Answer:
a = 2/27
b = 13/27
Step-by-step explanation:
The given polynomial is presented as follows;
f(x) = a·x³ + b·x² + x + 2/3
Given that x + 3 is a factor, we have;
f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0
-27·a + 9·b - 3 + 2/3 = 0
-27·a + 9·b = 7/3........(1)
Also we have
(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5
Therefore;
a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5
-8·a + 4·b - 2 + 2/3 = 5
-8·a + 4·b = 2 - 2/3 = 4/3........(2)
Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;
-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3
-8·a + 12·a = 8/27
4·a = 8/27
a = 2/27 ≈ 0.0741
imputing the a value in equation (1) gives;
-27×2/27 + 9·b = 7/3
-2 + 9·b = 7/3
9·b = 7/3 + 2 = 13/3
b = 13/27 ≈ 0.481.
Answer:
Nvm misread question
Step-by-step explanation:
one second please
Answer:
7.5/5 = 1.5
6/1.5 = 4
X = 4
I'm pretty sure it's right
Answer:
Step-by-step explanation:
Set is a well defined collection of objects .
We can express set in roaster form or set - builder form
<u>Roaster Form</u>
We express elements within curly brackets using commas between the elements .
<u>Set Builder Form</u>
In set builder form , all the elements of the set possess a common property which is not possess by elements outside the set .
We describe the elements of set using a symbol x which is followed by a colon . After colon , we write property possessed by the element and then enclosed the description within curly brackets .
(a)The set of all humans whose first name is Tanya or Nelson
We need to write this one in set builder form .
Define set as follows : { x ∈ H : H is set of all the humans and x is either Tanya or Nelson }
Answer:
Step-by-step explanation:
hope this helps have a good rest of your day :) ❤
