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Anarel [89]
3 years ago
14

Find the increasing functions. Then arrange the increasing functions in order from least to greatest rate of change. (not all of

the functions will be used)
y= 5/2x + 10
y= -1/2x + 1/2
y= 3/2x - 11/2
y= 1/2x - 2
y= 4/3x - 7/3
y=3/4x - 10
Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

Answer:

to a function is increasing we have to find the slope of the function

the higher the slope the faster the growth

Step-by-step explanation:

  • slope = 5/2. which is 2.5
  • slope 2 = -1/2 which is -0.5
  • slope 3 = 3/2 which is 1.5
  • slope 4 = 1/2 which is 0.5
  • slope 5= 4/3 which is 1.33
  • slope 6 = 3/4 which is 0.75

so the function in increasing order

y= -1/2x + 1/2

y= 1/2x - 2

y=3/4x - 10

y=4/3x -7/3

y=3/2x-11/2

y=5/2x +10

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galben [10]

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

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Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

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4 years ago
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Answer with explanation:

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Hey there

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Multiply<span> each </span>term<span> by </span><span>1 / 0.768</span><span> and simplify.
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3 years ago
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