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Taya2010 [7]
2 years ago
14

Determine the domain and range in the function, f(x)=abx f(x)=ab^x , when a =1/4 and b=16.

Mathematics
1 answer:
Crank2 years ago
4 0
The domain is infinite and the range is 0 (possibly infinite as well).
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Solve for x<br> 4x – 4&lt;8<br> AND<br> 9x +5 &gt; 23
Leno4ka [110]

Answer:

x<3 AND x>2

Step-by-step explanation:

First, 4x-4<8. Adding 4 to both sides, 4x<12, and dividing by 4, x<3.

Next, 9x+5>23. Subtracting 5 from both sides, 9x>18, and dividing by 9, x>2.

Therefore, x<3 AND x>2.

4 0
3 years ago
The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
11111nata11111 [884]
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%

With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.

(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
8 0
3 years ago
The sum of two numbers is 61 and the difference is 17 . what are the numbers?
prohojiy [21]
The two numbers are 39 and 22
6 0
3 years ago
So I don't if I'm right help would be much appreciated
lukranit [14]

Answer:

A is the correct equation

Step-by-step explanation:


3 0
3 years ago
Which of the following is algebraically equivalent to the sum of 4x^2 -8x +7 And 3x^2-2x-5
VARVARA [1.3K]

All you have to do, is combine like terms. Let's go through it:

(4x^2-8x+7)+(3x^2-2x-5)

Arrange it so you can easily combine like terms:

4x^2+3x^2-8x-2x+7-5 = 7x^2-10x+2

So, your answer for the sum is 1) 7x² - 10x + 2

5 0
3 years ago
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