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2 years ago

2

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

3 0

Answer:

option c. 2

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What vertex does the quadrilateral and the pentagon share?

Leokris [45]

It equals the middle

7 0

4 years ago

Find the value of x... assume segments that appear tangent are tangent.

steposvetlana [31]

Answer:

x=12

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

25 + b^2 = 169

b^2= 144

b=12 Therefore,

x=12

5 0

3 years ago

A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i

steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

$C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)$

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

$-5x^3+6x^2+15x -14=0\cdots(ii)$

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

$(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0$

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

$-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849$

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

4 0

3 years ago

Given the exponential growth equation y = 50(1.6)^x what is the initial value?

german

Answer:

50 is the initial value

Step-by-step explanation:

The equation is of the form

y = ab^x where a is the initial value and b is the growth/decay value

b>1 is growth and b<1 means decay

y = 50(1.6)^x

50 is the initial value and 1.6 means growth since it is greater than 1

1.6 -1 = .6 so it has a 60% growth rate

8 0

3 years ago

If old reeses cost $6 for a 12 pack and new reeses cost $1/pack, by what percent did the cost of reeses increase?s

skad [1K]

Answer:

Step-by-step explanation:

6 dollars for a 12 pack means that it was $0.50 each. now they cost a dollar per pack. it's a 50 cent increase, or a 100% percentage increase

8 0

3 years ago