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Leokris [45]
3 years ago
9

A lion is running 75 feet per second and is 108 feet behind a wildebeest that is running at 66 feet per second. A lion can only

maintain this speed for a very short period. How many seconds will it take lion to catch up to the wildebeest?
Mathematics
2 answers:
AURORKA [14]3 years ago
6 0

Answer:

12 seconds

Step-by-step explanation:

75 t=66t+108

75t-66t=108

9t=108

t=108/9=12

Alekssandra [29.7K]3 years ago
6 0

Answer:

The answer to your question is: 12 seconds

Step-by-step explanation:

Lion v = 75 ft/s

wildebeest = 66 ft/s and is 108 feet behind the lion

t = time = ?

Formula

v = d/ t    solve for d   d = vt

Process

lion      d = 75t

wildebeest =   d = 108 + 66t

Now

                    75t = 108 + 66t

solve for t     75t - 66t = 108

                     9t = 108

                       t = 12 s

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2 years ago
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
Factor: 3.x2 + 7x + 2​
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5 0
3 years ago
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8 0
3 years ago
Read 2 more answers
Solve the problem making a chart. A Roman statue is three times as old as Florentine statue. One hundred years from now the Roma
Paraphin [41]

Answer:  300 years

Step-by-step explanation:

Let x be the age of Florentine statue,

Thus, According to the question,

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After 100 years, the age of Florentine statue = x + 100

And, the age of Roman statue = 3x + 100

Again according to the question,

3x + 100 = 2( x + 100)

3x + 100 = 2x + 200

3x - 2 x = 200 - 100

x = 100

Therefore,  the present age of Roman statue = 3 × 100 = 300 years


8 0
3 years ago
Read 2 more answers
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