Using translation concepts, it is found that the correct statement about h(x) is:
The function is decreasing on the interval (0, ∞).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
Which is increasing on (0, ∞).
After the translation, the function is:
It was multiplied by a negative number, which means that it was reflected over the x-axis, and it will be decreasing on the interval (0, ∞).
More can be learned about translation concepts at brainly.com/question/4521517
Answer:
Step-by-step explanation:
Formula
Sn = (a + a + (n - 1)*d) * n / 2
Givens
Sn = 60
a = 3
Solution
You want integer values for d and n
60 = (2*a + (n - 1)*d) * n/2 Multiply both sides by 2
120 = (2*3 + (n - 1)*d ) * n
120 = (6 + n*d - d) * n
120 = 6n + n^2*d - d*n
This gives some really wild results. I will list all of them here. and then discuss them.
These are the ones that give results without any question and are correct.
n d tn
2 54 3 57
3 17 3 20 37
4 8 3 11 19 27
Here are some that are the gift of the equation
20 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
Now the equation says the following 3 are correct, but are they? Can you have a negative n? The equation says yes, but I doubt your instructor will.
-5 5
-1 63
-2 22
You can bring these up if you are in a classroom. I wouldn't if you have to submit this to a computer which has absolutely no ability whatever to think about exceptions. Even the 20 0 is one I wouldn't use.
Yikes... my answer is in the comments because I didnt realize. All you have to do is take the formula of a circles area and substitute the area and basically work backwards. I got the radius is the square root of 1
Answer:
0.3125
Step-by-step explanation:
When a fair coin is tossed we find that
there are only two outcomes
Each toss is independent of the other
Hence if Xis no of heads then X is binomial with n = 5 and p = 0.5
Using binomial formula we can find probability for getting 3 heads exactly.
Required probability
= P(X=3)
=
Multiply 2/3 by 3/8:
(2*3/3*8 = 2/8 = 1/4)
Jennifer ate a quarter pound of berries.