A consistent and dependent system is formed by the equations y = 3x + 9 and
6x – 2y = A, where A is a real number. Find the value of A.
-

Answers

Answer 1

Answer:

A = -18.

Step-by-step explanation:

We are given that y = 3x +9.

From this, we gather 3x - y = -9.

We then multiply both sides by 2 to get 6x – 2y = -18. Therefore, A = -18.


Related Questions

Each 14 inch on a map represents an actual length of 18 of a mile.

What length on the map represents 1 mile?


132 inch

38 inches

2 inches

4 inches

Answers

Answer:

38 inch

Step-by-step explanation:

Tomas used 3 and one-third cups of flour and now has 1 and two-thirds cups left. Which equation can he use to find f, the number of cups of flour he had to begin with?
f + 3 and one-third = 1 and two-thirds
f minus 3 and one-third = 1 and two-thirds
3 and one-third f = 1 and two-thirds
f divided by 3 and one-third = 1 and two-thirds

Answers

Answer : B

Explanation :

f - 3 and one third = 1 and two thirds goes with the word problem.

Answer: B

f - 3 and one third = 1 and two thirds

Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0, 0).

Answers

Answer:

[tex]\frac{x^2}{25} + \frac{y^2}{16} = 1[/tex]

Step-by-step explanation:

Great, so the question already tells you that you're using the standard form of an ellipse. All you gotta do is apply your knowledge of the characteristics of an ellipse graph.

The standard form of an ellipse is:

[tex]1 = \frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}[/tex]

[tex]h[/tex] and [tex]k[/tex] are the offset, or the coordinates of the center of the ellipse. The center of the ellipse will always be on (h,k). Now because the question says the center is (0,0), we can make h and k equal to 0 in the equation giving:

[tex]1 = \frac{x^2}{a^2} + \frac{y^2}{b^2}[/tex].

Now, the height of the ellipse will always be equal to 2a. The width will be equal to 2b.

Since we are told what the height and width should be, we can find the a and b values quite easily using algebra.

So first, height:

[tex]10 = 2a\\5 = a[/tex]

Now width:

[tex]8 = 2b\\4 = b[/tex]

Subbing for a and b in the equation give you:

[tex]1 = \frac{x^2}{5^2} + \frac{y^2}{4^2}\\=\\1 = \frac{x^2}{25} + \frac{y^2}{16}[/tex]

529 as a desmil number

Answers

Answer:

529.000

Step-by-step explanation:

A decimal number is a number whose whole number and fraction part are separated by a decimal point.

529 represented as a decimal is 529.000

Also, you can add as many zeros as you want behind the decimal point.

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Unit 10: Circles Homework 4: Inscribed Angles

Find each angle measure

Answers

Answer:

  6. ∠GHJ ≅ ∠GIJ = 73°

  10.  ∠Q = 89°, ∠R = 123°, ∠S = 91°

Step-by-step explanation:

The relations applicable to these problems are ...

the measure of an inscribed angle is half the measure of the intercepted arcthe sum of the arc measures in a circle is 360°

Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.

__

6.

The missing arc measure GJ is ...

  68° +31° +115° +GJ = 360°

  GJ = 360° -214° = 146°

Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...

  ∠GHJ ≅ ∠GIJ = 146°/2 = 73°

__

8.

∠Q intercepts arc PSR, which is shown as ...

  arc PSR = arc PS +arc SR

  arc PSR = 137° +41° = 178°

The measure of angle Q is half this:

  ∠Q = (1/2)×arc PSR = 178°/2 = 89°

__

∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:

  ∠R = 180° -57° = 123°

__

∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:

  ∠S = 180° -89° = 91°

F(x)=4x^2 and g(x)=x+1, find (f x g)(x)

Answers

Answer:

option b

Step-by-step explanation:

It is option b

Your answer is 4(x+1)²

Answer:

B

Step-by-step explanation:

Given functions:

[tex]f(x)=4x^2[/tex][tex]g(x)=x+1[/tex]

[tex](f \circ g)(x) & =f[g(x)][/tex]

This means substitute the x of f(x) with the function g(x).

