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tamaranim1 [39]
2 years ago
15

The average cost when producing x items is found by dividing the cost function, C(x), by the number of items, x. When is the ave

rage cost less than 100, given the cost function is C(x) = 10x + 360?
A.) (0,4)
B.) (-infinity, 0) U (4, infinity)
C.) (4, infinity)
D.) (-infinity, 0] U [4, infinity)
Mathematics
2 answers:
Mazyrski [523]2 years ago
7 0
Answer will have to be     ( B )
o-na [289]2 years ago
7 0

The answer is c, believe me.

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13. Write 1.2 as a mixed number
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Answer:

1 1/5

Step-by-step explanation:

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2 years ago
Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3​
Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

f(x)=x^4-2ax^3+ax^2- x+k

and

f(-1)=3

Answer:

k = -2 and a=1

Step-by-step explanation:

Given

f(x)=x^4-2ax^3+ax^2- x+k

Factor:\ x - 4

f(-1)=3

Required

Find a and k

For f(-1)=3

Substitute -1 for x

f(x)=x^4-2ax^3+ax^2- x+k

f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k

f(-1) = 1 - 2a *-1 + a*1 +1 + k

f(-1) = 1 +2a + a +1 + k

f(-1) = 2 +3a + k

Substitute 3 for f(-1)

3 = 2 +3a + k

Collect Like Terms

3 - 2 = 3a + k

1 = 3a + k

Also:

If x - 2 is a factor, then

f(2) = 0

Substitute 2 for x and 0 for f(x)

f(x)=x^4-2ax^3+ax^2- x+k

0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k

0 = 16 - 2a * 8 + a * 4 - 2 + k

0 = 16 - 16a + 4a - 2 + k

0 = 16 - 12a - 2 + k

Collect Like Terms

2 - 16 = - 12a + k

-14 = k - 12a

k = 12a - 14

Substitute 12a - 14 for k in 1 = 3a + k

1 = 3a + 12a - 14

1 = 15a - 14

Collect Like Terms

15a = 1 + 14

15a = 15

Solve for a

a = \frac{15}{15}

a=1

Substitute 1 for a in k = 12a - 14

k = 12 * 1 - 14

k = 12 - 14

k = -2

3 0
2 years ago
Which kind of triangle is shown?
Artemon [7]

Answer:

Option D

Right scalene

Step-by-step explanation:

It is the right angle triangle and not all sides are equal hence it's a Right scalene

 

<u>-TheUnknownScientist</u><u> 72</u>

3 0
2 years ago
Read 2 more answers
PLZ HELP ASAP I RLLY NEED THE HELP
postnew [5]

Answer: just do 10.8×9×6 and divide the answer by two

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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