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gogolik [260]
1 year ago
11

It is required that the production cost must be less than R123 505. Determine the number of devices that will be produced. Show

your solution graphically. Use interval notation and indicate the restriction on the number type of you answer. Interpret your answer
Mathematics
1 answer:
S_A_V [24]1 year ago
6 0

Answer:

The production cost is an illustration of a quadratic function

The equation of the production cost is y=ax^2+bx-c

How to determine the equation

From the complete question, we have the following parameters:

  • Computing components (a)
  • Number of devices (x),
  • Labor (b)
  • Savings on reusable material (c)

Using the instructions in the complete question, the equation of the production cost would be: y=ax^2+bx-c

Hence, the production cost is y=ax^2+bx-c

When the production cost is less than 123,505

The equation becomes

ax^2+bx-c < 123,505

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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).

the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.

8 0
2 years ago
Determine whether the statement is true or false. Justify your answers.
marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

  • If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

  • That means reflection about the x-axis change the sign of y
  • y = f(x) → reflection about x-axis → y = -f(x)

  • If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

  • That means reflection about the y-axis change the sign of x
  • y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0
3 years ago
Bob can draw 14 shapes in 7 minutes.how long does it take bob to draw 28 shapes at the same rate
miss Akunina [59]
It will take 14 minutes.
5 0
2 years ago
Read 2 more answers
I need help plotting before 7:00.
Lemur [1.5K]

J: (4,0)

M:(-1,1)

E:(4,-1)

X:(1,0)


5 0
3 years ago
Please help brainlist. &lt;3
sertanlavr [38]

Answer:The graph line has to go  through the origin in order for it to be proportional .In a proportional relationship, one variable is always a constant value. Only have 2

Step-by-step explanation:

4 0
3 years ago
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