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hammer [34]
3 years ago
12

for the function Y=3(3/4)^x , identify the Y-intercept and determine whether it is increasing or decreasing

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.Intervals of increasing, decreasing or constant ALWAYS pertain to x-values. Do NOT read numbers off the y-axis. Stay on the x-axis for these intervals! Intervals of Increasing/Decreasing/Constant: Interval notation is a popular notation for stating which sections of a graph are increasing, decreasing or constant.A function f(x) increases on an interval I if f(b) ≥ f(a) for all b > a, where a,b in I. If f(b) > f(a) for all b>a, the function is said to be strictly increasing.The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

I hope this helps

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the length of a rectangle is 3 cm longer than it’d width. if the perimeter of the rectangle is 38, find it’s area.
lora16 [44]

Answer:

88 cm²

Step-by-step explanation:

w = x

l = x + 3

P = 38

We know that P=2l+2w, so we substitute known values:

P=2l+2w\\38=2(x+3)+{2(x)}\\38=2x+6+2x\\38=4x+6\\32=4x\\8=x

Therefore, we know that the width (x) is 8 cm and the length (x + 3) is 8 + 3 = 11 cm. To verify, we can check that the perimeter equals 38:

8 + 11 + 8 + 11 = 38. <em>Check.</em>

Thus, the area of the rectangle is:

A=l\times{w}\\A=11\times{8}\\A=88

Therefore, the area is 88 cm².

7 0
4 years ago
What is the variance of the data 9, 7, 7.5, 7.5, 7, 8, 5, 6, 7.5, 8?0
AlladinOne [14]
If your last value in your data is 80 then i think your answer would be 478.4725
6 0
4 years ago
Am I correct on number 3
mrs_skeptik [129]
Yes your correct tttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
                                                                               
4 0
4 years ago
Expand 4(-2y+ 3).<br> 2y+7<br> 0:-8 y + 12<br> 2 y + 12<br> -8 y+ 3
stepan [7]
It is -8y+12
You have to multiply 4 by -2 which equals -8
Then you do 4x3 which equals 12
8 0
3 years ago
The diameter of Mercury is approximately 4.9×103 kilometers. The diameter of Earth is approximately 1.3×104 kilometers. About ho
-Dominant- [34]
Hi there!

To get the answer to this question, let's divide the diameter of the Earth by the diameter of Mercury.

\frac{1.3*10^4}{4.9*10^3}

We can change this to

\frac{1.3}{4.9}*\frac{10^4}{10^3}

Let's solve for each individual fraction

\frac{1.3}{4.9} ≈ 0.27

\frac{10^4}{10^3} = 10

Now, multiply.

0.27 * 10 = 2.7

That's your answer.

Have an awesome day/night! :)

~collinjun0827, Junior Moderator
5 0
3 years ago
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