Response:
a)12 b)12 c)36
Detailed steps:
a) Identify the least common multiple. The quantity of marbles corresponds to that value multiplied by n (with n representing an integer)
b) The least common multiple is calculated as 4*3=...
c)12*3 =?
Afterward, simply divide by 2, 3, and 4 to find the solution
Answer:
- 8
Step-by-step explanation:
Given the expression
(3x² - 5)(4 + 4x²)
Each term from the second factor is multiplied by every term in the first factor, meaning
3x²(4 + 4x²) - 5(4 + 4x²) ← distribute both parentheses
= 12x² + 12
- 20 - 20x² ← combine like terms
= 12 - 8x² - 20
The coefficient for the x² term is - 8
Answer:
The operation r(180°,0) represents a 180° rotation around the origin.
This rotation shifts our shape to the opposite quadrant (effectively translating it across two quadrants).
Thus, this can be seen as:
A reflection across the x-axis followed by a reflection across the y-axis.
Alternatively.
It can also be depicted as a reflection across the y-axis followed by a reflection across the x-axis.
There exists another reflection method, contingent upon the position of our figure.
When the figure is situated in either the first or third quadrant, reflecting over the line y = -x yields a result equivalent to the rotation.
Conversely, if the figure lies in the second or third quadrant, reflecting over the line y = x corresponds to the rotation.
We can merge these two approaches into a single expression:
A reflection over the line y = (-1)^n*x.
Here, n indicates the number identifying the quadrant containing the figure.
Answer:
We start with the number 337 060.
Expanded form refers to a way of representing a standard form number in more detail.
This number will be converted to expanded form utilizing exponents.
=> 337 060
To begin, let's break down each component.
=> 300 000 = 3 x 10^5
=> 30 000 = 3 x 10^4
=> 7 000 = 7 x 10^3
=> 60 = 6 x 10^1
=> 3 x 10^5 + 3 x 10^4 + 7 x 10^3 + 6 x 10^1 – this is the expanded form of the number using exponents.
Step-by-step explanation:
