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REY [17]
3 years ago
8

Jay has lost his mothers favorite necklace, so he will rent a metal detector to try to find it. A rental company charges a one t

ime rental fee of $15 plus $2 per hour to rent a metal detector. Jay has only $35 to spend. What is the maximum amount of time he can rent the metal detector?
Mathematics
1 answer:
olasank [31]3 years ago
4 0

Answer:

10 hours

Step-by-step explanation:

Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:

15 + 2x = 35

Subtract 15 from both sides

2x = 20

Divide by 2 on both sides

x = 10

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Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
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3 years ago
Write a rule for the nth term of the sequence 15, 19, 23, 27
Mkey [24]

Answer:

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Step-by-step explanation:

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aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

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Karo-lina-s [1.5K]
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hjlf

Answer:

30

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x

{x}^{2}

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=900

x=30

3 0
3 years ago
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