4x-12y= 13
32y+14x=13

Answers

Answer 1

Answer:

(143/74, -65/148)

Step-by-step explanation:

We have the equations:

4x - 12y = 13

14x + 32y = 13

Let's use elimination, so multiply the first equation by 8 and the second equation by 3:

8 * (4x - 12y = 13)  ⇒  32x - 96y = 104

3 * (14x + 32y = 13)  ⇒  42x + 96y = 39

Add those two equations:

    32x - 96y = 104

+   42x + 96y = 39

________________

    74x  +  0y  =  143

Divide both sides by 74:

x = 143/74

Plug this into an equation to find y:

4x - 12y = 13

4 * (143/74) - 12y = 13

12y = 572/74 - 13 = -390/74

y = -65/148

The answer is (143/74, -65/148).

Answer 2

Answer:

x = 143/74

y = -65/148

Step-by-step explanation:

4x-12y= 13

4x = 13 + 12y

x = 13/4 + 3y

32y+14x=13

32y + 14(13/4 + 3y) = 13

32y + 91/2 + 42y = 13

74y = 13 - 91/2

74y = -65/2

y = -65/148

x = 13/4 + 3(-65/148)

x = 143/74

x = 143/74

y = -65/148


Related Questions

What are the domain and range of the function f(x)= 4 - 2x^2-4

A.) domain: all real numbers
range: all real numbers greater than or equal to –5

B.) domain: all real numbers
range: all real numbers greater than or equal to –4

C.) domain: all real numbers between –2.5 and 2.5
range: all real numbers

D.) domain: all real numbers between –2.5 and 2.5
range: all real numbers greater than or equal to –5

Answers

Answer:

If  you meant to type  f(x) =  (4 - 2x)^2 - 4,  then choose choice B.) domain: all real numbers

range: all real numbers greater than or equal to –4

----

With your typo... the choices narrow down to choice B and A.  .  The domain is definitely all real numbers for a quadratic function.

Step-by-step explanation:

We have a quadratic function  

f(x) =4  -2*x^2  - 4

I assume there is a typo here.

check   y >= -5  and y >= -4...

what if   f(x) = (4 - 2x)^2  - 4

then  f(x) = 4*(x - 2)^2 - 4   with vertex at  (2, -4)  which makes sense with the answer choice B.)

f(x) = 4*(xx - 4x + 4)  - 4  =  4xx - 16x + 16 -4  = 4xx - 16x +12 ...

The domain of the function is all real numbers, and the range is all real numbers greater than or equal to -4.

The correct answer is option B.

 

Certainly, let's discuss the domain and range of the function f(x) = 4 - 2x^2 - 4 :

Domain (Possible x-values):

The domain of a function represents all the possible input values (x-values) for which the function is defined. In this case, f(x) is a polynomial function, and polynomial functions are defined for all real numbers. Therefore, the domain is all real numbers. So, options (A) and (B) are incorrect because they limit the domain.

Range (Possible y-values):

To determine the range, we need to analyze how the function behaves. The function f(x) = 4 - 2x^2 - 4 is a quadratic function with a leading coefficient of -2. It opens downward, and its vertex is at the point (0, 0). As x moves away from the vertex in either direction, the function value decreases without bound. Therefore, the range is all real numbers less than or equal to -4 because the function never goes above -4. So, options (C) and (D) are incorrect because they indicate that the range includes positive values.

Based on the analysis, the correct answer is:

B.) domain: all real numbers

range: all real numbers greater than or equal to -4

For more such information on: domain

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how do I solve this question??

Answers

y = 30e is the equation (no y-intercept)

Therefore, plugging in 4 and 6 enables us to fill in the chart.

4 x 30 = 120

6 x 30 = 180

4,120

6,180

What the one other person said

please help its math

Answers

Let the length of the radius = r feet.

Diameter = 2r = 2 x 6.8 = 13.6 feet

Circumference = 2[tex]\pi[/tex]r = 2 x 3.14 x 6.8 = 42.704 feet = approx. 42.7 feet

The diameter is 13.60 feet.

The circumstance is approximately 42.70 feet.

Look at the attached picture

Hope it will help you

Find the missing side. Round to the nearest tenth.

