Graph the line 3x + 6y =12.

Answers

Answer 1
Answer:

Answer: Slope=−  2.000/1.000  =−0.500

x−intercept=  1/4  =4.00000

y−intercept=  2/4  =2

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(12)=0

Pull out like factors :  3x + 6y - 12  =   3 • (x + 2y - 4)

Solve :    3   =  0

A a non-zero constant never equals zero.

Solve   x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+2y-4  = 0 and calculate its properties

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

 x-intercept = 4/1  =  4.00000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 2.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.000/2.000 = -0.500

 Slope = -1.000/2.000 = -0.500

 x-intercept = 4/1 = 4.00000

 y-intercept = 4/2 = 2


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In a survey of a community, it was found that 85% of the people like winter season and 65% like summer season. If none of them did not like both seasonsi) what percent like both the seasons

Answers

Answer:

50%

Step-by-step explanation:

Let :

Winter = W

Summer = S

P(W) = 0.85

P(S) = 0.65

Recall:

P(W u S) = p(W) + p(S) - p(W n S)

Since, none of them did not like both seasons, P(W u S) = 1

Hence,

1 = 0.85 + 0.65 - p(both)

p(both) = 0.85 + 0.65 - 1

p(both) = 1.50 - 1

p(both) = 0.5

Hence percentage who like both = 0.5 * 100% = 50%

HELP PLS Could use some assistance ​

Answers

Answer:C

Step-by-step explanation:

In the first 1/6 hour of a rain storm, 1/10 inch of rain fell. If the rain continues to fall at the same rate, how much rain fell in 2 1/2 hours?

Answers

Answer:

3/2 inches

Step-by-step explanation:

TIME REMAINING54:32
Tom would like to take out a secured loan to help pay for a vacation this summer. He has offered his car as collateral.
His car is worth $3,500. His bank can offer loans for 80% of collateral value. The vacation he has planned will cost
$4,750. Approximately how much additional collateral will Tom need to offer in order to borrow enough to go on his
vacation as planned?
$1,000.00
b. $1,362.50
c. $2,437.50
d. $2,800.00
a.
Please select the best answer from the choices provided
A
B.
ОООО
D

Answers

Tom will need to offer additional collateral of C. $2,437.50 to borrow enough for his planned vacation.

What is collateral?

Collateral refers to a valued property or financial security offered by the borrower to the lender to guarantee repayment of a loan.

Lenders sell collaterals when the borrowers fail to comply with their loan terms.

How is the additional collateral determined?

Car's value = $3,500

Collateral value in percentage = 80%

Car's collateral value = $2,800 ($3,500 x 80%)

Planned cost of vacation = $4,750

Additional cost to meet vacation cost = $1,950 ($4,750 - $2,800)

Additional collateral value to meet target = $2,437.50 ($1,950/80%)

Total collateral that Tom needs to offer = $5,937.50 ($3,500 + $2,437.50)

80% of $5,937.50 = $4,750

Another way is to work with the planned cost and the collateral percentage offered by Tom's bank:

Planned cost of vacation = $4,750

Collateral value in percentage = 80%

Total collateral to be offered by Tom = $5,937.50 ($4,750/80%)

Car's collateral value = $3,500

Additional collateral value = $2,437.50 ($5,937.50 - $3,500)

Thus, Tom needs additional collateral of C. $2,437.50.

Learn more about collateral at brainly.com/question/11665626

#SPJ1

Write a formula for the general term or nth term for the sequence. Then find the indicated term. three fourths comma three sixteenths comma StartFraction 3 Over 64 EndFraction comma StartFraction 3 Over 256 EndFraction ...; a 8

Answers

Sequence: 3/4, 3/16, 3/64, 3/256
a8=?
a1=3/4
a2=3/16
a3=3/64
a4=3/256

a2/a1=(3/16)/(3/4)=(3/16)*(4/3)=4/16=1/4
a3/a2=(3/64)/(3/16)=(3/64)*(16/3)=16/64=1/4
a4/a3=(3/256)/(3/64)=(3/256)*(64/3)=64/256=1/4
a2/a1=a3/a2=a4/a3=r=1/4

an=a1*r^(n-1)
an=(3/4)*(1/4)^(n-1)
an=(3/4)*(1)^(n-1)/(4)^(n-1)
an=(3/4)*(1/4^(n-1))
an=(3*1)/[4*4^(n-1)]
an=3/4^(1+n-1)
an=3/4^n

n=8→a8=3/4^8
a8=3/65,536

Answers:
The general term or nth term for the sequence is: an=3/4^n
a8=3/65,536

Please help, i will give brainliest

Answers

Answer:

24

Step-by-step explanation:

hope i helped