Answer:
V = 310.5 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Prism Formula: V = lwh
- <em>l</em> is length
- <em>w</em> is width
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>l</em> = 13.8 cm
<em>w</em> = 4.5 cm
<em>h</em> = 5 cm
<u>Step 2: Solve for </u><em><u>V</u></em>
- Substitute in variables [Volume of a Prism Formula]: V = (13.8 cm)(4.5 cm)(5 cm)
- Multiply: V = (62.1 cm²)(5 cm)
- Multiply: V = 310.5 cm³
Answer:
Relative minima at 
, and relative maxima DNE.
Step-by-step explanation:
The given function is f(x) = x (x + 7) ...... (1)
We have to calculate the relative maxima and relative minima at point (x, y).
Rearranging the function given above we get.
⇒ 
Now, this is an equation of parabola having vertex at and the axis is parallel to positive Y-axis.
Therefore, the function(1) has a relative minima at , and the relative maxima DNE. (Answer)
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
I think this is how you do it
Answer:
Step-by-step explanation:
Vous devrez mettre chaque nombre au carré et après, vous devrez les multiplier ensemble et une fois que vous aurez fait cela, vous devrez simplifier. Si cela aide, puis-je avoir le plus de courage. Merci.
