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3 years ago

SOMEONE PLZ HELP ME ON THIS PROBLEM!!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!!

Mathematics

2 answers:

STALIN [3.7K]3 years ago

6 0

Answer:

<h2> D. </h2><h3>They have different y-intercepts but the same end behavior</h3>

Step-by-step explanation:

Let's name the function from graph: f

for f:

y-intercept = f(0) = 4

for x → ∞, f(x)→2

for g:

y-intercept = f(0) = 4(¹/₄)⁰+2 = 4•1+2 = 4+2 = 6 ≠4

f(1) = 4(¹/₄)¹+2 = 4•¹/₄+2 = 1+2 = 3

f(2) = 4(¹/₄)2+2 = 4•¹/₁₆+2 = ¹/₄+2 = 2¹/₄

f(3) = 4(¹/₄)³+2 = 4•¹/₆₄+2 = ¹/₁₆+2 = 2¹/₁₆

f((5) = 4(¹/₄)⁵+2 = 4•¹/₁₈₂₄+2 = ¹/₅₁₂+2 = 2¹/₅₁₂

....

so for x x → ∞, f(x)→2

NeX [460]3 years ago

4 0

Answer:

Step-by-step explanation:

End behaviour refers to the asymptotes, which both exponential functions have the same one at y = 2. However, they have different y - intercepts. The first one has a y - intercept of 4 and the second one has a y - intercept of 6. Thus, the answer is D.

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Use the following information to complete parts I, II, and III. 1 hour=3600 seconds

icang [17]

Answer:

I) There are $8.760\times 10^3$ hours in 1 year.

II) The exact number of hours in one year is $8.76582\times 10^3$ hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I) Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

$n=24\times 365$

$n=8760$

In scientific notation,

$8760=8.760\times 10^3$

So, there are $8.760\times 10^3$ hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

$n=\frac{31556952}{3600}$

$n=8765.82$

In scientific notation,

$8765.82=8.76582\times 10^3$

So, the exact number of hours in one year is $8.76582\times 10^3$ hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

The exact numbers of hours using 365 days is 8760 which is written as $8.760\times 10^3$ in scientific notation but using the given data we get $8.76582\times 10^3$ hours.