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Viefleur [7K]
3 years ago
14

Help please!!! Anything would be appreciated :3

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
Assuming it’s a regular polygon :225
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Find the critical points, domain endpoints, and local extreme values for the function
aliina [53]

Answer:

a) x = -3, b) x = 0, x = -6, c) x = 0, d) x = -6

Step-by-step explanation:

a) Let derive the function:

f'(x) = \frac{10\cdot x \cdot (x+3)-5\cdot x^{2}}{25\cdot (x+3)^{2}}

f'(x) is undefined when denominator equates to zero. The critical point is:

x = -3

b) f'(x) = 0 when numerator equates to zero. That is:

10\cdot x \cdot (x+3) - 5\cdot x^{2} = 0

10\cdot x^{2}+30\cdot x -5\cdot x^{2} = 0

5\cdot x^{2} + 30\cdot x = 0

5\cdot x \cdot (x+6) = 0

This equation shows two critical points:

x = 0, x = -6

c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that x = 0 corresponds to a local maximum. (See Attachment)

d) By plotting the function, it is evident that x = -6 corresponds to a local minimum. (See Attachment)

8 0
3 years ago
A parabola is the set of all points that​...
Vlada [557]

Answer:

is equidistant from a focus point and a line

3 0
3 years ago
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Solve the system of equations.<br><br> y=3x<br> y=x^2-10
puteri [66]

Answer:

y=3x.........1

y=x^2-10.......2

substituting value of eq 1 to 2

3x=x^2-10

x^2-10-3x=0

x^2-3x-10=0

x^2-5x+2x-10=0

X(x-5)+2(x-5)=0

(x-5)(X+2)=0

then

X=5 or X=-2

again

y=??

when X=5

y=3×5=15

when X=-2

y=-6

5 0
3 years ago
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The area of a square is 729 square feet.What is the length of the side?
Art [367]

To find the length of the side of a square when the area is known, find the square root of the area:


Side length = √729

Side Length = 27 feet.

7 0
3 years ago
Select all of the names of this polygon
babunello [35]

Answer: i believe its rhombus rectangle quadrilateral


Step-by-step explanation:


4 0
3 years ago
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