Which is the graph of linear inequality x-2y>-12 help!

Answers

Answer 1

Answer:

The below attached graph shows the given inequality.

Step-by-step explanation:

Here, the given inequality,

x - 2y > -12

Since, related equation of the inequality,

x - 2y = -12

Which is a line passes through (-12, 0) and (0, 6)

Also, '>' represents dotted line,

So, join these two points by dotted line in the coordinate plan,

Now,

0 - 2(0) > -12 (True)

i.e. shade the region of the line that contains origin.

By the above explanation we will get the graph of given inequality ( shown below )

Which Is The Graph Of Linear Inequality X-2y>-12 Help!

Related Questions

What fraction of an hour is 46 minutes??

Answers

60mins per hour
46/60=23/30

A school soccer team has just purchased new uniforms. The team now has 2 different colors of shorts (white and red) and 3 different colors of shirts (white, red, and gold).

How many different uniform combinations are there? ...?

Answers

Basic combinations are calculated with
number of shorts * number of shirts = 2 * 3
so the answer will be 6.

Explain the correlation between the graph of a line, direction of the line and the positive or negative slope of the line.

Answers

Well if the slope is positive the graph of the line will go up. If the slope if negative the graph of the line will go down. Also, depending on the y-intercept the graph will start on a negative integer or a positive integer

solve for x enter your answer in interval notation using grouping symbols x²+2x<8

Answers

x^2 + 2x < 8 x^2 + 2x - 8 < 0 (x + 4)(x - 2) < 0 ,, {x + 4 < 0 and x - 2 > 0} or {x + 4 > 0 ,,and x - 2 < 0} ,, {x < -4 and x > 2} or {x > -4 and x < 2},, Discard x < -4 and x > 2 because it has no solutions, leaving just x > -4 and x < 2 ,, -4 < x < 2

Write a function rule for the area A of a triangle whose base, b, is 2 cm less than seven times the height, h. What is the area of the triangle when the height hits 16 cm.
A. 4h^2-5h;944cm^2
B. 4h-5/2; 29.5***********
C. 4h^3-5h/2; 427
D. 4h-5; 59cm

I think it is B

Answers

i hope this helps you

The dimensions of a smaller rectangle are 3 ft. by 9 ft. The dimensions of a larger rectangle are 5 ft. by 11 ft. Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle. Options are 11:9, 3:4, 4:3, and 5:3 ...?

Answers

perimeter of smaller rect = 2L + 2B = 2*3ft + 2*9ft = 2(3 + 9) ft perimeter of bigger rect = 2L + 2B = 2*5ft + 2*11ft = 2(5 + 11) ft perimeter of larger rect 2(3 + 9) ft 12 3 --------------------- = ----------- = ------ = ----- perimeter of smaller rect 2(5 + 11) ft 16 4 so their ratio is 3:4

Answer:

Option 3rd is correct

4: 3

Step-by-step explanation:

Perimeter(P) of rectangle is given by:

[tex]P =2(l+w)[/tex]

where, l is the length and w is the width of the rectangle respectively.

Given that:

The dimensions of a smaller rectangle are 3 ft. by 9 ft.

Perimeter of smaller rectangle= 2(3+9) =2(12) = 24 ft.

It is also given that: The dimensions of a larger rectangle are 5 ft. by 11 ft.

Perimeter of Larger rectangle = 2(5+11) =2(16) = 32 ft.

We have to find  the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.

[tex]\frac{\text{Perimeter of the larger rectangle}}{\text{Perimeter of the Smaller rectangle}}[/tex]

Substitute the given values we have;'

[tex]\frac{32}{24}=\frac{4}{3}[/tex]

Therefore,  the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle is, 4 : 3

When f is defined by
f(x) = sqrt(x) ,
find a so f'(a) is two times the value of f'(4).

Answers

After all calculations you will get this [tex] \frac{1}{2 \sqrt{vectora}} = \frac{1}{2} [/tex]. Then find a. a is the key and it's equals to 1. This is your answer.

What is the prime factorization of 19??

Answers

19 is already a prime number......so ur answer would be 19 or 19 x 1

The prime factorization of 19 is 19, as it is a prime number and can only be divided by 1 and itself.

To determine the prime factorization of a number, we identify all the prime numbers that multiply together to give the original number. In the case of 19, we need to check if it can be divided by any primes (like 2, 3, 5, 7, 11, 13, 17).

After testing, we find that 19 is only divisible by 1 and itself, making it a prime number. Therefore, the prime factorization of 19 is simply 19.

Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is π/ radians per second.

Answers

Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = [tex] \frac{3*r*pi}{2*105} [/tex]

v = r* pi/70

If we take that r = 1 answer is [tex] \pi /70[/tex]

Proof that x^y + y^x > 1 for all x,y > 0 ...?

