All categories

2 years ago

(y 3 - 4y 2 + 7y - 6) divided by (y - 2)

Mathematics

1 answer:

Anvisha [2.4K]2 years ago

4 0

Answer:

Quotient: y^2 -2y +3

Remainder = 0

Step-by-step explanation:

We need to solve he equation:

y^3-4y^2+7y-6 ÷ y -2

It is solved in the figure attached below:

After solving we get

Quotient: y^2 -2y +3

Remainder = 0

You might be interested in

Write the data set that is shown on the dot plot in ascending order.

Lady_Fox [76]

Answer:

Step-by-step explanation:

1,2,3,3,3,3,5,6,7,10,10,10,11,11,12,12,13,13,

14,15

5 0

2 years ago

In the lottery game known as 6/36, a player picks six numbers from 1 to 36. (a) How many different ways are there for the player

Goryan [66]

Answer:

Step-by-step explanation:

Part A

This is a combination problem. Order does not matter.

36C6

36!/(30! 6!)

36 * 35 * 34 * 33 * 32 * 31/ 6!

1402410240/6!

1947792

Part B

1 / (36C6)

0.000000513 or

0.0000005

3 0

2 years ago

What is the solution to this system if equations

Inessa05 [86]

solution is (x, y ) → (- 1, 4 )

y + 2x = 2 → (1)

y + 4x = 0 → (2)

subtract equation (1) from (2) to eliminate term in y

(y - y ) + (4x - 2x ) = (0 - 2 )

2x = - 2 ( divide both sides by 2 )

x = - 1

substitute x = - 1 in either (1) or (2) and solve for y

(1) → y - 2 = 2 ( add 2 to both sides )

y = 4

solution is (x, y ) → (- 1, 4 )

7 0

2 years ago

3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount,

Inessa [10]

(a) 3x=4(x-2.25) (or simplified: 3x=4x-9)

(b) 3x=4x-9
0=x-9
x=$9

(c) 3x9=27
4x9=36
36-9=27
and 27=27 therefore they spent the same and it is correct

(d) Tanya's items cost $9 each and Tony's items cost $2.25 less than this, or $6.75

3 0

3 years ago

Match the expressions given in words with their values when m=6.

Gemiola [76]

Answer:

Value of expression 1 = 3

Value of expression 2 = 42

Value of expression 3 = 15

Value of expression 4 = 2

Step-by-step explanation:

Expression 1 : the sum of m and 3 divided by the difference of m minus 3

Expression 1 $: \frac{m+3}{m-3}$

Substitute m = 6

So, value of expression 1= $\frac{6+3}{6-3}=3$

Expression 2 : the sum of 3 times m and 4 times m

Expression 2: 3m+4m

Substitute m = 6

So, value of expression 2=3m+4m=3(6)+4(6)=42

Expression 3 : the difference of the product of 3 and m minus the quotient of m divided by 2

Expression 3: $3m-\frac{m}{2}$

Substitute m = 6

So, value of expression 2= $3m-\frac{m}{2}=3(6)-\frac{6}{2}=15$

Expression 4 :the quotient of 6 divided by the difference of m minus 3

Expression 4: $\frac{6}{m-3}$

Substitute m = 6

So, value of expression 4= $\frac{6}{m-3}=\frac{6}{6-3}=2$

4 0

2 years ago