You can bike at a rate of 7 miles in 25 minutes. At this rate, how long will it take you to go 18 miles?​

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

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Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) +  N

Where if N is positive, the translation is upwards.

If N is negative, the translation is downwards.

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

The shift up of 4 units is written as:

g(x) = f(x) + 4

The shift of 2 units to the left is written as:

g(x) = f(x + 2)

These two together give:

g(x) =  f(x + 2) + 4.

This is the equation we wanted to get.

If you want to learn more, you can read:

https://brainly.com/question/24401156

the answer is -2¹⁶

mark me as brainlist answer

Answer:

1st im not sure yet 2nd A. -4 B. 4

Step-by-step explanation:

Answer:

24.12+28.90

Step-by-step explanation:

Answer:

[tex]x = \frac{1}{4} z - \frac{1}{4} y[/tex]

Step-by-step explanation:

4x + y = z

4x = z - y

x = 1/4z - 1/4y

22 percent of the costumers used the service

and 78 percent didnt

Answer:

374

Step-by-step explanation:

Answer:

5/14

Step-by-step explanation:

add 5 and 9 to get the denominator

Answer:

(3x)¹²

Step-by-step explanation:

(3x³)⁴ is in form of (e³)⁴ which can be written as e³×⁴

= e¹²

so (3x³)⁴ can be written as (3x)¹²

Answer:

3x¹²

Step-by-step explanation:

According to the power rule of exponents, to simplify a power of a power, you multiply the exponents and keep the base the same. In this case, 3 and 4 are the exponents. 3 times 4 is 12. So the answer would be 3x to the power of 12.

(3x³)⁴

3x³*⁴

3x¹²

Answer:

a

Step-by-step explanation:

Answer:The answer to your question is 3. 0

Step-by-step explanation:

Process

1.- Find the cos a

  Opposite side = 5

  Hypotenuse = 13

  Adjacent side = ?

  Adjacent side² = 13² - 5²

                          = 169 - 25

                          = 144

 Adjacent side = 12

cos a = 12/13

2.- Find the sin b

sin b = 5/13

3.- Use the formula below to find sin(a + b)

              sin (a + b) = sina cosb  + sin b cos a

- Substitution

              sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)

- Simplification

              sin (a + b) = -60/169 + 60/13

- Result

              sin(a + b) = 0                        

Step-by-step explanation:

Answer:

I would advise you to simplify the question a little bit so that more people can understand and help you out!

Answer:

y = - [tex]\frac{1}{3}[/tex]x + 4

Step-by-step explanation:

To find the slope of a perpendicular line, find the negative reciprocal of the slope.

The slope is 3 so the slope of the perpendicular line would be - [tex]\frac{1}{3}[/tex]

________________

Then use point slope form to find the equation of the perpendicular line:

y - [tex]y_{1}[/tex] = m (x -  [tex]x_{1}[/tex] )

point = (6, 2)

slope = - [tex]\frac{1}{3}[/tex]

y - 2 = - [tex]\frac{1}{3}[/tex] (x - 6)

________________

If you want it in slope intercept form, you can just rearrange the equation:

y = 2 - [tex]\frac{1}{3}[/tex]x +2

y = - [tex]\frac{1}{3}[/tex]x + 4

Answer:AB = 5/2 and CD = 2/-5, perpendicperpendicular

Step-by-step explanation:

0+5 = 5

2+2=4

1+2=3

8-5=3

Answer:

2. -6x+7xy

Step-by-step explanation:

-2(3x-3xy)+xy=-6x+6xy+xy

=-6x+7xy

Answer:

hey there,

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

17+3=20

4×5=20

20-17=3

Answer: Cathy walked her dog 28810 miles

Step-by-step explanation:

215*134=28810

Answer:

Cathy walked her dog 28810 miles

Step-by-step explanation:

Answer:

3/7=0.4285

Step-by-step explanation:

0.4285

= 0.429

Answer:

70

Step-by-step explanation:

I added the numbers given then subtracted from the given number which left 140. The answer is the same number twice which would be 70.

Answer:

345

Step-by-step explanation:

Answer:

y = 9/2x - 4

Step-by-step explanation:

Slope: 9/2

Point: (2,5)

b = 5 - (9/2)(2)

= 5 - 9 = -4

b = - 4

Answer:

9,403,100

Step-by-step explanation:

just round it to the nearest 100

Answer:

the function is odd

Step-by-step explanation:

functions that are symmetric with respect to the y axis are even functions

functions that are symmetric with respect to the origin (the 0,0 point) are odd functions (which means that if you flipped it 180 degrees it will still look the same)

have a nice day!

answer →a murder most heinous and a narrator who fights his insanity

Answer:

*Replace each "x" with the required numbers .

1) g (14) ; Ans;

[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]

___o_o___

2) f (-8) ; Ans;

[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]

___o_o___

3) j (3) ; Ans;

[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]

___o_o___

4) h (4) ; Ans;

[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]

___o_o___

5) f (2.8) ; Ans;

[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]

___o_o___

6) j(-5) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]

___o_o___

7) g(3/4); Ans;

[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]

___o_o__

8) [h(6.2)]² ; Ans;

[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]

___o_o___

9) j(2) + g(-3) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]

___o_o___

10) h(1) - f(-10) ; Ans;

[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]

___________o____o__________

**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .

***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .

Table (1) Ans;

f(4) = –3

f(-2) = – 6

If f(x)= -3 ,then x = 4

If f(x) = 1 , then x = 3

___o_o___

Table (2) Ans;

f(4) = –7

f(-2) = 1

If f(x)= -3 ,then x = 0

If f(x) = 1 , then x = - 2

___o_o____

Table (3)Ans;

f(4) = 7

f(-2) = 3

If f(x)= -3 ,then x = 6

If f(x) = 1 , then x = 0

I hope I helped you^_^

Answer:

18, 38, 43, 47, 55, 88, 90

Hope that has helped

Answer:

17

Step-by-step explanation:

(11+14÷2)−1

 (11+7)−1

    18−1

       17

Answer:

the first one is equivalent and the second one is not equivalent

Step-by-step explanation:

In the first one do the distributive property first by distributing the the -2.

[tex]3x - 4.6x - 5 = 1.6x - 5[/tex]

collect like terms on the left side

[tex] - 1.6x - 5 = - 1.6x - 5[/tex]

they are equivalent.

The second equation do the distributive property first by multiplying by -3.

[tex]5 + 4.8x + 6.3 = 4.8x - 1.3[/tex]

collect like terms on the left.

[tex]4.8x + 11.3 = 4.8x - 1.3[/tex]

not equivalent

Answer:

The answer is -21.1 degrees

Step-by-step explanation:

You get this by simply subtracting 17.5 from a negative 3.6. This will look like -3.6-17.5= x. Doing that gets you a negative 21.1. I hope this helps!

Answer:

64 i[tex]n^2\\[/tex]

Step-by-step explanation:

ok so first the shape is a square which means all sides are the same length so

8*8 = 64

Have a nice day! :-)