A) 25.7
B) 15.5
C) 12.6
D) 31.8

Answers

Answer:

i think 40

Step-by-step explanation:

Answer:

C. 12.6

Step-by-step explanation:

That is the answer when correctly put into a calculator.

what is first even number that is a multiple of 5 and 7?

Answers

Answer:

I think its 35

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The least common factor of 5 and 7 is 35. We multiply it by two because it is not even.

Tony needs 16 inch-long pieces of gold chain to
make each of 3 necklaces. He has a piece of chain
that is feet long. How much chain will he
have left after making the necklaces?
O 6 inches
O 12 inches
18 inches
24 inches​

Answers

Answer:

Option (1). 6 inches

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces ?

Tony has a piece of chain = 4.5 feet long

                                           ≈ 4.5 × 12 inches

                                           ≈ 54 inches

Number of necklaces Tony wants to make = 3

Length of every piece of gold chain required for one necklace = 16 inches

Total length of gold chain required for 3 necklaces = 3 × 16 inches

                                                                                     = 48 inches

Length of remaining chain = 54 - 48 = 6 inches

Therefore, Option (1) will be the answer.

How much money should be deposited today in an account that earns 6% compounded semiannually so that it will accumulate to $14,000 in three​ years?

Answers

Answer:

The amount of money to be deposited today is $11,725

Step-by-step explanation:

In this question , we are concerned with calculating the amount of money that should be deposited presently to have $14,000 in three years.

To get this, we have to use the compound interest formula

A = P( 1+ r/n)^nt

where A is the amount to be earned after the end of the compounding period which is $14,000 according to this question

P is the initial amount to be deposited which is what we are looking for

r is the rate of compounding which is 6% or simply 6/100 = 0.06

n is the number of times interest is compounded yearly which is semiannually according to the question and this means 2

t is the number of years which is 3 according to the question

Now, plugging all these values, we have;

14,000 = P( 1 + 0.06/2)^(3 * 2)

14,000 = P(1+0.03)^6

14,000 = P(1.03)^6

14,000 = 1.194P

P = 14,000/1.194

P = 11,724.77 which is approximately $11,725

What is the solution to this equation?
4x - 6 + 2 x = 18

Answers

Answer:  

x = 4

Step-by-step explanation:

4x + 2x = 18 + 6          (6 goes to the other side and changes its sign)

6x = 24

x = 4                       (divide 24 by 6)

Answer:

x = 4

Step-by-step explanation:

4x - 6 + 2x = 18

4x + 2x = 18 + 6                 collect like terms

6x = 24                              divide both sides by the coefficient of x

x = 4

can u round this number?
2.29885057471

Answers

Answer:

no

Step-by-step explanation:

you can round it to 2.3 but depending on what place you are asked to round to it is still just 2

no you cannot. since the digits after the decimal keep going, it would be hard to decipher what the last number would be. it would most likely be rounded to 2.3

alice is playing checkers against a computer and has won 8 games out of the 12 she’s played so far

Answers

I do not know what kind of answer you may want but here is a few you might be asking for

(1).   Every 12 games Alice wins 8 games and looses 4. ( 8/12 )

(2). Alice wins 2/3 games against a computer. ( 8/12 )

(3). Alice wins 66% of games she plays against a computer.

There you go.

Alice's win ratio for playing checkers against a computer is 8 wins out of 12 games, which simplifies to 2/3.

Alice has played 12 checker games against a computer and has won 8 of them. To understand her win ratio, we simply divide the number of games won by the total number of games played. This gives us a ratio or fraction of 8/12, which can also be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4, resulting in 2/3. Therefore, Alice has a winning ratio of 2 wins for every 3 games played. Understanding win ratios is an essential part of probability and statistics, a key area within mathematics dealing with the analysis of numerical data.

Can someone help please

Answers

Answer:

A = -16

B = 32

Step-by-step explanation:

There are 6 lines between A and B

48 ÷ 6 = 8 per line

A is two lines left of zero

A = 0 - 8 - 8 = - 16

B has 4 lines right of zero

B = 0 + 8 + 8 + 8 + 8 = 32

if g =-3, h =-4, and j = -4

what's the answer to this?
2gh + j

Answers

Answer:

20

Step-by-step explanation:

Substitute all the known values into the expression.