Answers

To prove this inequality we need to consider three cases. We need to see that the equation is symmetric and that switching the variables x and y does not change the equation.

Case 1: x >= 1, y >= 1

It is obvious that

 x^y >= 1, y^x >= 1
 x^y + y^x >= 2 > 1
 x^y + y^x > 1

Case 2: x >= 1, 0 < y < 1

 Considering the following sub-cases:

  - x = 1, x^y = 1
  - x > 1,

    Let x = 1 + n, where n > 0

    x^y = (1 + n)^y = f_n(y)

    By Taylor Expansion of f_e(y) around y = 0,

    x^y = f_n(0) + f_n'(0)/1!*y + f_n''(0)/2!*y^2 + ...
        = 1 + ln(1 + n)/1!*y + ln(1 + n)^2/2!*y^2 + ...

    Since ln(1 + n) > 0,

    x^y > 1

  Thus, we can say that x^y >= 1, and since y^x > 0.

  x^y + y^x > 1

  By symmetry, 0 < x < 1, y >= 1, also yields the same.

Case 3: 0 < x, y < 1

  We can prove this case by fixing one variable at a time and by invoking symmetry to prove the relation.

  Fixing the variable y, we can set the expression as a function,

  f(x) = x^y + y^x
  f'(x) = y*x^(y-1) + y^x*ln y 
  For all x > 0 and y > 0, it is obvious that
  f'(x) > 0.

  Hence, the function f(x) is increasing and hence the function f(x) would be at its minimum when x -> 0+ (this means close to zero but always greater than zero). 

  lim x->0+ f(x) = 0^y + y^0 = 0 + 1 = 1

  Thus, this tells us that 

  f(x) > 1.

  Fixing variable y, by symmetry also yields the same result: f(x) > 1.

  Hence, when x and y are varying, f(x) > 1 must also hold true.
    Thus, x^y + y^x > 1.

We have exhausted all the possible cases and shown that the relation holds true for all cases. Therefore, 

  x^y + y^x > 1


----------------------------------------------------

I have to give credit to my colleague, Mikhael Glen Lataza for the wonderful solution.


I hope it has come to your help.

betty has a cow.the cow produces 5 liters of milk in a day. if the cows diet is improved the cow will produce 200% more milk.how much milk would the cow make in a day.

Answers

10 liters, google 5 liters times 200%... 
10 liters. I hope this really helps!

4x+5y=6 and 6x-7y=-20

Answers

I hope this helps you
Hello!!



If you are asking for how to make it into y=mx+b form:


4x + 5y = 6

5y / 5 = -4x+6/ 5

Answer: y= -4/5x + 6/5


6x - 7y = -20

-7y/-7 = -6x - 20/ -7


Answer: y= 6/7x +20/7




Hope this helps!!


Lamar bought 20 pounds of dog food for $4.99 for his dog, Buster. The next day, the shop down the street offered 50 pounds of the same brand of dog food for $12.50. Did Lamar get a better deal? ...?

Answers

To calculate what is better deal we need to calculate how much 1 pound of dog food costs at both shops.

First shop:
4.99/20 = 0.2495$/pound

Second shop:
12.50/50 = 0.25$/pound

This means that first shop had slightly better deal since at that place pound was a bit less expensive.

In triangle abc, sin a = 2425. which other expression has a value of 2425?

Answers

cos b, I think this should help...               

Expand and simplify 2 (x+7)+3(x+1)

Answers

I hope this helps you
(2x+14)+(3x+3)= (2x+3x)+(14+3)= 5x+17

Whut is 2 pus 2 i dount no

Answers

the answer to this is 4

Convert 0.84 into a simplified fraction

Answers

100÷84
Or
84 upon 100
Maybe the answer is correct

How many solutions does this linear system have?

y = x+ 2

6x – 4y = –10

one solution: (–0.6, –1.6)
one solution: (–0.6, 1.6)
no solution
infinite number of solutions

Answers

i hope this helps you


6x-4 (x+2)= -10x


6x-4x-8= -10


2x= 2


x= 1


y=1+2=3

The solution of a linear system of an equations is (-1, 1).

The given linear system of equations are y = x+ 2 and 6x – 4y = –10.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The system of linear equations can be solved as follows

x-y=-2 --------(1)

6x – 4y = –10 --------(2)

Multiply equation (1) by 4

That is, 4x - 4y= -8 --------(3)

Subtract equation (3) from the equation (2)

So, 6x-4y-(4x-4y)=-10-(-8)

2x=-2

⇒ x=-1

Put x=-1 in x-y=-2

Now, y=1

So, solution is (-1, 1)

Therefore, the solution of a linear system of an equations is (-1, 1).

