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Mathematics

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Angelina_Jolie [31]2 years ago

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I think it’s a carrot

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Suppose f is a function with exponential growth and f(0)=1. Explain why f can be represented by a formula of the form

galben [10]

We are supposed to explain why the given function can be expressed in form $f(x)=b^{x}$ , when $f(0)=1$ .

Since the given function is an exponential function we can express it as $f(x)=a(b)^{x}$ .

Now let us substitute x=0 in the given function,

$f(x)=b^{x}$

$f(0)=b^{0}$

$f(0)=1$

Let us substitute x=0 in our function.

$f(0) = a(b)^{0}$

$f(0) = a\cdot 1$

$f(0)=a$

Upon substituting a=1 in our function we will get,

$f(x) = 1(b)^{x}$

$f(x) =(b)^{x}$

Therefore, our function f can be represented by the formula of the form $f(x)=b^{x}$ .

7 0

2 years ago

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Which is the solution set of the inequality 15y-9 < 36?

Kipish [7]

15y<36-9 ==>15y<27

y<27/15 ==>y<9/5

answer is B

6 0

2 years ago

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The circumference of C is 72 cm. what is the length of arc AB (the minor arc)? The center angle is 45

Nat2105 [25]

The arc length is given by:
2πr(theta)/360
given the circumference is 72 cm, the arc length will be:
AB=45/360*C
AB=45/360*72
AB=9 cm
the answer is 9 cm

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2 years ago

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A teacher has a 2-gallon (32-cup) container of juice. She gives each student 1/2 cup of juice. Which equation represents the amo

charle [14.2K]

Y = 32 - 1/2x

example : lets say that there r 30 students.....x = 30
y = 32 - 1/2(30)
y = 32 - 15
y = 17 cups......so 17 cups remain

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2 years ago

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Each batch of Blueberry Breakfast Treats will make 12 muffins. Mrs. Penney wants to make enough muffins for each of the 35 stude

eduard

12x3 equals 36 so she would get 1 for herself and one for every student if she made 3 batches

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2 years ago

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