[tex]\implies f[g(x)]=4(x+1)^2[/tex]

help pls i really need help

Answers

Answer:

See below

Step-by-step explanation:

We see the segment of length of 3 is divided by 3 and each of units divided by 4.

The number of purple rectangles is 12.

This can be expressed as:

Number of fourths in 3, this is same as 123 ÷ 1/4 = 12, same as above

The other options are not matching this model. They all end up with part of the line segment.

Three of them result in 3/4 and one results in 4.

Adult tickets for an art exhibit cost $15. Tickets for students cost $8.
Martin has $180 to buy 2 adult tickets and 20 student tickets.
Martin says he has enough money to buy all of the tickets because $8 × 20 = $160 and $160 is less than $180.

Critique Martin's reasoning. Which statements are correct? Choose all that apply.

A.
Martin correctly found the total cost of the tickets.

B.
Martin did not include the cost of the adult tickets.

C.
The cost of the two adult tickets is $15.

D.
Martin correctly concludes that he has enough money to buy all of the tickets.

E.
The total cost is $190, so Martin does not have enough money.

Answers

Answer: A and D are TURE statements.

Answer:

The correct answers are B & E

Step-by-step explanation:

The cost of adult tickets: 15$ * 2= 30$

The cost of student tickets: 8$ * 20= 160$

=> All the tickets cost 30$ + 160$= 190$

=> Martin still needs 10$ more to buy all of the tickets

Which expression is equivalent to 4.x? - 16?
O A. x² – 12
.
ОВ.
(2x + 4)(2x - 4)
Ос.
2x + 2x – 8 - 8
O D.
(2x - 4)(2x - 4)

Answers

Answer:    A

Step-by-step explanation:

The measure of an angle is 74.4°. What is the measure of its complementary angle?

Answers

Answer:

15.6

Step-by-step explanation:

complementary angles sum up to 90

90-74.4=15.6

therefore the measure of it's complementary angle is 15.6

Write this ratio as a fraction in simplest form without any units six weeks to 18 days

Answers

Answer:

  7/3

Step-by-step explanation:

To write the ratio with no units. we need to have both parts of the ratio in the same units. That way the units cancel.

__

  6 weeks : 18 days = (6×7) days : (6×3) days = 7 : 3

The ratio as a fraction is ...

  (6 weeks)/(18 days) = 7/3

Is the table linear or exponential?

Answers

Answer:

this table is linear

Step-by-step explanation:

there is a difference of 4 each time

Answer:

linear

Step-by-step explanation:

the difference in x and y values is constant

f(1)=15
f(n)=f(n-1)·n
f(2)=?

Answers

Answer:

is f(2)=13 this is the answer because You have to división ir multiplicar ir

Answer:

f(2)=30

Step-by-step explanation:

Khan <3

trigonometric equations

2sin(theta) + 3 = 4

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) + 3 = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 4 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:\sin(x) = \frac{1}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 30 \degree \: \: or \: \: \frac{\pi}{6} \: rad[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

The volume of a sphere whose diameter is 18 centimeters is _ cubic centimeters. If it’s diameter we’re reduced by half, it’s volume would be _ of its original volume

Answers

Answer:

First Part

Given that

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

We have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{Diameter}{2})^{3} = \frac{4}{3} \pi 9^{3} = 972\pi cm^{3} \approx 3053.63 cm^{3}[/tex]

Second Part

Given that

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

If the Diameter were reduced by half we have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{r}{2}) ^{3} = \frac{\frac{4}{3} \pi r^{3}}{8}[/tex]

This shows that the volume would be [tex]\frac{1}{8}[/tex] of its original volume

Step-by-step explanation:

First Part

Gather Information

[tex]Diameter = 18cm[/tex]

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

Calculate Radius from Diameter

[tex]Radius = \frac{Diameter}{2} = \frac{18}{2} = 9[/tex]

