12 less than 1 eleventh of some number w

Answers

Answer 1
Answer: This is the equation:
1/11 - 12 = w

This is the answer:
-11(10/11)

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Which of the following is equivalent to 6x 2 + x - 12 ?A. (2x + 3)(3x - 4)
B. (2x - 3)(3x - 4)
C. (2x + 3)(3x + 4)
D. (6x + 3)(x - 12)
E. (x + 3)(2x - 12)
Please show me step by step how to solve this problem
Thanks

Answers

6x^2+x-12=6x^2-9x+8x-12=3x(2x-3)+4(2x-3)\n\n=(2x-3)(3x+4)\n\nother\ method:\n\n6x^2+x-12\na=6;\ b=1;\ c=-12\n\Delta=b^2-4ac\to\Delta=1^2-4\cdot6\cdot(-12)=1+288=289\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(289)=17

x_1=(-1-17)/(2\cdot6)=(-18)/(12)=-(3)/(2);\ x_2=(-1+17)/(2\cdot6)=(16)/(12)=(4)/(3)\n\n6x^2+x-12=6(x+(3)/(2))(x-(4)/(3))=2\cdot3(x+(3)/(2))(x-(4)/(3))\n\n=2(x+(3)/(2))\cdot3(x-(4)/(3))=(2x+3)(3x-4)

Determine the equation of a circle having a diameter with endpoints at (12,-14) and (2,4)

Answers

The \ equation \ of \ a \ circle \ with \ centre \ (a,b) \ and \ radius \

(12,-14) , \ \ \ (2,4)\nSince \ the \ center \ of \ the \ circle \ is \ the \ midpoint \ of \ the \ line \ segment \n connecting \ two \ endpoints \ of \ a \ diameter \n\nMidpoint \ Formula \n\n(a,b)=((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))=((12+2)/(2),(-14+4)/(2))=((14)/(2),(-10)/(2))=(7,-5)

The \ radius \ is \ the \ distance \ from \ the \ center \ to \ some \ point \ on \ the \ circle.\n The \ distance \ from \ (7,-5) \ to \ (12, -14) \ is: \n \n r= \sqrt{(x_(2)-x_(1))^2 +(y_(2)-y_(1))^2}\n\nr= √((12-7)^2 +(-14+5)^2)=√(5^2+(-9)^2)=√(25+81)=√(106)\n\n(x-7)^2+(y-(-5))^2= (√(106))^2 \n \n(x-7)^2+(y+5)^2=106
 

If 1/4 in. represents 1 ft. what distances are represented by lines of the following lengths: 2 in., 5 in., 1 1/2 in., 2 2/3 in., 4 7/8 in.?

Answers

Answer:

2 > 8

5 > 20

1.5 > 6

2 2/3 > 10.667

4 7/8 > 19.5

Step-by-step explanation:

(Use cross multiplication or algebra to solve)

Answer:

Step-by-step explanation:

Make q clear

I need helps please and ty​

Answers

Answer:

y=7x+4

Step-by-step explanation:

Values of x and y satisfy the equation y=7x+4

Select all that apply.Debra usually works 16 hours a week, but this week she worked 22 hours. What is the change in her hours?


an increase of 6 hours
an increase of 37.5%
an increase of 27.3%
a decrease of 6 hours

Answers

If you would like to know the change in Debra's hours, you can calculate this using the following steps:

x% of 16 hours is 22 hours
x% * 16 = 22
x/100 * 16 = 22
x = 22 * 100 / 16
x = 137.5%

137.5% - 100% = 37.5%

22 hours - 16 hours = 6 hours

The correct result would be: an increase of 6 hours, and an increase of 37.5%.

Answer:

a decrease of 6 hours

an increase of 37.5%

Step-by-step explanation:

Hope it helps :b

Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest?

Answers

Unlike credit card purchases, interest charged on cash advances is already incurred even if you pay before the due date. 

32% is the annual interest rate
1 month is the term
200 is the principal

32% / 12 months = 2.67% per month

200 * 2.67% = 5.34 monthly interest

200 * 32% = 64  annual interest
64/12 = 5.33  monthly interest

She has to pay $5.34 in interes

Answer: A. $5.33

Step-by-step explanation:

I took the test on edge