It is a vertical stretch.
<h3>What is functions?</h3>
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Given
To solve this problem you must apply the procedure shown below:
1. You have the following parent function given in the problem above:
f(x) = √x
2. And you have the function g(x) = √3x
3. By definition, if you have the function y = ax and |a| > 1 it is a vertical stretch.
4. Therefore, you have that:
|a| = √3
√3 > 1
Therefore the answer is: It is a vertical stretch.
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Answer:
The required expression is f = 3+6t
Step-by-step explanation:
Let t represent number of tens
Let f represent number of fives
So, the expression for number of fives can be formed by using:
The number of fives is 3 more than six times the number of tens.
f = 3+6t
So, the required expression is f = 3+6t
The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph
<h3>
Speed</h3>
Speed is the ratio of total distance to total time taken. It is given by:
Speed = distance / time
Let a represent the speed of the first runner and b for the second runner. Hence:
a = (4/5)b
After 30 minutes (0.5 hour), the runners are 2 miles apart, hence:
a = d₁ / 0.5
d₁ = 0.5a
Also:
b = d₂/0.5
d₂ = 0.5b
d₁ + d₂ = 2, hence:
0.5a + 0.5b = 2
0.5(4/5)b + 0.5b = 2
b = 2.22 mph
a = (4/5) * 2.22 = 1.78 mph
The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph
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