Answer:
i got 178
Step-by-step explanation:
Answer:
15 initially, 92 after 10 years
Step-by-step explanation:
exactly 92.87 but there can't be <em>part </em>of an elk.
Using translation concepts, the absolute value function with these characteristics is given by:
f(x) = |x - 2| + 4.
<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 either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
And has vertex at (0,0).
With the vertex at (2,4), we have that:
- The function was shifted 2 units right, hence x -> x - 2.
- The function was shifted 4 units up, hence f(x) - > f(x) + 4.
Hence the absolute value function with these characteristics is given by:
f(x) = |x - 2| + 4.
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
Answer:
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
Step-by-step explanation:
Given;
The height equation of the rock;
h = -16t^2 +20t +5
To determine whether it would reach 30 ft, we need to find its maximum height. Which is at;
dh/dt = 0
dh/dt = -32t +20 = 0
At Maximum height.
t = 20/32
We then substitute into the height equation.
h(max) = -16(20/32)^2 + 20(20/32) +5
h(max) = 11.25 ft
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
9514 1404 393
Answer:
C. 4 +√(x+5)
Step-by-step explanation:
The sign between the terms changes to form the conjugate. The radical contents are unchanged.
The conjugate of 4 -√(x+5) is 4 +√(x+5).
_____
<em>Additional comment</em>
The utility of a conjugate is that the product of a number and its conjugate is the difference of two squares. The squares are intended to remove an undesirable feature of the number, its imaginary part or its irrational part, for example. Here, the product of the number and its conjugate would be ...
(a -b)(a +b) = a² -b²
4² -(√(x+5))² = 16 -(x +5) = 11 -x . . . . no longer contains a root