Solve each of the following equations. Show its solution set on a number line. Check your answers. 3(x-2)=12
PLS HELP WILL GIVE BRAINLIEST

Answer:

The prediction should be 5 via interpolation.

Step-by-step explanation:

Based on the values you have, the linear equation is f(x)=x-1. So replace x with the number you're looking for (6).

In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information. Interpolation is an estimation of a value within two known values in a sequence of values.

The Schwarzschild radius of the black hole depends on its mass

The Schwarzschild radius of this supermassive black holeis 0.091 AU

The Schwarzschild radius (r) is calculated using:

[tex]r_s = \frac{2GM}{c^2}[/tex]

Where:

G =  Gravitational constant = 6.67408 × 10-11 m3 kg-1 s-2

M = Mass of the object = 4.6 x 10^6 solar masses

c = Speed of light = 299792458 m / s

Express the mass in Kg

M = 4.6 x 10^6 * 9.2 * 10^18 = 9.15 * 10^36 kg

Substitute the above values in the equation

[tex]r_s = \frac{2 * 6.67408 * 10^{-11} * 9.15 * 10^36}{299792458 ^2}[/tex]

Evaluate the expression

[tex]r_s = 13589425339.6[/tex] m

Express as km

[tex]r_s = 13589425.3396[/tex] km

Expressas AU

[tex]r_s = \frac{13589425.3396}{1.5 * 10^8}[/tex]

Evaluate the quotient

[tex]r_s = 0.09059616893[/tex]

Approximate

[tex]r_s = 0.091\ AU[/tex]

Hence, the Schwarzschild radius of this supermassive black holeis 0.091 AU

Read more about gravitational radius at:

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Answer: C

Step-by-step explanation:

This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.

Answer:

I think its 5 consecutive zeros.

Step-by-step explanation:

This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.

So my guess would be

400 * 500 * 39

= 7800000

Answer:

Based on the argument behind the correctness of the assumption is impossible, so we rule that the assumption is correct, now is the answer

The second answer from above

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Step-by-step explanation:

Answer:

A. shifted 3 units left and 2 units up

Answer:

shifted 3 units left and 2 units up

Using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.

If we have a graph or table that represents a linear relationship between x and y, we can use a linear equation to represent the graph or table as, y = mx + b.

The graph or table is missing, however, here's how to find the linear equation that represnts the table or graph.

We would find the following:

Therefore, using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.

Learn more about linear equation on:

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Answer:

Here you go

Step-by-step explanation:

Just use a slope calculator

Answer:

23 cubic units

Step-by-step explanation:

1st layer: 8 units
2nd layer: 7 units
3rd layer: 5 units
4th layer: 3 units

8+7+5+3 = 23
See the attachments below

Hope this helps :)

Answer:

I believe you are correct in saying the option you are clicked on, B.

Step-by-step explanation:

it would make the most sense

Part (a)

  [tex]\int\limits^6_0 {f(x)} \, dx =\int\limits^3_0 {f(x)} \, dx +\int\limits^6_3 {f(x)} \, dx =8+(-7) = 1[/tex]

Part (b)

 [tex]\int\limits^3_6 {f(x)} \, dx =-\int\limits^6_3 {f(x)} \, dx =-(-7) = 7\\[/tex]

Part (c)

[tex]\int\limits^3_3 {f(x)} \, dx =0[/tex]

Part (d)

[tex]\int\limits^6_3 {-5f(x)} \, dx =-5* \int\limits^6_3 {f(x)} \, dx=-5 * -7 =35[/tex]

Hope that helps!

Answer:

-15.6666667

Step-by-step explanation:

first of all divide both side then minus the divide number

Answer:42 is the third quartile

Step-by-step explanation:

By finding and solving a system of equations, we will see that after 2 hours they will drink the same amount of water.

For Elise, the number of cups consumed after the 10:00 am is:

y = 2*x + 4

Where x is the number of hours after 10:00 am.