Use the Radius on the Volume formula

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 9^{3}[/tex]

Before starting any calculation, we try to simplify everything we can by expanding the exponent and then factoring one of the 9s

[tex]Volume = \frac{4}{3} \pi 9^{3} = \frac{4}{3} \pi 9 * 9 * 9 = \frac{4}{3} \pi 9 * 9 * 3 * 3[/tex]

We can see now that one of the 3s can be already divided by the 3 in the denominator

[tex]Volume = \frac{4}{3} \pi 9 * 9 * 3 * 3 = 4 \pi 9 * 9 * 3[/tex]

Finally, since we can't simplify anymore we just calculate it's volume

[tex]Volume = 4 \pi 9 * 9 * 3 = 12 \pi * 9 * 9 = 12 * 81 \pi = 972 \pi cm^{3}[/tex]

[tex]Volume \approx 3053.63 cm^{3}[/tex]

Second Part

Understanding how the Diameter reduced by half would change the Radius

[tex]Radius =\frac{Diameter}{2}\\\\If \\\\Diameter = \frac{Diameter}{2}\\\\Then\\\\Radius = \frac{\frac{Diameter}{2} }{2} = \frac{\frac{Diameter}{2}}{\frac{2}{1}} = \frac{Diameter}{2} * \frac{1}{2} = \frac{Diameter}{4}[/tex]

Understanding how the Radius now changes the Volume

[tex]Volume = \frac{4}{3}\pi r^{3}[/tex]

With the original Diameter, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{2}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{2^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{2 * 2 * 2} = \frac{4}{3}\pi \frac{Diameter^{3}}{8}\\\\[/tex]

If the Diameter were reduced by half, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{4}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{4^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 4 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 2 * 2 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{8 * 8} = \frac{\frac{4}{3}\pi\frac{Diameter^{3}}{8}}{8}[/tex]

But we can see that the numerator is exactly the original Volume!

This shows us that the Volume would be  [tex]\frac{1}{8}[/tex] of the original Volume if the Diameter were reduced by half.

If the circle has a diameter of 6 feet about how long is the chalk outline

Answers

Answer:

Find the circumference,

C = 2πr

Where 'π' is pi (3.14 or 22/70, and 'r' is the radius.

To find the radius of a diameter, you must the half of the diameter:

Diameter/2 = radius

6/2 = 3 is the radius.

Plug this into our formula;

C = 2πr

C = 2 x 3.14 x 3

C = 6.28 x 3

C = 18.84 feet.

SECTION (A) (Answer ALL questions) a) Iff:R → R is defined by f(x) = x2 +3, find the function g such that (fog)(x) =9x2 – 12x+7.​

Answers

Answer:

g(x)=3x--2

Step-by-step explanation:

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Find the value of x. 50 degrees 75 degrees

Answers

Answer:

The angles measure for x is.... 58 Degrees

Step-by-step explanation:

Something you have to remember with dealing with Triangles is that the three angles will always add up to 180 degrees. so if you have two of the angle already then you can solve for the 3rd one all you have to do is...

add both of the known angles

50 + 75 = 125

Now subtract 180 by 125

180 -125 = 58

Now you have your answer

58 Degrees!!!

A car is on a Ferris wheel with a radius of 20 ft. To the nearest foot, how far does the car travel over an angle of
π
3
radians?

Answers

The car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet.

In order to determine the distance that the car has travelled, we will use the formula for calculating the circumference of a circle.

How to calculate Circumference of a circle

C = 2πr

where

r = radius

Therefore,

r is the radius of the fairy wheel

r = 20 ft

C = 2 × 3.14 × 20

C = 40 × 3.14

C = 125.6 ft

This shows that the car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet

learn more on circumference here: https://brainly.com/question/23385261

An artist has a block of wood that weighs 62.7 ounces. She wants to carve it into a wooden bear to enter in a contest. The rules allow sculptures that weigh up to 45 ounces. Complete and solve an equation to find out how much wood she needs to remove from the block to reach the weight limit.

