The graph represents f(x) = |x| + 3.


what is f(-2, 2)?
A) -2
B) 0
C) 1
D) 2​

Earth's diameter is 0.0092 times less than the sun's diameter.

The Diameter of Earth = 1.3 * 10⁴ km

The Diameter of Moon = 3.5 * 10³ km

Let the diameter of sun be x km

According to the question

The diameter of the sun is 400 times that of the moon.

x = 400 * 3.5 * 10³ km

= 14 * 10⁵ km

The Diameter of earth / diameter of sun

=  1.3 * 10⁴ / 14 * 10⁵

= 0.0092

Hence, The diameter of the Earth is 0.0092 times that of the Sun.

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Answer:

x = - 9, y = -1

Step-by-step explanation:

Given:

\(\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}\)

Solve:

\(\mathrm{Substitute\:}x=-7+2y\)

\(\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}\)

\(\begin{bmatrix}21-8y=29\end{bmatrix}\)

\(\mathrm{For\:}x=-7+2y\)

\(\mathrm{Substitute\:}y=-1\)

\(x=-7+2\left(-1\right)\)

\(x=-9\)

\(\mathrm{Thus, Answer:x=-9,\:y=-1}\)

[RevyBreeze]

Answer:

x = -9, y = -1

Step-by-step explanation:

Solution:

If x = -7+2y

Then

-3(-7+2y)-2y=29

Simplify

21 - 8y = 29

And if x = -7+2y

Simplify

y = -1

x = -7+2(-1)

x = -9

Hence, x = -9 and y = -1

~lenvy~

Answer:

10×4 = 40

Given,

already travelled 15 miles

so,

40+15

55 miles

Therefore, The It travels 55 miles

I don't whether it's right or wrong

Answer:

She would have two leftover slices

Step-by-step explanation:

Answer:

She gave each children 1 piece of pie. She will have 2 leftover slices so she can cut both in half and each child can get another half of a single pie.

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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The best search engine for Musical Instrument and Sound Effects in MP3 Audio Online is MP3 realm.

MP3 is a digital audio coding format developed primarily by the Fraunhofer Society in Germany, with assistance from other digital scientists in the United States and elsewhere.

MP3 (MPEG-1 Audio Layer-3) is a standard technology and format for compressing a sound sequence into a small file (about one-twelfth the size of the original file) while maintaining the original level of sound quality when played. MP3 files, which take up very little hard drive space, are commonly used to store a song or an entire CD.

MP3 Realm is a music search engine that allows you to find MP3 tracks from all over the Internet.

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Answer:

the answer is 180

Step-by-step explanation:

Answer:

are you missing an attachment? I'm confused by the question

Answer:

15% interest

Step-by-step explanation:

because it's 15 out of 100 so that would be 15%

Answer:

see below

Step-by-step explanation:

3x + 7x − 28 + 31 − 8x

Simplified:

  2x + 3

Value when x = 2043:

  2x + 3  

  2(2043) + 3

  4086 + 3

  = 4089

123 − 2x − 3x + 7

Simplified:

  -5x + 130

Value when x = 5:

  -5x + 130

  -5(5) + 130

  -25 + 130

  = 105

Answer: Show the table

Step-by-step explanation:

SHow the table

Answer:

$3240 a month

Step-by-step explanation:

First, find her reduced salary:

3000(0.9)

= 2700

Then, find her salary after the raise:

2700(1.2)

= 3240

So, her salary after the raise is $3240 a month

The angles which measure 20 degrees are∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16. The solution has been obtained using the properties of parallel lines.

Parallel lines are any two or more lines that lie in the same plane, are equally spaced apart, and never cross one another.

We are given t || x and k || w and m∠3 = 20°

Using the properties of parallel lines, we get -

∠3 = ∠1            (As these are vertically opposite angles)

∠3 = ∠5           (As these are alternate interior angles)                

∠3 = ∠7             (As these are corresponding angles )

Now,

∠4 = 180 - ∠3                     (As they form a linear pair)

∠10 = 180 - ∠9                    (As they form a linear pair)

Also,

∠10 = ∠4                            (Parallelogram's opposite angles are same)

So,

180 - ∠9 = 180 - ∠3

∠3 = ∠9                                                       .... [ii]

∠9 = ∠11               (As these are vertically opposite angles)

∠3 = ∠11               ( from [ii] )                                           .... [iii]

∠11 = ∠14               (As these are alternate interior angles)

∠3 = ∠14               ( from [iii] )                                               .... [iv]

∠14 = ∠16               (As these are vertically opposite angles)

∠3 = ∠16               ( from [iv] )    

Hence, the angles which measure 20 degrees are

∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16.

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Answer:

49/54

Step-by-step explanation:

7/9 + 7/54

42/54 + 7/54

49/54

Answer:

3375 \(\pi \\\) cubic centimeters

Step-by-step explanation:

Trick question: The largest piece is the entire cone.

