Answer:
k=5
Step-by-step explanation:
We are provided with function, f ( x ) = 3
+ kx − 13
which is divided by x+4 gives 15.
Here,
since f(x) is divided by x+4 so we can put :
x+4 = 0
x= -4
Putting this in f(x) -----> f(-4)
f(x) = f(-4) = 3 (
) + k(-4) − 13
f(-4) = 3(16) - 4k - 13
f (-4) = 48 - 4k - 13 ------------------------------------------Equation 1
Since, when f(x) is divided by x+4 , the remainder is 15 so we can say,
f(-4) = 15
putting in equation 1
f (-4) = 15 = 48 - 4k - 13
48 -4k - 13 = 15
35 - 4k = 15
35 - 15 = 4k (Moving - 4k on right hand side and 15 on the left)
or 20 = 4k
or 4k = 20
k = 
<h2>
k = 5</h2>
Answer:
The value of x is: x > -2
Step-by-step explanation:
The interval notation if you need it is (-2, ♾)
Answer:
A U B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Let's define the sets.
Let ¢ = universal set ( Contains all the elements in the set)
¢ = {1, 2, 3, 4, 5, 6, 7, 8, 9 , 10}
A= {2, 4, 6, 8}
B= {1,2,3,4,5,6}
Therefore: A U B (A union B):
A U B = {1, 2, 3, 4, 5, 6, 8}
Hi, I'd be glad to help you with this equation!
The answer is (9)
Hope this helps.
Have a great day!