2 (-3) (-4) + (-4)

Then solve using pemdas

24 + (-4)

= 20

In a race in which eleven automobiles are entered and there are no ties, in how many ways can the first three finishers come in?

Answers

Answer:

990 ways

Step-by-step explanation:

The total number of automobiles we have is 11.

Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)

For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)

For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)

Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways

What kind of symmetry does the given isosceles trapezoidal prism have? The prism has both rotational and reflectional symmetry. The prism only has rotational symmetry. The prism has only reflectional symmetry. The prism has no symmetry.

Answers

Answer:the prism has both rotational and reflections symmetry.

Step-by-step explanation:

which type of event is thought to have caused most species on earth to have become extinct?
A) volcanic eruptions
B) human activity
C) air pollution
D) climate change

Answers

Answer:

D because climate change can kill people

Answer:

I agree with lazarbeam profile man

Step-by-step explanation:

reeeeeeeeeeEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The volume of a sphere is 4,186.67 cm cubed. To the nearest centimeter​, what is the radius of the​ sphere? Use 3.14 for π.

A.8
B.5
C.10

Answers

4186.67 / 3.14 / 4/3 = 111
Cube root 111 is about 5
B. 5
Final answer:

Using the volume formula for a sphere (V = (4/3)πr3), the radius for the given volume of 4,186.67 cm3 is calculated to be 10 cm, making option C correct.

Explanation:

The volume of a sphere is given by the formula V = (4/3)πr3. To find the radius of a sphere with a volume of 4,186.67 cm3, we rearrange the formula to solve for r:

r = ∛((3V) / (4π))

Substituting the given volume and 3.14 for π:

r = ∛[(3×4,186.67 cm3) / (4×3.14)]

r = ∛[(12,560.01 cm3) / (12.56)]

r = ∛(1,000)

r = 10 cm

So, to the nearest centimeter, the radius of the sphere is 10 centimeters, making option C the correct answer.

Find (2x^2 + 2) + (x^2-4) – (3x^2 + 1)​

Answers

Step-by-step explanation:

hope this is right I got this answer on one my fav website tiger

Answer:

[tex] - 3[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 2 + ( {x}^{2} - 4) - (3 {x}^{2} + 1) \\ 2 {x}^{2} + 2 + {x}^{2} - 4 - 3 {x}^{2} - 1 \\ 2 {x}^{2} + {x}^{2} - 3 {x}^{2} + 2 - 4 - 1 \\ = - 3[/tex]

2. If one angle of a parallelogram is 70°, find
the degrees in the remaining 3 angles.

Answers

Answer:

The remaining three angles would be 70°, 110°, and 110°.

Step-by-step explanation:

A parallelogram has a measurement of 360° with two pairs of congruent opposite angles/sides.

steps to solve -3x-2=13

Answers

Answer:

X=-5

Step-by-step explanation:

1.) Add 2 to 13, then you have -3x=15

2.) Divide 15 by -3 to get the solution. x=-5

if y varies directly as x and y = 34 when x = 8, determine an equation to represent this relation.

Answers

Answer:

y = 4.25x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 34 when x = 8, thus

34 = 8k ( divide both sides by 8 )

k = [tex]\frac{34}{8}[/tex] = 4.25

y = 4.25x ← equation of variation

What is the distance between (-6,8) and (-3,9)?

Answers

Answer:

The answer is C.

Step-by-step explanation:

please help mehbraaa

Answers

Answer:

 (a) Choice 1, 2

(b)  Choice 3, 4

Step-by-step explanation:

The negative can be out front, on the top or on the bottom

-2/5  = -  2/5 or 2 / -5

The negative can be out front, on the top or on the bottom

-  4/7  = -4/ -7 or -4/7

Step-by-step explanation:

Step 1:  Find the correct options for (a)

The only correct choices for (a) is option A and B.  Since there is only one negative sign in the given fraction, the other fractions must only have one also.  Therefore, the correct options are A and B.

