A rate that describes how much smaller or larger the scale drawing is than the real object

Identify the relative maximum value of g(x) for the function shown below g(x)=7/x^2+5

Liula [17]

To find t<span>he relative maximum value of the function we need to find where the function has its first derivative equal to 0.

Its first derivative is -7*(2x)/(x^2+5)^2
</span>7*(2x)/(x^2+5)^2 =0 the numerator needs to be eqaul to 0
2x=0
x=0

g(0) = 7/5

The <span>relative maximum value is at the point (0, 7/5).</span>

8 0

1 year ago

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PI-3.

Fudgin [204]

Answer:

A. $301

B. $721

Step-by-step explanation:

Let $x be the amount of money they raised.

Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then

$x=2q_1+1$

Polly tried to put the $1 bills into three equal piles and found one left over at the end, then

$x=3q_2+1$

Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then

$x=4q_3+1\\ \\x=5q_4+1\\ \\x=6q_5+1$

Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then

$x=7q_6$

This means $x-1$ is divisible by 2, 3, 4, 5 and 6 without remainder, so

$x-1=2\cdot 3\cdot 2\cdot 5n=60n$

Hence,

$x=60n+1, \ n\in N$

The smallest amount of money they could have raised is $301, because

$x=60\cdot 5+1=301$ is divisible by 7.

Now, the number $x=60n+1$ should be divisible by 7 and must be greater than 500.

So,

$60n+1>500\\ \\60n>499\\ \\n>8$

When n = 9,

$x=60\cdot 9+1=541$ is not divisible by 7.

When n = 10,

$x=60\cdot 10+1=601$ is not divisible by 7.

When n = 11,

$x=60\cdot 11+1=661$ is not divisible by 7.

When n = 12,

$x=60\cdot 12+1=721$ is divisible by 7.

B. The least amount of money they could have raised is $721

7 0

2 years ago

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On a state map, a cartographer plots Texmath at coordinates (2, 2) and Lonestar Village at coordinates (9, 16). How far is it fr

Digiron [165]

Since two points are given, we can use the distance formula in order to know hpw far is it from Texmath to Lonestar Village. Distance formula is written as

Distance = $\sqrt{ ( x_{2} - x_{1} )^{2} +(y_{2} - y_{1} )^{2} }$

Substituting the values, we have:

Distance = $\sqrt{ ( 9-2 )^{2} +(16-2)^{2} }$

= $\sqrt{7^2 +14^2}$

= √245 = 15.65 units

7 0

2 years ago

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Describe the rays of an angle that measures 1/2 turn

topjm [15]

Angles are measures of turn. A complete turn is called a perigon angle or full angle which measures 360°. A half (1/2) turn is called a straight angle, because it looks like a straight line with a dot (the vertex) in the middle, its measure is 180°. The rays are the two halves of a line and they point in opposite directions.

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2 years ago

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The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much

Tpy6a [65]

Please provide table or else i can't calculate!
Answer: is ) $0.60 cents.

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2 years ago

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