Answer:

Step-by-step explanation:
15% of x = 27

15% of 180 is 27.
Volume = length * width * height
Each asterisk * refers to the multiplication symbol
The volume of the cube is equal to the length times width times height
---------------------
Example:
Consider a cube that has length, width and height each equal to 4 cm
Volume = length * width * height
Volume = (4 cm) * (4 cm) * (4 cm)
Volume = (4*4*4) cubic cm
Volume = 64 cubic cm
----------------------
Another example:
We have a rectangular prism that has the following dimensions
length = 4 ft
width = 3 ft
height = 5 ft
Computing the volume gets us:
Volume = length * width * height
Volume = (4 ft) * (3 ft) * (5 ft)
Volume = (4*3*5) cubic ft
Volume = 60 cubic ft
Answer:
1. reflection across x-axis
2. translation 6 units to the right and 3 units up (x+6,y+3)
Step-by-step explanation:
The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).
First transformation is the reflection across the x-axis with the rule
(x,y)→(x,-y)
so,
- A(-5,2)→A'(-5,-2)
- B(-3,4)→B'(-3,-4)
- C(-2,4)→C'(-2,-4)
- D(-1,2)→D'(-1,-2)
Second transformation is translation 6 units to the right and 3 units up with the rule
(x,y)→(x+6,y+3)
so,
- A'(-5,-2)→E(1,1)
- B'(-3,-4)→H(3,-1)
- C'(-2,-4)→G(4,-1)
- D'(-1,-2)→F(5,1)
Answer:
D
Step-by-step explanation:
let y = f(x), that is
y = 
Rearrange making x the subject
Multiply both sides by 5
5y = 2x - 3 ( add 3 to both sides )
5y + 3 = 2x (divide both sides by 2 ) , then
x = 
Change y back into term of x, hence
(x) =
→ D
X-intercepts
f(x) = 0
4x² - 15x - 4 = 0
4x² - 16x + x - 4 = 0
4x(x - 4) + 1(x - 4) = 0
(x - 4)(4x + 1) = 0 ⇔ x - 4 = 0 or 4x + 1 = 0
x = 4 or 4x = - 1 ⇒ x = - 1/4
Answer: -1/4 and 4.