The functions could represent g(x) is B. 
<h3>How can the function be determined?</h3>
Using the general equation 
The g(x) has intercept of y=-2,
Then the y-intercept of f(x) is at y=3
If we find the difference between both y-intercepts, we have
( -2 -3) = -5
Then b=-5
Hence, is correct.
Learn more about the transformation at
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Answer: The standard deviation was calculated incorrectly.
Step-by-step explanation:
- The standard deviation measures the dispersion of the data values from the mean value.
It cannot be negative , because it is the square root of the variance .
We add all squared deviations from the data points away from the mean and (then divide it by the number of data values) to evaluate variance.
Since , any squared number cannot give a negative result.
⇒ Standard deviation cannot be negative.
⇒The standard deviation was calculated incorrectly.
Rest other things (given in options) can not be interpreted on the basis of given information.
Answer:
The correct answer is option 3
2⁻¹⁰ and 1/1024
Step-by-step explanation:
Points to remember
1). ( xᵃ)ᵇ = xᵇ
2). x⁻ᵃ = 1/xᵃ
It is given that, (2⁵)⁻²
<u>To find the equivalent of (2⁵)⁻²</u>
(2⁵)⁻² = 2⁻¹⁰
<u>To find the value of 2⁻¹⁰</u>
2⁻¹⁰ = 1/2¹⁰
2¹⁰ = 1024
1/2¹⁰ = 1/1024
Therefore the correct answer is 3rd option
2⁻¹⁰ and 1/1024
Answer:
y=1/2×2-1
Step-by-step explanation:
x2 – y = 0 yields a parabola.
y = x is straight but has a slope to make it increase/decrease.
2y = x2 yields a parabola.
x2 = 0 yields a parabola.
Answer:
a)
a1 = log(1) = 0 (2⁰ = 1)
a2 = log(2) = 1 (2¹ = 2)
a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849
a4 = log(4) = 2 (2² = 4)
a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322
a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)
a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807
a8 = log(8) = 3 (2³ = 8)
a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )
a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322
b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:
log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that
a1 = 1
a2 = 2
a3 = 3
a4 = 4
a5 = 5
a6 = 6
a7 = 7
a8 = 8
a9 = 9
a10 = 10
I hope this works for you!!
