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Masja [62]
3 years ago
12

Which of the following are polynomial functions?

Mathematics
2 answers:
Vinil7 [7]3 years ago
4 0

A polynomial function is a function involving only non-negative (positive and 0) integer powers of 'x', i.e. all terms with ' 'x' have a non-negative integer power, such as a quadratic x^{2} x^{3} and so on.

Option E is the answer.

Rest all are wrong answers. they do not have positive integers.                      

Leto [7]3 years ago
4 0

Answer: Options C, D and E

Step-by-step explanation:

A polinomial function that only involves non-negative integer powers of the variable. so they have the form

a*x^n + .... g*x^1 * h

where a, g, h are constants.

In the first option, you can see that you have a 2/x term, so this has a negative power of x, then this is not a plynomial function.

The second option has a square root, that is defined as a x^(1/2) which is not an integer power, so this option can be discarded.

The other 3 options are polynomial functions.

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6. Calculate the area of the octagon in the<br> figure below.
Kryger [21]

Answer:

41\text{ [units squared]}

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

  • 4 triangles (corners)
  • 3 rectangles (one in the middle, two on top after you remove triangles)

<u>Formulas</u>:

  • Area of rectangle with length l and width w: A=lw
  • Area of triangle with base b and height h: A=\frac{1}{2}bh

<u>Area of triangles</u>:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}

The area of all four is then 2\cdot 4=8 units squared.

<u>Area of rectangles</u>:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of 3\cdot 2=6 units squared, and the both of them have a total area of 6\cdot 2=12 units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of 7\cdot 3=21 units squared.

Therefore, the area of the entire octagon is 8+12+21=\boxed{41\text{ [units squared]}}

4 0
3 years ago
The formula for the surface area, S, of a cylinder, is S = 2tr2 + 2trh, where h is
kykrilka [37]

Answer:

H = 2        S = 50    A = 50.2

Step-by-step explanation:

A=2πrh+2πr2

S = 2tr2 + 2trh

S = 2 (t x r) + (h x 2t) x r   Try out ^2 for Radius

S = 2t x r^2 + r x h x 2t  Rearrange back and cross out for square^2

S = 6t x 4 + 6t x r x h Cross out for t

S = 6 x 4 + 6 x 2 x h  Balance out...

S= 24 + 12 x 2    Find h = 2

S = 36 + 24

S=  50 sq2

A = 50. 2

R = 2

H = 2  

Checker

Area = 6.28318530718 x 4 + 6.28318530718  x 2 x 2 = 50.27sq2

7 0
3 years ago
Tarik filled his tank with 11 gallons of
kompoz [17]
I think the answer is he payed $3.40
3 0
2 years ago
6th grade math plz help me
anastassius [24]
1) 8 41/48
2) 9 16/27
3) 41 2/5
4) 13 55/63
hope this helps x
3 0
3 years ago
THe equation of the graph line is 2x-3y=12 what is the x-intercept of the graph
katrin2010 [14]

2x-3y=12


Make y substitute 0


2x-3(0)=12


2x= 12


X= 12-2


X= 10


X-intercept is 10

5 0
3 years ago
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