Using translation concepts, the equation of g(x) is given as follows:

<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent function is given by:

For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:

For a vertical stretch by a factor of 7, we have to multiply by 7, hence:

For a reflection in the y-axis, we have to find g(-x), hence:

For a translation of 10 units left, we have to find g(x + 10), hence:

For a translation of 1 unit down, we have to subtract one, hence:

More can be learned about translation concepts at brainly.com/question/28174785
#SPJ1
Answer: The equation of the line in slope-intercept form is “y = 4/3x + 4.”
Answer:
See below ~
Step-by-step explanation:
<u>Things to Find</u>
- Volume of Toy
- Difference of Volumes in Cube and Toy
- Total Surface of Toy
<u>Volume of Toy</u>
- Volume of Hemisphere + Volume (Cone)
- 2/3πr³ + 1/3πr²h
- 1/3πr² (2r + h)
- 1/3 x 3.14 x 16 (8 + 4)
- 1/3 x 50.24 x 12
- 50.24 x 4
- <u>200.96 cm³</u>
<u></u>
<u>Volume of Circumscribing Cube</u>
- Edge length is same as diameter
- V = (8)³
- V = 512 cm³
<u>Difference in Volume</u>
- 512 - 200.96
- <u>311.04 cm³</u>
<u></u>
<u>Slant height of cone</u>
- l² = 4² + 4²
- l² = 32
- l = 4√2 cm = 5.6 cm
<u />
<u>Surface Area of Toy</u>
- CSA (hemisphere) + CSA (Cone)
- 2πr² + πrl
- πr (2r + l)
- 3.14 x 4 (8 + 5.6)
- 12.56 x 13.6
- <u>170.8 cm²</u>
Answer:
$0.58
Step-by-step explanation:
There are 8 pencils per package. To find the value of each pencil, divide the cost by 8
4.64/8 = $0.58