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irina1246 [14]
4 years ago
17

The graph of f(x) = 6(0.25)x and its reflection across the y-axis, g(x), are shown. On a coordinate plane, 2 exponential functio

ns are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y -axis at (0, 6). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 6). What is the domain of g(x)? all real numbers all real numbers less than 0 all real numbers greater than 0 all real numbers greater than or equal to 0
Mathematics
2 answers:
kow [346]4 years ago
9 0

Answer:

Domain is all real no. of x

Step-by-step explanation:

f(x) = 6(0.25^x)

Is defined for all real no.s of x

g(x) is a reflection of f(x) along the y-axis:

g(x) = -f(x) = -6(0.25^x)

Also defined for all x

Oduvanchick [21]4 years ago
5 0

Answer:

Step-by-step exAnswer:

The range of g(x) will be all real numbers less than zero.

Step-by-step explanation:

The graph of  and its reflection across the x-axis, g(x), are given.

Now, another function g(x) will be given by  ............ (1)

Since by reflection across the x-axis the curve will change its y-value only by sign and the x-value remains the same.

Now, g(x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0,-0.5) and goes through (2,-3).

Therefore, the range of the equation (1) will be all real numbers less than zero. (Answer)

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Korvikt [17]
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of  golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
 byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
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7 0
4 years ago
The air pressure inside Jason's bike tires decreases by about 6% each week. The original pressure was 45 pounds per square inch
Fudgin [204]
Lets do this week by week 
beginning pressure 45 pounds 
end of week 1 
45 *.06 = 2.7
45 - 2.7 = 42.3
end of week 2 
42.3 * .06 = 2.538
42.3 - 2.538 = 39.762
end of week 3 
39.762 *.06 = 2.38
39.762 -  2.38 = 37.37
end of week 4
37.37* .06 = 2.2425
37.37628 - 2.2425= 35.12
end of week 5
35.12 * .06 = 2.107
35.12 - 2.107 = 33.012
end of week 6 
33.012* .06 = 1.98
33.012 - 1.98 =31.03

Here is the fast way to get to this answer. 
do 1-.06 = .94

then do 
45(.94)(.94)(.94)(.94)(.94)(.94)  = 31.04 


8 0
4 years ago
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