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80 POINTS!!!

A line segment has endpoints at (4, –6) and (0, 2). What is the slope of the given line segment? What is the midpoint of the given line segment? What is the slope of the perpendicular bisector of the given line segment? What is the equation, in slope-intercept form, of the perpendicular bisector?

Answers

Answer:

1). Slope = (-2)

2). Midpoint = (2, -2)

3). Slope of the perpendicular bisector = (1/2)

4). Equation of perpendicular bisector will be x - 2y = 6

Step-by-step explanation:

A line segment has the endpoints at (4, -6) and (0, 2).

1). Then the slope of the given line segment will be = (y - y')/(x - x') = (2 + 6)/(0 - 4) = 8/(-4) = (-2)

2). Mid point of the line segment is given by [tex](\frac{x_{1}+x_{2}}{2}) , (\frac{y_{1}+y_{2}}{2})[/tex]

Therefore midpoints of the line segment will be [tex]\frac{4+0}{2},\frac{-6+2}{2}[/tex] = (2, -2)

3). Slope of the perpendicular bisector is represented by [tex]m_{1}.m_{2}=(-1)[/tex]

⇒ (-2)×m2 = (-1)

[tex]m_{2}=\frac{1}{2}[/tex]

4). Now we have to find the equation of perpendicular bisector passing through (2, -2) and slope (1/2).

Since standard equation of the line will be given as y = mx + c

[tex]y=\frac{1}{2}x+c[/tex] passes through (2, -2).

[tex](-2) = \frac{1}{2}(2) + c[/tex]

c = (-1) - 2 = -3

Finally the equation of perpendicular bisector will be

[tex]y=\frac{1}{2}x+(-3)[/tex]

⇒ 2y = x - 6

⇒ 2y - x = -6

x - 2y = 6

Answer: the answers are in the explanation, they are also in order

Step-by-step explanation:

-2

(2,-2)

1/2

y=(1/2)x - 3

What value(s) of x make the equation x2 - 18x + 81 = 0 true?

Answers

We can factorise this to get (x-9)(x-9). To find the value, each bracket needs to equal 0, so the value would be x=9

Answer:

9

Step-by-step explanation:

Find the equations of all lines tangent to y = 9–x^2 that pass through the point (1, 12). ...?

Answers

Final answer:

The equation of the line tangent to y = 9 - x^2 that passes through the point (1, 12) is y = -2x + 14.

Explanation:

To find the equations of all lines tangent to y = 9 - x^2 that pass through the point (1, 12), we need to find the slope of the tangent line at the point (1, 12) and use it to form the equation of the line.

First, find the derivative of y = 9 - x^2 to get dy/dx = -2x.Substitute x=1 into dy/dx = -2x to find the slope of the tangent line at (1,12). In this case, the slope is -2.Next, use the point-slope form of a line and the given point (1, 12) to write the equation of the tangent line:

y - y1 = m(x - x1)

y - 12 = -2(x - 1)

Rewrite the equation in slope-intercept form:

y = -2x + 14

Therefore, the equation of the line tangent to y = 9 - x^2 that passes through the point (1, 12) is y = -2x + 14.

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If you save two pennies on January 1, four pennies on January 2, six pennies on January 3, and continue this pattern for one year (not a leap year), what will be the value of your entire savings, in dollars, at the end of that one year? Express your answer as a decimal without commas.

...?

Answers

the answer is 
1J,  2J, 3J, ...............29D, 30D, 31D = 365 days
2     4     6 ........................................
 let be S  the value of entire savings
S= Sum 2K= 2 Sum K      = 2 [365(365+1) / 2], 
      1<K<365     1<K<365
because  Sum K = n(n+1) /2
                1<K<n

finally S= 133590 pennies

Answer:

1335.90


Step-by-step explanation:


if the tank is half full, approximately how many miles has troy driven since last filling up his tank

BTW troy truck has a 30 gallon gas tank and gets an average of 21 miles per gallon

ASAP plz I really need help

Answers

Answer: 315 Miles.

30 Gallon Tank on Half: 30 / 2 = 15.
21 miles per gallon: 21 x 15 = 315 Miles.

I hope this helps!

Answer:

Toy truck will drive 315 miles since last the tank was filled.

Step-by-step explanation:

BTW troy truck has tank of capacity = 30 gallons

Since the toy truck is half filled so gas in the tank = [tex]\frac{30}{2}[/tex]

                                                                                  = 15 gallons of gas

Average of the toy truck is given as = 21 miles per gallon

That means in 1 gallon truck travels = 21 miles

Therefore in 15 gallons of gas truck will travel = 21 × 15

                                                                             = 315 miles

Toy truck will drive 315 miles since last the tank was filled.

convert 5/8 to percent notation

Answers

Hi , the answer is 62.5 percent , because 5 divided by 8 equals to 0.625 , then we move the decimal two spaces to the right .

