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Vlada [557]
2 years ago
11

Suppose f is a function which follows this pattern, where x and h are any numbers: f(a + h) = f(a)*f(h) Which type of function i

s f?
Mathematics
1 answer:
fomenos2 years ago
8 0

f has to be a <em>power</em> function in order to satisfy the recurrence pattern f(x + h) = f(x) \cdot f(h)

<h3>Procedure - Determination of a function with a pattern.</h3>

In this case, we must assume a given function and check such assumption fulfill the given recurrence. Let suppose that f(x) = a^{x}, by algebra we have the following property:

f(x + h) = a^{x+h} = a^{x}\cdot a^{h} (1)

And by the definition given in statement, we have the following conclusion:

f(x+h) = a^{x}\cdot a^{h} = f(x) \cdot f(h) (2)

Therefore, f has to be a <em>power</em> function in order to satisfy the recurrence pattern f(x + h) = f(x) \cdot f(h). \blacksquare

To learn more on power functions, we kindly invite to check this verified question: brainly.com/question/5168688

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erastova [34]

Answer:

x =  - 23

Step-by-step explanation:

\frac{20 - (40 + x)}{12}  \times 10 = 32.5 - 30 = 2.5

=  >  \frac{20 - (40 + x)}{12}  = 0.25

=  >  \frac{20 - (40 + x)}{12}  =  \frac{1}{4}

=  > 20 - (40 + x) =  \frac{12}{4}  = 3

=  > 40 + x = 20 - 3 = 17

=  > x = 17 - 40 =  - 23

7 0
3 years ago
How do you find the surface area of a regular triangular prism
Dmitry [639]
So a triangular prisim is like a triangle stacked on top of x number of identical triangles making a height, like a piece of paper made into a stack

so
basically find the area of each side and add

look at diagram/attachment
find area of triangle
1/2 b times h= area of 1 triangular face

multiply by 2 because 2 sides so 1/2 times 2 b times h=b times h

then 3 other sides
find area of each side and add
areas=(H times B)+(H times c)+(H times a)

so SA=(b times H)+(H times B)+(H times c)+(H times a)



8 0
3 years ago
Ashley opened a lemonade stand on her street. It costs her $12.50 to buy the supplies each day, and she sells lemonade for $2.50
nasty-shy [4]

Answer:

75

Step-by-step explanation:

Subtract sales - expenses

200 - 12.5 = 187.5

2.5x = 187.5

Divide by 2.5 on both sides

187.5/2.5

x = 75

6 0
3 years ago
Andre bake some pieces he puts 24 mushrooms on veggie pizza veggie pizza has three times as many mushrooms as a sausage pizza ho
GenaCL600 [577]

Answer:

the sausage pizza has 12 mushrooms on it.

7 0
3 years ago
Please help <br> The diagram shows a 5ft student standing near a tree
Novosadov [1.4K]

Answer:

25 ft

Step-by-step explanation:

The diagram shows two triangles that are similar.  Similar triangles have equal angles and sides that are proportional to each other.  Since the base of each triangle is given, we can find the proportion of the sides:

\frac{smaller}{larger}=\frac{8}{40}=\frac{1}{5}

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:

\frac{1}{5}=\frac{5}{x}, where 'x' represent the height of the tree

cross-multiply:  x = (5)(5) or 25 ft

8 0
3 years ago
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