Step 2:  Find the correct options for (b)

The only correct choices for (B) is option C and D.  Since there is only one negative sign in the given fraction, the other fractions must only have one also.  Therefore, the correct options are C and D.

Antonio was visiting three cities that lie on a coordinate grid at A(4, 5), B(-1, 3) and C(-3, -4). If he visited the cities and ended up where he started, how many miles did he travel?

Answers

Answer:

24.065 miles

Step-by-step explanation:

Antonio visited three cities on the coordinate grid at A(4, 5), B(-1, 3) and C(-3, -4), he visited the cities and ended up where he started. That means he moved from point A to B to C and back to A.

The distance (d) between two points (x₁, y₁) and (x₂, y₂) can be given as:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore distance between AB = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-1-4)^2+(3-5)^2}=\sqrt{25+4}=5.385[/tex]

distance between BC = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-3-(-1))^2+(-4-3)^2}=\sqrt{4+49}=7.28[/tex]

distance between CA = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-(-3))^2+(5-(-4))^2}=\sqrt{49+81}=11.4[/tex]

The total distance = AB + BC + AC = 5.385 + 7.28 + 11.4 = 24.065 miles

24 divided by 10 to the power of 4

Answers

Answer: 0.0024

Step-by-step explanation: To get the answer, all we have to do is...

24 ÷ 10 ⁴ = 0.0024

We have to push 24 to the right 4 times...

24 ⇒ 2.4 ⇒ 0.24 ⇒ 0.024 ⇒ 0.0024

I hope this helps!

Martha earned $180 during the summer doing chores. She bought 3 books worth $14 each using her chore money. How much money was left after she bought the books?
Thx for helping :P

Answers

Answer:

$138

Step-by-step explanation:

We can first turn the words into a mathematical equation by substituting words with the information we have:

Total earning - ( Price of three books)

$180 - (Price of one book x 3)

$180 - ($14 x 3)

Finally, after we have created the mathematical equation, we solve it!

$180 - ($14 x 3)

$180 - $42

$138

The center of a circle is located at (3, -4). The radius of the circle is 6.

What is the equation of the circle in general form?

x2 + y2 + 6x − 8y − 11 = 0
x2 + y2 − 6x + 8y − 11 = 0
x2 + y2 + 6x − 8y + 19 = 0

Answers

Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the center and r is the radius. The general form is simply the expanded form of the standard. Let's first write the standard form.

Here, the center is (3, -4) and the radius is r = 6, so:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x-3)^2+(y+4)^2=6^2[/tex]

Now expand:

x² - 6x + 9 + y² + 8y + 16 = 36

x² + y² - 6x + 8y - 11 = 0

The answer is B.

Answer:

x² + y² - 6x + 8y - 11 = 0

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(x - 3)² + (y + 4)² = 6²

x² - 6x + 9 + y² + 8y + 16 = 36

x² + y² - 6x + 8y - 11 = 0

Sam cleaned of his house in 50 minutes. How many hours will it take him to clean his entire house?

Answers

Answer:

20min

Step-by-step explanation:

They cleaned how much of the house in 50 minutes? If you tell me this, I can give you an answer.

Work out the surface area of this solid prism.

Answers

The surface area of the solid rectangular prism is 408 square meters.

To find the surface area of a solid rectangular prism, you can use the formula:

Surface Area = 2lw + 2lh + 2wh

Where:

l = length

w = width

h = height

In your case, the dimensions of the prism are:

Length (l) = 9 meters

Width (w) = 10 meters

Height (h) = 6 meters

Now, plug these values into the formula:

Surface Area = 2(9m)(10m) + 2(9m)(6m) + 2(10m)(6m)

Surface Area = 180m^2 + 108m^2 + 120m^2

Now, add these areas together:

Surface Area = 180m^2 + 108m^2 + 120m^2 = 408m^2

So, the surface area of the solid rectangular prism is 408 square meters.

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I’m too sure how to do this?

Answers

Answer:

x= -12/5 y+2

y=3/2y+-35/2x=

Step-by-step explanation:

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

Answers

Answer:

113.1

Step-by-step explanation:

V=4/3π(r)^3

V=4/3π(3)^3

V=4/3(27)π

V=36π ---> 113.1

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