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miskamm [114]
3 years ago
7

How are the functions f(x) = 16* and 19(x) = 161/2 related?

Mathematics
1 answer:
trapecia [35]3 years ago
3 0

Answer:

F(x) = 16^x = 8^2x

g(x) = 16^1/2x = 8^x

So you can see the relationship. They are all of the type a^bx form, with same base of a, f(x) will have larger increasing rate.

Step-by-step explanation:

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Can you please help me solve this equation? x+9−3≤14
aleksley [76]
X+9-3≤14

Add 3 to the other side. (do the inverse of subtraction)

x+9≤17

Subtract 9 on both sides. (the inverse of addition)

x≤8

I hope this helps!
~kaikers
5 0
3 years ago
assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?
Juliette [100K]

9514 1404 393

Answer:

  8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

  1.012^500

The number of doublings is the solution to ...

  2^n = 1.012^500

Taking logarithms, we have ...

  n·log(2) = 500·log(1.012)

  n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

3 0
3 years ago
Suppose that you are holding your toy submarine under the water. You release it and it begins to ascend. The graph models the de
Likurg_2 [28]

Answer:

Domain :  0 ≤ t ≤ 3

Range :   -4 ≤ d ≤ 0

Step-by-step explanation:

The graph attached models the depth of submarine as a function of time.

Points on x-axis represent the time and points on y-axis represent increase in height of the submarine.

Domain of a function is represented by the points on x-axis.

Therefore, Domain :  0 ≤ t ≤ 3

Range of function is represented by te points on y-axis.

Therefore, Range :   -4 ≤ d ≤ 0

3 0
3 years ago
How many twenty-fourths would five sixths equal
qwelly [4]
n\cdot \frac { 1 }{ 24 } =\frac { 5 }{ 6 } \\ \\ 24\cdot n\cdot \frac { 1 }{ 24 } =\frac { 5 }{ 6 } \cdot 24

\\ \\ n=\frac { 5 }{ 6 } \left( 20+4 \right) \\ \\ n=\frac { 100 }{ 6 } +\frac { 20 }{ 6 } \\ \\ n=\frac { 120 }{ 6 } \\ \\ n=20

The answer you are looking for is 20.
4 0
3 years ago
Read 2 more answers
Parallel to y=4x+2,y intercept at 4
seraphim [82]

Answer:

<h2>y = 4x + 4</h2>

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

Parallel lines have the same slope.

We have y = 4x + 2 → m = 4.

The slope of parallel line is m = 4 and the y-intercept b = 4.

Therefore we have the equation of a line:

y=4x+4

4 0
3 years ago
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