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o-na [289]
4 years ago
5

Write the output when the input is n input 1 7 8 n output 3 21 24 _

Mathematics
1 answer:
Ugo [173]4 years ago
5 0

Answer:

3n

Step-by-step explanation:

Looking at other pairs, we know that the output is 3 times the input.

So, the output is 3n when the input is n

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Write an exponential function y = abx for a graph that includes (–3, 16) and (–1, 4) f(x) = 2(0.5)x f(x) = 0.5(2)x f(x) = 4(0.3)
Arisa [49]

Answer: f(x)=2(0.5)^x

Step-by-step explanation:

Given, the exponential function y = ab^x for a graph that includes (–3, 16) and (–1, 4).

On putting these points, we will have

f(-3)=16=ab^{-3}\\\\ f(-1)=4=ab^{-1}

Now,

\dfrac{f(-3)}{f(-1)}=\dfrac{16}{4}=\dfrac{ab^{-3}}{ab^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b^{-3}}{b^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b}{b^3}=\dfrac{1}{b^2}\\\\\Rightarrow\ b^2=\dfrac{1}{4}\\\\\Rightarrow\ b=\pm\dfrac{1}{2}=\pm0.5

since the multiplicative factor cannot be negative, so b= 0.5.

At b= 0.5

4=a(0.5)^{-1}\\\\\Rightarrow\ 4=a(\dfrac{1}{2})^{-1}\\\\\Rightarrow\ 4=a(2)\\\\\Rightarrow \ a=2

So, the required function is f(x)=2(0.5)^x.

3 0
4 years ago
Which angles are alternate interior angles​
yawa3891 [41]

Answer:

angle NOR and SRO

Step-by-step explanation:

7 0
3 years ago
Determine whether the function f(x) = -2x - 5x is even, odd, or neither.
Shtirlitz [24]

Answer: odd

Step-by-step explanation:

A function is even if for any input value x and -x there is the same output value y. In other words, a function is even if:

f (-x) = f (x)

A function is odd if it is true that:

f (-x) = -f (x)

Then we must test if f(-x) = f(x) for the function: f(x)=-2x - 5x

f(-x)=-2(-x) - 5(-x)

f(-x)=2x + 5x

So f(-x) \neq f(x)

The function is not even

Now we must test if f (-x) = -f (x) for the function.

f(-x)=-2(-x) - 5(-x)

f(-x)=2x + 5x

f(-x)=-(-2x -5x)  and  f(x)=-2x - 5x

So f(-x) = -f(x)  

Finally the function is odd

7 0
4 years ago
A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.
emmainna [20.7K]

Answer:

The area of the kite is 27.6 cm²

Step-by-step explanation:

Given;

dimension of the equilateral triangle, = 6 cm

dimension of the isosceles triangle = 5 cm

Please check the image uploaded for a detailed solution.

3 0
3 years ago
A train from Chicago to
stellarik [79]

Answer:

80 miles per hour

3 0
3 years ago
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