Answer:q = - 9 and r = - 10
Step-by-step explanation:
since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12
q + r + 7 = - 12 ( subtract 7 from both sides )
q + r = - 19 → (1)
Since (x - 3) is a factor of g(x), then
g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is
108 + 9q + 3r + 3 = 0
9q + 3r + 111 = 0 ( subtract 111 from both sides )
9q + 3r = - 111 → (2)
The 2 equations to be solved simultaneously are (1) and (2)
Multiply (1) by - 3
- 3q - 3r = 57 → (3)
Add (2) and (3) term by term to eliminate r
6q = - 54 ( divide both sides by 6 )
q = - 9
Substitute q = - 9 into (1)
- 9 + r = - 19 ( add 9 to both sides )
r = - 10
Hope the helps!!! ❤️
Answer:
-24degC
Step-by-step explanation:
-6degC dropping by 2degC leads to -8degC (2degC colder, higher value negative numbers are colder as negative numbers increase in the opposite direction of positives)
so next -8degC rising by 3degC which is 3degC hotter(less negative) will give -5degC
the finap drop by 9degC makes the final temperature -5 -19 = -24degC(similar reasoning)
if you want a more straightforward method to doing these sorts of questions, just take temperature rise : add the value it rose by and temperature fall/drop: subtract the value it dropped/falled by.
Answer: m=13
Step-by-step explanation:
Basically you solve this by finding out what plus 4 equals 17. You can do this by subtracting 4 from 17.
17-4=13
This is how you find the value of m.
Answer: B
Step-by-step explanation: i just did the question
