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galina1969 [7]
3 years ago
6

The owner of a resale shop is analyzing the revenue for the year. Profit is modeled by the function p(x) = x² – 14x + 485, where

p(x) represents profit and x represents the number of items sold. How many items must he sell in order for his profit to be $605?
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0

Answer:

20

Step-by-step explanation:

We first plug in 605 for p(x)

605 =  {x}^{2}  - 14x + 485

We then equal equation to zero

{x}^{2}  - 14x + 485 - 605 = 0

Factor

(x + 6)(x - 20)

Set each factor equal to zero and solve

x = -6

x = 20

We then select the positive answer because we can't sell negative items.

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iogann1982 [59]
( y1 - y2 ) / ( x1 - x2 )
In this case, I calculated it to be 12/10, or 6/5
Next, we choose a point to use in our formula. I'll use point E since it does not have any negative signs. 
The final slope-intercept equation is then:
y - 8 = 6/5 * ( x - 4 )

4 0
3 years ago
If the perimeter of a triangle is 31 ft and two of the side lengths are 15 ft and 10 ft, what is the length of the third side?
erastovalidia [21]

Answer:

C) 6 ft

Step-by-step explanation:

Perimeter is just adding the side lengths together so...

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3 0
3 years ago
Read 2 more answers
1. Find the value of x.<br><br> A. 90<br> B. 80<br> C. 60<br> D. 45
tia_tia [17]

Answer:

A 90

Step-by-step explanation:

multiple ways to prove this.

e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.

another way

imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.

the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.

that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).

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8 0
3 years ago
Can someone please help me with this question?
liq [111]
To get the solution we are looking for we need to point out what we know.
1. We assume that 55 is 100% because its the output value of the task.
2. We assume that the x is the value we are looking for. 
3. If 100% = 55 so we can write it down as 100%=55 
4. We know that x% = 44 of the output value so we can write it as x%=44.
5. Now we have two simple equations: 1) 100%=55 2) x%=44 where left sides of both of them have the same units and both right sides have the same units so we can do something like that 100%/x%=55/44.
6. Now we just have to solve the simple equation and we will get the answer.
7. Solution for 44 is what percent of 55 100%/x%=55/44 (100/x)*x=(55/44)*x we multiply both sides of the equation by x 100= 1.25*x we divide both sides of the equation by (1.25) to get x 100/1.25=x 80=x now we have: 44 is 80% of 55! 

Quick answer = 44 is 80% of 55
Hope this helps! ;D
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ololo11 [35]
How to solve ; -3m + 18 - 4 = 14. that equals -3m+14
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