Answer:
D.
Step-by-step explanation:
Simply subtract the two functions from each other and simplify to get the result.
I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.
Write 58 as the sum of the largest powers of 2 that you can:
58 = 32 + 26
58 = 32 + 16 + 10
58 = 32 + 16 + 8 + 2
58 = 2⁵ + 2⁴ + 2³ + 2¹
58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰
⇒ 58₁₀ = 111010₂
To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.
10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰
10111₂ = 16 + 0 + 4 + 2 + 1
⇒ 10111₂ = 23₁₀
Answer:
5545
Step-by-step explanation:
Answer: See the screenshots below
I'm answering in this format because the questions aren't numbered, so its hard to reference them consistently (so we're both on the same page).
All decimal values are approximate. I decided to round to 4 decimal places, but feel free to use another level of precision.
-2x + 5 = 1/3x - 22
-7/3x = -27
-7x = -81
x = 81/7 or 11.57
They will intersect when x = 81/7 or 11.57