the number of hours. It costs $37.50 to rent a scooter for 5 hours. a

Mademuasel [1]

Y = (37.50/5)x
y = 7.50x

Graph: Since the graph will start at the origin (0,0) and has a constant rate of $7.50 per hour, the graph will be linear and in proportion. Some cooridinate are as follows:

x: 0 1 2 3 4 5 ....(add 1...)
y: 7.5 15 22.5 30 37.50 45....(add 7.50...)

8 0

3 years ago

Read 2 more answers

There are 12 481 people at a concert.

frozen [14]

Step-by-step explanation:

Number of children= 12481-3575=3575

Fraction of girls present= 1-⅗=⅖

Number of girls present= 3575×⅖=1430

3 0

3 years ago

6x4/5=_____ the product lies between ___ and ___

6x4/5=___ the product lies between _ and ___