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2 years ago

52.) Five times a number is 45

1 answer:

4 0

52). 5x=45 Divide each side of the equation by 5.

53). -3x = 12 Divide each side by -3.

54). x/4 = 10    Multiply each side by 4 .

55). x/3 = -8    Multiply each side by 3 .

1). x -10 = 12 . Add 10 to each side.

3). x + 8 = 16    Subtract 8 from each side.

5). 5 + x = 6 Subtract 5 from each side.

7). x - 4 = 9    Add 4 to each side.

Thank you for the 5 points. The crust and warm water are delicious.

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NO LINKS!!! What is the transformation f(x)= x^3:

Mama L [17]

Answer:

4. Horizontal shrink by a factor of ¹/₅

5. Left 5, Up 5

6. Right 5, Down 5

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

For a > 0

$f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}$

$f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}$

$f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}$

$f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}$

$y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a$

$y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}$

$y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}$

$y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}$

Identify the transformations that take the parent function to the given function.

Question 4

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(5x)^3$

Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by 5.

Therefore, the transformation is:

$y=f(5x) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{5}$

As a > 1, the transformation visually is a compression in the x-direction, so we can also say: Horizontal shrink by a factor of ¹/₅

Question 5

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(x+5)^3+5$

Comparing the parent function with the given function, we can see that there are a series of transformations:

Step 1

5 has been added to the x-value of the parent function.

$f(x+5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units left}$

Step 2

5 has then been added to function.

$f(x+5)+5 \implies f(x+5) \: \textsf{translated}\:5\:\textsf{units up}$

Transformation: Left 5, Up 5

Question 6

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(x-5)^3-5$

Comparing the parent function with the given function, we can see that there are a series of transformations:

Step 1

5 has been subtracted from the x-value of the parent function.

$f(x-5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units right}$

Step 2

5 has then been subtracted from function.

$f(x-5)-5 \implies f(x-5) \: \textsf{translated}\:5\:\textsf{units down}$

Transformation: Right 5, Down 5

Learn more about graph transformations here:

brainly.com/question/27845947

6 0

1 year ago

Read 2 more answers

A car rental agency advertised renting a car for $26.95 per day and $0.27 per mile. If David rents this car for 3 days, how many

Lapatulllka [165]

Step-by-step explanation:

1 day = $ 26.95

3 days = 26.95 × 3

= $80.85

Remainder = $100 - $80.85

= $19.15

1 mile = $ 0.27

= $19.15 ÷ $0.27

= 71 miles

8 0

2 years ago

Read 2 more answers

Simplify the expressions

4vir4ik [10]

Answer:

1) 2(2x+3)

2) 2x+4

3) - X + 4

4) 9x - 2

5) 5x−2

6) - 12x - 17

7) - 15x + 11

8) 3x/4

9) - 4x + 7

10) 4x-26/2

11) - 8x + 20.8

12) x - 6

8 0

2 years ago

Find the domain and range of the following function f(x) = 3lx+7l-2

Vesna [10]

Answer:

The Domain is all real numbers. there are no restrictions upon x.

The Range (-2,∞) because when x= -7, -2 is the minimum amount

Step-by-step explanation:

7 0

2 years ago

PLEASE ANSWER NUMBER 2 HELP WILL GIVE BRAINLIEST

german

Answer:

The measure of each angle remains the same after each transformation. The reason is because when you undergo a reflection, a rotation, or a translation, the triangle remains the same size and shape (congruent), therefore there is no change to the angles. The only thing changing is the position of the shape.

Step-by-step explanation:

4 0

3 years ago