The number 0.1111... repeats forever; therefore, it is irrational.

What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?

Marrrta [24]

Answer:

The quotient is $2x^2-5x+2$

Step-by-step explanation:

We want to simplify:

$\frac{6x^4-15x^3+10x^2-10x+4}{3x^2+2}$

We factor the numerator to get:

$\frac{(x-2)(2x-1)(3x^2+2)}{3x^2+2}$

We cancel out the common factors to get:

$(x-2)(2x-1)$

Therefore the quotient is $2x^2-5x+2$

8 0

4 years ago

What is the IQR (Inter Quartile Range) for the data set? 11 6 19 14 21 7 13 15 15 Question 10 options: 8 9 15 17

Gnesinka [82]

IQR is the Q3 - Q1

Put the data in order.....

6, 7, 11, 13, 14, 15, 15, 19, 21
^ ^ ^
9(Q1) 14(Q2) 17(Q3)

17 (Q3) - 9 (Q1) = 8 (IQR)

So the answer to your question is the first option, 8.

Hope this helps! :D

7 0

3 years ago

The lengths of the bases of the right trapezoid are 9 cm and 18 cm. The length of a longer leg is 15 cm. Find the area of the tr

finlep [7]

Firstly, we will draw figure

now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle

because of opposite sides of rectangle ABMD are congruent

so,

DM=AB=9

CM=CD-DM

CM=18-9

CM=9

now, we can find BM by using Pythagoras theorem

$BM=\sqrt{BC^2-CM^2}$

now, we can plug values

we get

$BM=\sqrt{15^2-9^2}$

$BM=12$

now, we can find area of trapezium

$A=\frac{1}{2} (AB+CD)*(BM)$

now, we can plug values

and we get

$A=\frac{1}{2} (9+18)*(12)$

$A=162cm^2$

so, area of of the trapezoid is $162cm^2$ ..........Answer

6 0

3 years ago

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or n

RUDIKE [14]

If the points are scattered it’s no correlation

7 0

3 years ago

Carlita has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 14 feet. She wants to in

meriva

Lets solve the question,

Given dimensions are:

Length = 26 feet

Width = 14 feet

concrete walkway with width = c

After installing the concrete walkway dimensions of the walkway will be,

Length = 26 + 2c

Width = 14 + 2c

She wants to build a wooden deck around the pool with a concrete walkway of width = w

Thus the dimensions of the wooden deck around the pool will be,

Length = $26 + 2c + 2w$

Width = $14 + 2c + 2w$

Now the perimeter of the wooden deck will be,

Perimeter = 2(length + width)

$= 2[(26 +2c + 2w) + 2(14 + 2c + 2w)] = 2(40 + 4c + 4w) = (80 + 8c + 8w)$

Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w

Perimeter = (80 + 8c + 8w)

Learn more about Perimeter on:

brainly.com/question/397857

#SPJ10

6 0

2 years ago