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hichkok12 [17]
3 years ago
15

Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?

Mathematics
2 answers:
uysha [10]3 years ago
6 0

Calculista · Quality Assurance - seems pretty accurate i was looking at their answer and he went as far as actually graphing it out for everyone... it shure as **** helped me not get confused. Thanks  Calculista you got big brain lol!

Montano1993 [528]3 years ago
4 0

Answer:

The graph of his initial step in the attached figure

Step-by-step explanation:

we have

f(x)=3(4)^{x}

This is a exponential function of the form

y=a(b)^{x}

where

a is the initial value

b is the base

r is the rate of change

In this problem

a=3 ---> the initial value ( value of the function when the value of x is equal to zero)

b=4

b=1+r ----> 4=1+r ----> r=3 ---> r=300%

therefore

The initial value is the point (0,3)

The graph of his initial step in the attached figure

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The rectangle below has an area of 70 square meters.
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Answer:

The side lengths are 10 by 7

Step-by-step explanation:

The area of a rectangle is

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70 = (x - 11)(x - 8)

FOIL

70 = x^2 -8x-11x+88

Combine like terms

70 = x^2 -19x +88

Subtract 70 from each side

0 = x^2 -19x +88-70

0 = x^2 -19x+18

Factor

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-18*-1 =18

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0=(x-18)(x-1)

Using the zero product property

x-18=0   x-1=0

x=18   x=1

But x cannot x=1 because then the side lengths would be negative

x-18 = 10

x-11 = 7

The side lengths are 10 by 7

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