Answers

Answer:

17.7

Step-by-step explanation:

62.7-45=

17.7

yeah sculpting bears are hard

Suppose a = 16 and b = 20. what is c

Answers

It is c the top guy is right

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3/4x+1/3=1/2x+5
2
3
6
12

Answers

Answer:

12 because it is a common factor of the denominators

Answer:

178

Step-by-step explanation:

En un estadio 6/8 de los asistentes son mayores edad y de estos 2/4 son mujeres ¿que fraccion de los asistentes mayores de edad son mujeres?

Answers

Answer: 3/8

Step-by-step explanation: 6/8 x 2/4 = 3/8

The fraction of attendees of legal age who are women are 3/8

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have in a stadium, 6/8 of the attendees are older and of these 2/4 are women.

The fraction of attendees of legal age who are women are -

2/4 of 6/8

2/4 x 6/8

12/32

3/8

Therefore, the fraction of attendees of legal age who are women are 3/8

To solve more questions on equation modelling, visit the link below-

brainly.com/question/9144182

#SPJ2

[

English translation of question -

In a stadium, 6/8 of the attendees are older and of these 2/4 are women, what fraction of the attendees of legal age are women?

Spanish translation of answer -

Tenemos en un estadio, 6/8 de los asistentes son mayores y de estos 2/4 son mujeres.

La fracción de asistentes mayores de edad que son mujeres son:

2/4 de 6/8

2/4 x 6/8

32/12

3/8

Por tanto, la fracción de asistentes mayores de edad que son mujeres son 3/8

]

What are the x-intercepts of this conic section?



no x-intercepts

(0, −3) and (0, 3)

(−5, 0) and (5, 0)

(−3, 0) and (3, 0)

Answers

Answer:

D. (-3, 0) (3, 0)

Step-by-step explanation:

An x-intercept is means when the line/shape crosses the x axis, or when y=0

So in this case, we can see that the shape crosses the x axis when

x = -3 and 3

So to put it in coordinate form (x, y)

It is: (-3, 0) and (3, 0)

(Whenever it crosses the x-axis, the y coordinate will always be 0)

3w-v4w3 I just need the answer please

Answers

Answer:

7(3/bc)c

Step-by-step explanation:

3/bc+c+7

(3/bc)c+7

7(3/bc)c

A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price,p, it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $11, while 2000 shirts can be sold at a price of $2. Give a linear equation in the form p mn + b that gives the price p they can charge for n shirts. Answer: p = Round the value of your slope to three decimal places. Be careful to use the proper variable and use the Preview button to check your syntax before you submit your answer.​

Answers

The required  linear equation in the form p = mn + b is y = -0.009n + 20

Linear form of a function

The formula for calculating the linear form of a function is expressed as:

y = mx + b

From the given question

n is the number of shirts p is the price

The price and number of shirts can be written in the form (n, p)

The two coordinates required are (1000, 11) and (2000, 2)

Slope  = 2-11/2000-1000
Slope = -9/1000
Slope = -0.009

For the intercept "b"

2 = -0.009(2000) + b

b = 20

The required  linear equation in the form p = mn + b is y = -0.009n + 20

Learn more on linear function here: https://brainly.com/question/15602982

Find the area of the triangle.

Answers

Answer:

14 m²

Step-by-step explanation:

14m² is ur answer

If u need solution do let me know in the comments

Determine f”(1) for the function f(x)=(3x^2-5x^2)^2.

Answers

Answer: 48

Step-by-step explanation:

If the whale drawing is 5 cm long, find the scale for the drawing.

Answers

Answer:

Scale (and/or) Scale Factor = 91.44

Step-by-step explanation:

First convert 15ft to cm

15ft = 457.2cm

Now divide the real whale size by the drawing

457.2 / 5 = 91.44

So the scale is 91.44

The whale is 91.44 times bigger than the drawing

Could anyone help me on this?

Answers

Answer:

117

Step-by-step explanation:

we should subtract 63 from 180

so 180 - 63 = 117°

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