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kotegsom [21]
3 years ago
15

The value of a professional basketball player's autograph rose 10% in the last year. It is now worth $264.00. What was it worth

a year ago?
Mathematics
2 answers:
sergeinik [125]3 years ago
7 0
Answer is $240 worth a year ago

----------------------------------------------

264 / 1.10 = 240



yarga [219]3 years ago
6 0
Multiply 264 by 10% (0.1) to get 26.4. The answer is $26.40
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3 years ago
Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu
kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

f(x) =  {x}^{5}  -  {x}^{3}  + 6

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

f'(x) = 5 {x}^{4} - 3 {x}^{2}

At turning point f'(x)=0.

5 {x}^{4} - 3 {x}^{2}  = 0

This implies that,

{x}^{2} (5 {x}^{2}  - 3) = 0

{x}^{2}  = 0 \: or \: 5 {x}^{2}  - 3 = 0

x =  - \frac{ \sqrt{15} }{5}   \: or \: x = 0 \:  \: or \: x =\frac{ \sqrt{15} }{5}

We plug this values into the original function to obtain the y-values of the turning points

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  +750)) \:and \:  (0, - 6) \: and\: (   \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( - 6 \sqrt{15}  +750))

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]

f''(x) = 20 {x}^{3}  - 6x

f''( -  \frac{ \sqrt{15} }{5} ) \:   <  \: 0

Hence

(   -  \frac{ \sqrt{15} }{5}  , \frac{1}{125} ( 6 \sqrt{15}  + 750))

is a maximum point.

f''( \frac{ \sqrt{15} }{5} ) \:    >  \: 0

Hence

(     \frac{ \sqrt{15} }{5}  , \frac{1}{125} (- 6 \sqrt{15}  + 750))

is a minimum point.

f''(0) \: =\: 0

Hence (0,-6) is a point of inflexion

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3 years ago
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Veseljchak [2.6K]

Answer:

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Step-by-step explanation:

-23<7x

7x>-23

x>-23/7

the answer is x>-23/7

5 0
3 years ago
(4 x 300) + (4 x 25)
Dominik [7]

Answer:

1,300

Step-by-step explanation:

Order of operations tells us that we should do everything in parentheses first.

Multiplying out (4 x 300) and (4 x 25) gets

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From here, we add the two together to arrive at

1,300

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