Answer:
D
Step-by-step explanation:
When a polynomial f(x) is divided by (x - a) then remainder is f(a)
A
divided by (x + 4 ), then a = - 4
- 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20
B
divided by (x - 2), then a = 2
3(2)³ + 7(2)² + 5(2) + 2
= 3(8) + 7(4) + 10 + 2
= 24 + 28 + 12 = = 64 ≠ 20
C
divided by (x + 5) , then a = - 5
(- 5)³ + 5(- 5)² - 4(- 5) + 6
= - 125 + 125 + 20 + 6 = 26 ≠ 20
D
divided by (x - 2), then a = 2
3
- 5(2)³ + 5(2) + 2
= 3(16) - 5(8) + 10 + 2
= 48 - 40 + 12 = 20 ← Remainder of 20
Answer:
y - 3 = (2/5)(x + 2)
Step-by-step explanation:
Start with the general point-slope form of the equation of a straight line:
y - k = m(x - h). Now substitute -2 for h and 3 for k, and also 2/5 for m:
y - 3 = (2/5)(x + 2)
Well, in the first one, 2 degrees below zero is -2 degrees, and then it says that it dropped 14 degrees, which means it dropped -14 degrees, so to know the total amount it dropped you would just have to add -2 plus -14 which is -16 degrees, so your answer for the first question would be the last answer, -16 degrees.
For the second question, just know that whenever a negative number is BY ITSELF in parentheses, that means it is used like a positive number in the equation. So (-12) automatically becomes 12. Now, since the problem is asking for a SUM, (the answer to an ADDITION problem; when you add instead of subtract), you would turn that minus symbol to a plus symbol, and add normally to get your final answer; 30 + 12 = 42. To check if this is correct, just type in <span>30 – (–12) to a calculator and you'll get the same answer! :D
Hope this helps! :3</span>
