Answer:
1.)(I cant draw a slope but here is the equation) 45x+150
2.) 25(45) + 150
1125+150
1275
the coding project will cost <u>$1275</u> if the programmer charges $45 and hour, and takes up 25 hours
Morse code is essentially the same as binary. That is, there are two "digits", a dot or a dash.
There are 26 letters in the English alphabet. Clearly, we can't just use one dot or dash, since that could only encode 2 letters at the most. We can't use two symbols because that could only encode 4 letters at the most. Similarly, 3 symbols means

letters at most.
We have to select the smallest power of 2 that exceeds or is equal to 26. In this case,

, so we would have to use up to 5 symbols to encode each letter in the alphabet.
Answer:
Step-by-step explanation:
A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.
The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots. From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.
Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40. Because the discriminant is negative, we know that the roots will be complex and unequal.
Using the quadratic formula:
-4 ±√[-40] -4 ± 2i√10
x = ------------------ = ------------------
4 4
-2 ± i√10
Thus, the roots are x = ------------------
2
Answer:
1) undefined
2) 0
Step-by-step explanation: