F(x)=2 to the power of x +3 what is the value of f(-2)

Answer:

[tex]y=x^3-12x^2+48x-58[/tex]

Step-by-step explanation:

Transformation Rules

[tex]f(x+a)=f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a)=f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

Given equation: [tex]y=x^3+6[/tex]

If the graph of the equation is translated 4 units to the right, then we replace [tex]x[/tex] with [tex](x-4)[/tex]:

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

[tex]\implies y=(x-4)(x-4)(x-4)+6[/tex]

[tex]\implies y=(x-4)(x^2-8x+16)+6[/tex]

[tex]\implies y=x^3-8x^2+16x-4x^2+32x-64+6[/tex]

[tex]\implies y=x^3-12x^2+48x-58[/tex]

Answer:

Step-by-step explanation:

Given

Translating 4 units right

Answer:

AAS

Step-by-step explanation:

angle w=angle y

angle z=angle x

wz=xy

Answer:

70

Step-by-step explanation:

Same side interior angles of parallel lines cut by a transversal are supplementary, so their measures have a sum of 180°.

2x - 5 + 45 = 180

2x + 40 = 180

2x = 140

x = 70

Answer:

22650

Step-by-step explanation:

Answer:

10.38

Step-by-step explanation:

Answer:

David used 1/2 of apple juice for every 1/4 cup of cranberry juice to make a fruit drink

The seattle great wheel is an illustration of sectors, arcs, circumference and area of circles

The diameter is given as:

d = 175 feet

The circumference (C) is calculated as:

C = πd

This gives

C = 3.14 * 175

C = 549.5 feet

Hence, the circumference of the wheel is 549.5 feet

This is calculated as:

A = π(d/2)^2

This gives

A = 3.14 * (175/2)^2

A = 24040.625

Hence, the area of the wheel is 24040.625 square feet

This is calculated as:

θ = 360/n

Where n is the number of capsules

So, we have:

θ = 360/42

This gives

θ = 8.57 degrees

Hence, the central angle of the wheel in degrees is 8.57

This is calculated as:

Radians = Degrees × π/180

So, we have:

θ = 360/42 * π/180

This gives

θ = π/21 rad

Hence, the central angle of the wheel in radians is π/21 rad

This is calculated as:

L = θ * d/2

So, we have:

L = π/21 * 175/2

This gives

L = 175π/42

Hence, the arc length between two capsules is 175π/42

This is calculated as:

A = 0.5 * (d/2)^2 * θ

So, we have:

A = 0.5 * (175/2)^2 * π/21

This gives

A = 168π

Hence, the area of sector between two capsules is 168π

Read more about sector areas and arc lengths at:

https://brainly.com/question/4115882

Answer:

47 inches

Step-by-step explanation:

45 + 48 + 49 + 40 + 53 = 235

235/5 = 47

Answer:

  3x +6

Step-by-step explanation:

The rectangle representing the product 3(x+2) will have dimensions 3 and (x+2). It can be divided into portions with areas 3·2 = 6, and 3·x = 3x.

An equivalent expression is ...

  3x +6

Answer:

[tex]\sf \boxed{\bold{x = 3}}[/tex]

Explanation:

subtract both sides by 4x

group similar terms

simplify

divide both sides by -1 or cancel out the negatives

Check:

L.H.S = R.H.S  Thus x = 3 confirmed

Answer:

x = 3

Step-by-step explanation:

We are trying to move all terms that have x on one side of the equal sign and terms that  do not have an x on the other side of equal sign.

terms with x = terms without x

            4x -3 = 3x , subtract 3x from both side of the equation

      4x -3x -3 = 3x -3x

      4x -3x -3 = 0 , add 3 to both sides of the equation

4x -3x -3 + 3 = 0 + 3

          4x -3x = 3 , combine like terms

                 x = 3

Or

We can think we move each term where we want it, yet keep in mind that once we cross the equal sign we change the sign of the term if addition or subtraction are the only operations involved.

4x -3 = 3x , 3x is positive so will become negative on the other side of the equal sign and -3 is negative so will become positive on the other side.

4x -3x = 3

        x = 3

Answer:

1

Step-by-step explanation:

have you smiled today? its very important:)

Answer:

(x-3,y+4) is the rule

a. -6, 0 input. This would equal (-6)-3 for x and (0)+4 for y. Answer: -9, 4

b. 3, -4 input. This would equal (3)-4 for x and (-4)+4 for y. Answer: -1, 0

c. The rule is a function because each input only has one output

Answer:

Alicia is writing the program for a video game.  For one part of the game she uses the rule (x, y) → (x - 3,y + 4) to move points on the screen.