First lets identify the equation for volume.

V= 1/3 h pi r^2

h=45

r=15

V= 1/3 45 * pi 15^2

v= 15* pi 225

3375 pi

You keep pi because the answer has pi.

Answer:

  \(\text{(c) }\ 13\sqrt[4]{x}-10\sqrt[4]{2y}\)

Step-by-step explanation:

Simplification of radical expressions of this sort involves ...

The given expression can be simplified as follows:

  \(\displaystyle 2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}\\\\=2\sqrt[4]{2^4x}-2\sqrt[4]{2y}+3\sqrt[4]{3^4x}-4\sqrt[4]{2^4(2y)}\\\\=2\cdot2\sqrt[4]{x}-2\sqrt[4]{2y}+3\cdot3\sqrt[4]{x}-4\cdot2\sqrt[4]{2y}\\\\=(2\cdot2+3\cdot3)\sqrt[4]{x}-(2+4\cdot2)\sqrt[4]{2y}\\\\=\boxed{13\sqrt[4]{x}-10\sqrt[4]{2y}}\)

Answer:

Step-by-step explanation:

Let's convert this equation to exponential form.  Then:

 ^ \log_(2) (x^(5))

2                             = 2^1     This is valid because 2 is the base of both the logarithmic and exponential forms.  

Therefore:

x^5 = 2.  Taking the fifth root of both sides, we get:

x = 2^(2/5), which is approximately 1.32.

The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

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Answer:

E 1 cm/min 98π

Step-by-step explanation:

We know the volume of a sphere V = 4πr³/3. Now the rate of change of volume with respect to time dV/dt = dV/dr × dr/dt where dV/dr is the rate of change of volume with respect to the radius and dr/dt is the rate of change of radius with respect to time.

Now, dV/dt = -2 cm³/min since it is decreasing

dV/dr = 4πr²

So, dV/dt = dV/dr × dr/dt

-2 cm³/min =  4πr²dr/dt

dr/dt = -2 cm³/min ÷ 4πr²

when r = 7 cm,

dr/dt = -2 cm³/min ÷ 4π(7 cm)²

dr/dt = -1 cm³/min (2π × 49 cm²)

dr/dt = -1 cm/min 98π

So, the radius is changing (decreasing) at a rate of 1 cm/min 98π

Answer:

$10.10

Step-by-step explanation:

$7.50 + $2.60 = $10.10

Answer:

The value of d = -5

The polynomial function   x³ +5 x² - 4x -20 =0

Step-by-step explanation:

Explanation

Given that the equation is third degree polynomial

p(x) = x³ - d x² - 4x -20

Given factors x= 2 and x=-2

Substitute 'x' = 2 in given polynomial

     8 -d(2²)-4(2) - 20 =0

⇒   8 - 4 d - 8 -20=0

⇒     - 4 d-20 = 0

⇒    - 4 d = 20

⇒         d = - 5

The value of d = -5

Verification:-

After substitution d =-5 in given polynomial

x³ - (-5) x² - 4x -20 =0

put x=2

8 +5(4)-8-20 =0

             20 =20

The factors are x= 2 and x=-2 of the given polynomial

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

32

Step-by-step explanation:

the denominators are the same, so just add the two fractions on the right and subtract it from the answer on the left.

3500/7+210/7=3710/7

subtract 3710 from 3742

= 32

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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The other equation is y = x - 4. The graph of y = -3 + 5 is a horizontal line at y = 2, and the graph of y = x - 4 is a line with a slope of 1 passing through the point (-3, 2).

To find the other equation, we need to determine the equation that has a slope of 1 and intersects with the point (x, y) = (−3, 5).

Since the slope is 1, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Using the point-slope form with the point (−3, 5) and a slope of 1, we have:

y - 5 = 1(x - (-3))

y - 5 = x + 3

y = x + 8

So, the other equation is y = x + 8.

Now let's graph both lines on the coordinate system.

The first equation, y = −3 + 5, simplifies to y = 2, which is a horizontal line passing through y = 2.

The second equation, y = x + 8, has a slope of 1, meaning it has a positive slope and a y-intercept of 8. Thus, it represents a line that increases as x increases.

When we graph both equations, we have a horizontal line at y = 2 intersecting with a line that increases as x increases and passes through the point (−3, 5).

The graph shows the two lines intersecting at the point (-3, 2).

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Answer:

(-3,3)

Step-by-step explanation:

Using elimination:

Multiply the first equation by 8 and the second by 5 which equals

40x+56y=48

-40-60y=-60

Now you add them together

40x+(-40x)=0 so that crosses out

56y+(-60y)= -4y

48+(-60)=-12

You now have -4y=-12

Divide by -4

y=3

Now plug in y to any of the equations

5x+7(3)=6

5x+21=6

Subtract 21 from both sides

5x=-15

Divide by 5

x=-3

Your final solution is (-3,3)

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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