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andrey2020 [161]
3 years ago
10

Write an exponential function in the form y=ab^x that goes through points (0,12) and (3,6144)

Mathematics
1 answer:
skad [1K]3 years ago
3 0

Given:

An exponential function goes through points (0,12) and (3,6144).

To find:

The exponential function.

Solution:

The general exponential function is:

y=ab^x           ...(i)

The function goes through point (0,12). Substituting x=0,y=12, we get

12=ab^0

12=a

The function goes through point (3,6144). Substituting a=12, x=3,y=6144 in the general exponential function, we get

6144=12b^3

\dfrac{6144}{12}=b^3

512=b^3

512^{\frac{1}{3}}=b

8=b

Putting a=12,b=8 in (i), we get

y=12(8)^x

Therefore, the required exponential function is y=12(8)^x.

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1/4+3/8+1/2+5/8+7/8
Ket [755]

Answer: 1/4+3/8+1/2+5/8+7/8

= 21/8

Hope this helps :)))

4 0
3 years ago
Read 2 more answers
Question number 3 pls
marissa [1.9K]
Factoring f(x) would give a factor (x-1-2i), so you can divide f(x) by this, leaving (x-3)(x+4)(x-1+2i), so the other roots are:

x=3
x=-4
x=1-2i

4 0
3 years ago
In the formula d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot, how does each subtraction expression relat
Rus_ich [418]

Each subtraction expression, in relation with the Pythagoras Theorem, represents the length of one side of a right-angled triangle with a hypotenuse of length d.

What is Pythagoras Theorem?

The Pythagoras Theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the remaining two sides in a right-angled triangle.

The formula for Pythagoras Theorem is given by,

h^{2}=a^{2} +b^{2}

Here, h is the hypotenuse, a and b are the two legs of the right-angled triangle.

Each Subtraction in view of Pythagoras Theorem

It is is given that,

d =\sqrt{(x_{2} - x_{1} )^{2}+(y_{2} -y_{1} )^{2}  }

or  d^{2}  =(x_{2} - x_{1} )^{2}+(y_{2} -y_{1} )^{2}

Therefore, d is the hypotenuse and each subtraction term represents one leg of the right-angled triangle in accordance with the Pythagoras Theorem.

Learn more about Pythagoras Theorem here:

brainly.com/question/343682

#SPJ4

8 0
2 years ago
Can someone help I don't know how to answer this?!?!
Vladimir [108]

sounds like you need a question!!!

6 0
3 years ago
Read 2 more answers
Help please! I cant do this
vova2212 [387]
Let's solve the inequality.

x - 5 >= -2

Add 5 to both sides:

x >= 3

The solution of the inequality is the number 3 and all numbers greater than 3.

Since the inequality symbol is "greater than or equal to" which includes "equal to", draw a solid dot on 3. Because of the "greater than" part, you need numbers greater than 3, so color to the right of 3.

The correct answer is choice B.
7 0
3 years ago
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