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:
{ 1,2,3,4}
Step-by-step explanation:
The domain of a function is all the inputs
The inputs are { 1,2,3,4}
The domain is { 1,2,3,4}
Answer:
$25.20
Step-by-step explanation:
10%= 2.4 because you divide 24 by 10
So 5%= half 2.4= 1.2
24+1.2=25.20
The probability that first a red bead is drawn and next a blue bead is drawn is 7/30,and both events are dependent
<h3>How to determine the probability?</h3>
The distribution of the beads are:
Red = 3
Blue = 7
Total = 10
The probability of selecting the red bead first is:
P(Red) = 3/10
When the red bead is selected, the number of beads becomes 9
So, the probability of selecting a blue bead is
P(Blue) = 7/9
The probability of the event is then calculated using:
P = 3/10 * 7/9
Evaluate
P = 7/30
Hence, the probability of the event is 7/30
Read more about probability at:
brainly.com/question/25638875
#SPJ1
P-Q should be -11a^2+4b^2+ab
