Hey there!
Question #1.
2^6 + (2^3)^3
= 64 + (8)^3
= 64 + 8^3
= 64 + 512
= 576
Therefore, the answer should be:
Option A. 576
Question #2.
11^-4 * 11^8
= 1/14,641 * 214,358,881
= 14,641
≈ 11^4
Therefore, the answer should be:
Option C. 11^4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
the slope is 4/1 because it's 4x and the y intercept is -4
Let me know if u can see this picture
Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
- y = x/-2 → y = -1/2x
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
- 2y = 12 - x
- y = 6 - 1/2x
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0
- -2y = -3x
- y = 3/2x
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x
- y = x + 2
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