For Jacob, the number is:

J = 3*x + 2

Then the system of equations is:

y = 2x + 4

y = 3x + 2

To solve it, we use the fact that the variable y is already isolated in both equations, so we can write:

2x + 4 = y = 3x + 2

2x + 4 = 3x + 2

Solving for x we get:

4 - 2 = 3x - 2x

2 = x

After 2 hours, Elise and Jacob drink the same amount of water.

If you want to learn more about systems of equations, you can read:

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Answer:

25

Step-by-step explanation:

First expression: A= k/M

when A = 15 and M = 5, k = A×M = 75

therefore, when M = 4, A = 75/3 = 25

Step-by-step explanation:

that means

z = k×x×y

4 = k×2×3 = k×6

k = 4/6 = 2/3

so, when x = -6 and y = 2, we get

z = 2/3 × -6 × 2 = 2 × -2 × 2 = -8

Answer:

$850.69824

Step-by-step explanation:

Answer:

$850.70 (nearest cent)

Step-by-step explanation:

Simple interest formula:   A = P(1 + rt)

where:

Given:

Substituting given values into the formula, and solving to find A:

⇒ A = 6604.8(1 + 0.0322 · 4)

       = 6604.8(1.1288)

       = $7455.50 (nearest cent)

Therefore, to find the amount of interest earned, subtract the principal from the final amount:

⇒ I = A - P

     = 7455.50 - 6604.80

     = $850.70 (nearest cent)

Step-by-step explanation:

AC= 8x-14

AC+14=8x

x=(AC+14)÷8

EC=2x+11

EC-11=2x

x=(EC-11)÷2

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Answer:

Use (a-b)2 formula that is a2-2ab+B2

I think it will help you

Suposse X=a

y= B

And then use formula

Answer:

1) what is the number of male part time students between the ages 15 - 19 years?

2) do students work more than 4 hours a day?

Answer:

x = 110

y = 23

Step-by-step explanation:

For X :

100 = x -10

110 = x

Corresponding angles are equal

For Y :

180 - 110 = 70

(2y + 24) = 70

2y = 46

y = 23

Adjacent Angles on a straight line add up to 180 Degrees

Answer:

X = 2550

Step-by-step explanation:

Convert 12% to a decimal:

⇒ 12% = 12/100 = 0.12

   12% of X is 306

⇒ 0.12X = 306

⇒ X = 306 ÷ 0.12

⇒ X = 2550

Answer:

2550

Step-by-step explanation:

Given expression: 12% of x is 306

We can make the following points of the expression:

    1. The word "of" means multiplication (×).

    2. The percent is always divided by 100 in fraction.

    3. The word "is" means equal or equivalent.

Now, let's simplify the expression.

⇒ 12x/100 = 306

⇒ 12x = 306 × 100

⇒ 12x/12 = 306 × 100/12

⇒ x = 51 × 50 = 2550

Answer:

9m = 45

Step-by-step explanation:

if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:

9m = 45

where m is the number of marbles in the red jar.

Answer:

45

Step-by-step explanation:

Have a great day!

#EquestrianLion

Answer:

D) 5

Step-by-step explanation:

5 is the rise. x or 1 is the run. (0,3) is the start location.

[tex] \cos(2x) = \cos(x) [/tex]

Solution (1)

[tex]2x = x + 2k\pi[/tex]

[tex]2x - x = 2k\pi[/tex]

[tex]x = 2k\pi[/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

[tex]2x = - x + 2k\pi[/tex]

[tex]2x + x = 2k\pi[/tex]

[tex]3x = 2k\pi[/tex]

[tex]x = \frac{2k\pi}{3} [/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

Answer:

182 m

Step-by-step explanation:

The shape is a trapezoid. The area of the trapezoid formula is [tex]\frac{a + b}{2}h[/tex].

The two bases (AKA a and b) are 8 + 18.

The height is 14.

[tex]\frac{18+8}{2} 14[/tex], Add 18 + 8

[tex]\frac{26}{2}14[/tex], Divide 26 by 2

[tex]13 *14[/tex], 182