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>
Let x by the number of cooler
since each cooler has 25 bottles
then in total we have 25x
there are 10 friend in total to divide the bottles equally
we have 25x/10 this expresses the number of bottles each friend will get
that answers part a) of the question
now for part b)
we are told the friend brought 2 cooler
then we should have 25(2)=50 number of bottles in total
then it goes that each one of the friend will get 5 bottles (50/10)
Done !
Answer:
32 quarts
Step-by-step explanation:
1 gallon = 4 quarts
⇒ 8 gallons = 8 x 4 = 32 quarts
Answer:
11.66
Step-by-step explanation:
c² = a² + b²
c²= 6² + 10²
c²= 136
c= √136
c= 11.66 ( to two decimals)
