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Darya [45]
3 years ago
12

Describe the domain and range of y=2(3)^x-2+5

Mathematics
2 answers:
evablogger [386]3 years ago
8 0

Answer:

the domain is "the set of all real numbers."

the range of the given function is (5, infinity)

Step-by-step explanation:

This is an exponential function.  For the sake of clarity you must enclose "x - 2" inside parentheses:  f(x) = 2(3)^(x-2).  This function is defined for all real x-values, so the domain is "the set of all real numbers."  

Focusing on  (3)^x:  This has the same shape as the basic exponential y = e^x; the graph starts in Quadrant II and increases with x, more and more rapidly as you pass x = 0.  The functions y = e^x and that of y = 3^x are always positive.  Likewise in the case of f(x) = 2(3)^(x-2):  the function is always positive.  If we look at f(x) = 2(3)^(x-2) alone, we conclude that the domain is (0, infinity).  But that " + 5 " in y=2(3)^(x-2) + 5 translates the entire graph of f(x) = 2(3)^(x-2) upward by 5 units.

Thus, the range of the given function is (5, infinity).

allochka39001 [22]3 years ago
5 0

Answer:

Step-by-step explanation:

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3 years ago
The sum of two numbers that are at the ratio of 3:4 is 1001. Find these numbers.
sveta [45]

Step-by-step explanation:

x - the part

3x one part(first number)

4x second part (second number)

so u have

3x + 4x = 1001

7x= 1001

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x= 143. First number : 3x = 3• 143 = 429

Second number : 4x = 4• 143= 572

So, 429 and 572 are the numbers

3 0
3 years ago
Write the equation of the line that passes through the points
anyanavicka [17]

Answer:

The equation that passes through (−7,−3)and (−2,−1) is y=2/5x-1/5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-1)-(-3)/(-2)-(-7)

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y-y=m(x-x¹)

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7 0
3 years ago
If x-3 = 10, then x =
aalyn [17]
Add 3 on both sides
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6 0
3 years ago
Read 2 more answers
Can someone please answer this for me
kifflom [539]

Answer:

x = 7.5

y = 75

Step-by-step explanation:

if one angle of an equilateral triangle is 60 degrees (180/3) then 4x + 2x + 2x = 8x = 60, so x = 7.5

for y, we'll have to take the right triangle. we know that 2x = 15, and MON = 60, so 180 - 60 - 15 = 105.

180 - 105 will give us y, which is 75

3 0
3 years ago
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