Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
- If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)
- If f(x) translated vertically k units, then its image h(x) = f(x) + k
Let us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
- a translation of 5 units up
- a vertical stretch with a scale factor of 2
Answer:
The volume = 
Step-by-step explanation:
* The rule of the volume of the rectangular prism:
- the volume of any prism = base area × height
∵ The base of the rectangular prism is rectangle
∵ Area any rectangle = Length × Width = l × w
∴ The volume of the rectangular prism = l × w × h
* In the problem:
∵ l = x , w = x² , h = 5x² + 4x + 1
∴ The volume = (x)(x²)(5x² + 4x + 1)
* We will simplify it
- Multiply x by x² and then multiply the answer by the bracket
∵ x × x² = x³
∴ x³(5x² + 4x + 1)
∵ x³ × 5x² = 5x^5
∵ x³ × 4x = 4x^4
∵ x³ × 1 = x³
∴ The volume =
Answer:
6? i hope this helps some! :)
Step-by-step explanation:
each has 6 in between the number
5 or 6 p there is a possibility of there being 6
7 or 8 there is at least 6 in this cup
6 or 7 there is at least 6 in this cup
7 or 5 there is a possibility of there being 6
The answers you have for each of them are right