We can multiply 5/8 directly by 100 and then simplify the fraction into a decimal or first convert the fraction to a decimal and then multiply by 100.
5/8 = 0.625
0.625 x 100 = 62.5%

Fiona has to choose a bouquet for her wedding. The probability that she uses red roses is 98%, the probability that she uses orchids is 87%, and the probability that she uses Gerber daisies is 94%. Given the probability that she has both roses and orchids is 0.87 and the probability that she has both Gerber daisies and roses is 0.97 what is the probability that her bouquet contains roses or Gerber daisies?

Answers

the answer would be b.) .84

how many times does 28 go into 126

Answers

In order to know that, you need to divide 28 from 126
It would be:126/28 = 4.5

So, your final answer is 4.5

Hope this helps!

∠A∠A and ​ ∠B∠B ​ are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?

Answers

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or  5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

let f=cos^2x and g=sin^2x which of the following lie in the space spanned by f and g
a)cos2x
b)3+x^2
c)1
d)sinx
e)0 ...?

Answers

I'm pretty sure that these are lying in the space spanned by f and g: a)cos2x, e)0.  Use common formulas to check it.

Choose two axioms that allow 6 + (x + 5) to be written x + 11.
A) commutative - addition
B) distributive
C) associative - multiplication
D) symmetric
E) commutative - multiplication
F) associative - addition
G) identity - addition

Answers

associative means that you can move the parenthesis around the problem and still get the same answer. like (4+2)+3=4+(2+3)
first & sixth are the true

Basic number properties:

The Distributive Property: [tex]a\cdot (b+c)=a\cdot b+a\cdot c;[/tex]The Associative Property for addition: [tex]a+(b+c)=(a+b)+c;[/tex]The Associative Property for multiplication: [tex]a\cdot (b\cdot c)=(a\cdot b)\cdot c;[/tex]The Commutative Property for addition: [tex]a+b=b+a;[/tex]The Commutative Property for multiplication: [tex]a\cdot b=b\cdot a;[/tex]Identity Property : Any number add to the zero the answer is the number itself;The symmetric property states that if one number is equal to a second number, then the second number is equal to the first number.

For the expression 6 + (x + 5):

use The Commutative Property for addition - 6+(x+5)=(x+5)+6;use The Associative Property for addition - (x+5)+6=x+(5+6)=x+11.

One's intelligence quotient, or IQ, varies directly as a person's mental age and inversely as that person's chronological age. A person with the mental age of 25 and a chronological age of 20 has an IQ of 125. What is the chronological age of a person with a mental age of 40 and an IQ of 80?

Answers

Final answer:

The chronological age of a person with a mental age of 40 and an IQ of 80 is calculated to be 50 years by using the direct and inverse proportionality of the IQ, Mental Age, and Chronological Age.

Explanation:

The subject of your question is related to a mathematical concept known as Direct and Inverse Proportion. In this scenario, the IQ is directly proportional to the Mental Age and inversely proportional to the Chronological Age. Therefore, the formula is given as: IQ = (Mental Age / Chronological Age) * 100.

From the first example that indicates a person with the mental age of 25 and a chronological age of 20 has an IQ of 125, we can determine the proportionality constant as follows: 125 = (25 / 20 ) * 100.

Now, to find out the chronological age of a person with a mental age of 40 and an IQ of 80, we use the same proportionality and solve the equation for chronological age: 80 = (40 / Chronological Age) * 100. Solving the equation, the Chronological Age equates to 50 years.

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Final answer:

To find the chronological age of a person with a mental age of 40 and an IQ of 80, we can use the fact that IQ varies directly with mental age and inversely with chronological age. The specific chronological age depends on the value of the constant of variation, k.

Explanation:

To find the chronological age of a person with a mental age of 40 and an IQ of 80, we can use the fact that IQ varies directly with mental age and inversely with chronological age. Let's denote the chronological age as x. We can set up the equation as follows:

IQ = (k * mental age) / chronological age

where k is the constant of variation.

Given that the mental age is 40 and the IQ is 80, we can plug in these values into the equation:

80 = (k * 40) / x

To solve for x, we can cross-multiply and then divide both sides by 80:

80x = k * 40

x = (k * 40) / 80

Since we don't have the value of k, we can't determine the specific value of x. However, we can determine the relationship between x and the mental age:

x = 40 / k

Therefore, the chronological age of a person with a mental age of 40 and an IQ of 80 depends on the value of the constant of variation, k.

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