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inysia [295]
3 years ago
14

Simplify 3 – b(7b + 2) + 3b – (11 – b).

Mathematics
2 answers:
lutik1710 [3]3 years ago
6 0

Answer: -7b2+2b-8

Step-by-step explanation:

I just did the assignment

bixtya [17]3 years ago
4 0
<span>Simplifying 7b + -4 + 3b + 11 + -1b = 0
 
Reorder the terms: -4 + 11 + 7b + 3b + -1b = 0
 
Combine like terms: -4 + 11 = 7 7 + 7b + 3b + -1b = 0
 
Combine like terms: 7b + 3b = 10b 7 + 10b + -1b = 0
 
Combine like terms: 10b + -1b = 9b 7 + 9b = 0
 
Solving 7 + 9b = 0
 
Solving for variable 'b'.
 
Move all terms containing b to the left, all other terms to the right.
 
Add '-7' to each side of the equation.
7 + -7 + 9b = 0 + -7
 
Combine like terms: 7 + -7 = 0 0 + 9b = 0 + -7 9b = 0 + -7
 
Combine like terms: 0 + -7 = -7 9b = -7
 
Divide each side by '9'. b = -0.7777777778 Simplifying b = -0.7777777778</span>
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A detergent company periodically tests its products for variations in the fill weight. To do this, the company uses x-bar and R
maw [93]

Answer:

10.9361

Step-by-step explanation:

The lower control limit for xbar chart is

xdoublebar-A2(Rbar)

We are given that A2=0.308.

xdoublebar=sumxbar/k

Rbar=sumR/k

xbar      R

5.8        0.42

6.1         0.38

16.02    0.08

15.95    0.15

16.12     0.42

6.18      0.23

5.87     0.36

16.2      0.4

Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8

Xdoublebar=88.24/8

Xdoublebar=11.03

Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8

Rbar=2.44/8

Rbar=0.305

The lower control limit for the x-bar chart is

LCL=xdoublebar-A2(Rbar)

LCL=11.03-0.308*0.305

LCL=11.03-0.0939

LCL=10.9361

8 0
3 years ago
According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x^5
nata0808 [166]

Answer:

The correct option is A.

Step-by-step explanation:

The question is:

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?

A).f(x) = 3x5 – 2x4 – 9x3 + x2 – 12

B).f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x

C).f(x) = 12x5 – 2x4 + 9x3 – x2 + 3

D).f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48

Solution:

The function given to us is:

3x5 – 2x4 + 9x3 – x2 + 12

Find the factors of 12 and consider it as 'p'

The factors of 12 are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q'

The factors of 3 are:

q = +/- 1 , +/- 3

We know that we write rational terms in p/q form.

Therefore the Rational roots are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Now we will solve the first function given in part A.

f(x) = 3x^5 – 2x^4 - 9x^3 + x^2 - 12

Again find the factors of 12 and consider it as 'p'

The factors are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q' .

q = +/- 1 , +/- 3

Rational root are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Therefore the rational roots of the given function matches the rational roots of the given equation.

Hence the correct option is A

6 0
3 years ago
The football team has 2 large water containers. Each container holds 345π in3 of water. Each player is given a cylindrical water
raketka [301]

Answer:

They'll be able to get 34 bottles from the containers.

Step-by-step explanation:

Since the bottles are cylindrical we can calculate their volume by using the following formula:

V = base_area*h

V = \pi*(r^2)*h

r = d/2 = 4/2 = 2 inches

V = 3.14*(2^2)*5 = 3.14*4*5

V = 3.14*20 = 62.8 inches^3

In order to know how many full bottles the players will get we need to divide the total volume of the containers, which is given by the sum of the volume of each container, and divide it by the volume of each bottle. We have:

bottles = (345*pi + 345*pi)/62.8 = 690*pi/62.8 = 2,166.6/62.8 = 34.5

Since the problem wants the amount of full bottles we only take the integer part, so they will be able to get 34 bottles from the containers.

4 0
3 years ago
Which list shows these numbers in order from least to greatest?
ira [324]

Answer:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15...

3 0
3 years ago
What is the value of the expression 1.6(x−y)2 when x = 10 and y = 5?
Luba_88 [7]

Answer:

1.6(10-5)2= 1.6(5)2= (8)(2)=16

Step-by-step explanation:

7 0
1 year ago
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