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ArbitrLikvidat [17]
3 years ago
9

Help for lots of points!

Mathematics
1 answer:
IgorC [24]3 years ago
3 0

Answer:

um wait i did this one let me find my answer

Step-by-step explanation:

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Given f ( x ) = 3 x 2 + k x − 13 f(x)=3x 2 +kx−13, and the remainder when f ( x ) f(x) is divided by x + 4 x+4 is 15 15, then wh
Varvara68 [4.7K]

Answer:

k=5

Step-by-step explanation:

We are provided with function, f ( x ) = 3 x^{2} + 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 (-4^{2}) + 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 = \frac{20}{4}

<h2>k = 5</h2>

4 0
4 years ago
A group of 10 friends will pack bottles of water into an unknown number of coolers for a trip to the beach. Each cooler will con
MrRa [10]
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 !
8 0
3 years ago
If a dairy has 8 gallons of milk to sell and they package the milk in quarts, how many quarts will they have to sell?
Mila [183]

Answer:

32 quarts

Step-by-step explanation:

1 gallon = 4 quarts

⇒ 8 gallons = 8 x 4 = 32 quarts

8 0
3 years ago
Solve 3x-4=17 you may use the flowchart to help if u wish
Neko [114]

Answer:

3x-4=17

3x=17+4

3x=21

x=21/3

x=7

8 0
3 years ago
Find the length of the hypotenuse of a right angle if a = 6 and b = 10
defon

Answer:

11.66

Step-by-step explanation:

c² = a² + b²

c²= 6² + 10²

c²= 136

c= √136

c= 11.66 ( to two decimals)

8 0
3 years ago
Read 2 more answers
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