(a)  What output does the rule give when the input is (-6, 0)?
Show your work.

(b)  What output does the rule give when the input is (3, -4)?
Show your work.

(c)  Is the rule a function? Explain why it is or why it is not.

(a)  Input (-6, 0) → Output (-6 - 3, 0 + 4) = (-9, 4)

(b)  Input (3, -4) → Output (3 - 3, -4 + 4) = (0, 0)

(c)  The rule is a one-to-one function as each value in the range (y-values) corresponds to exactly one value in the domain (x-values).

Answer:

49

Step-by-step explanation:

We need the square root of H to equal 7, so we can just square 7 to get the answer. So 7x7 = 49.

Answer:

11º

Step-by-step explanation:

Because of vertical angles: 103=10x-7

103+7=10x

110=10x

x=11º

Answer:

Rectangular prism)1344

Rectangular pyramid)138.53

Cylinder)326.73

Cone)400.21

Triangular prism) I don't know the answer because I can't tell what sides the length is for

Answer:

Step-by-step explanation:

Remark

√-81 breaks down to two roots

Solution

√-81 = i9

Answer

C

Answer:

40 y/o

Step-by-step explanation:

33% is a z-score of -.44

  -.44  standard deviations

45 - .44(11) = ~40 y/o      Seems an odd answer !

Note down

If a pair be (x,y)

Then

Here the pairs are

Range:-

Answer: 150

Step-by-step explanation:

We know (5x-15)+(2x)=90 degree

so we can solve x = 15

plug in 5(15) - 15 = 60

60 + 90 = 150

Answer:

150

Step-by-step explanation:

m∠TOG = m∠TOP + m∠POM + m∠MOG

m∠TOG = 180°

m∠TOP = 90°

m∠POM = (5x - 15)°

m∠MOG = (2x)°

90 + ( 5x - 15 ) + 2x = 180 ⇒ 5x - 15 + 2x = 90 ⇒ x = 15

m∠TOM = 90° + m∠POM

m∠TOM = 90° + (5×15 - 15)° = 150 °

Answer: x = 56

Step-by-step explanation:

The two angles 'z' and 124 add up to form a straight line. The angle of a straight line is 180 degrees. Therefore, we can say that:

[tex]z+124=180[/tex]

Subtract 124 on both sides to isolate the angle 'z' to get:

[tex]z=56[/tex]

Answer:

z=56 degrees

Step-by-step explanation:

in total the line will equal 180 so just do 180-124 and you get 56.

Answer:

y=2x+5

y-intercept⇒x=0

y=2(0)+5 = 5

the answer is 5

hope this helps :)

Step-by-step explanation:

Well, it's hard to generalize this. But I can show you a few examples using the power rule and some derivatives of trig functions. Lets say we have a function:

[tex]f(x) = {x}^{n} [/tex]

Then you should know it's derivative is:

[tex] \frac{df}{dx} = n {x}^{n - 1} [/tex]

For polynomial functions, a subtraction of 1 from the exponent will turn any odd function into an even, and any even function to an odd. An example of this is x^3, which is odd. The derivative is 3x^2, which is even. Another example, this time of a trig function, is sine and cosine. Sine is odd, while cosine is even. The derivative of sine is cosine, and the derivative of cosine is negative sine.

Answer:

y = -x + 7

Step-by-step explanation:

Hi there!

We are given the following points:
(5,2) and (10,-3)

We want to find the equation of the line that passes through these 2 points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).

First, let's find the slope of the line.

The slope can be calculated from 2 points using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

[tex]x_1=5\\y_1=2\\x_2=10\\y_2=-3[/tex]

Now substitute these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-3-2}{10-5}[/tex]

Simplify

m=[tex]\frac{-5}{5}[/tex]

Divide

m=-1

The slope of the line is -1

We can substitute this value as m in y=mx+b.

Here's the equation of our line so far:

y=-x+b

Now we need to find b

As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b

Taking (5,2) for example:

Substitute 5 as x and 2 as y

2=-5+b

Add 5 to both sides

7=b

Substitute 7 as b in the equation

y = -x + 7

Hope this helps!

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