Answer:
4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
The max/ min of the function is the value of k
f(x) = (x - 2)² + 4 ← is in vertex form
with (h, k) = (2, 4 ) → k = 4
Thus minimum occurs at 4
Answer:
B
Step-by-step explanation:
4x + 2y = 3
(send 2y to the right and 3 to the left)
4x - 3 = -2y
(divide everything by -2)
(4x)/(-2) - 3/(-2) = y
So now we have a function which is like
y = ax + c
c = the y value of intersection point of the equation and the y-axis
a = amount of increase in y values per x value
so in this example:
(4x/(-2)) = (4/(-2))x -> a = 4/(-2) = -2
and
c = -3/-2 = 3/2
So the graph that we're searching for is increasing (-2) y values (so decreasing 2 y values) per 1 x value and has an intersection with the y-axis where y = 3/2
Answer:
In the middle because half of 50 inches is 25 inches.
Step-by-step explanation:
Answer:
1: 75 degrees
2: 112 degrees
3: 125 degrees
4: 67 degrees
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is:
a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:

and rounding to the nearest tenth, we have that:

<h2>
Why?</h2>
To solve the problem, we need to remember the following property of square roots:

We are given the expression:

We can rewrite it by the following way:

Now, applying the square root property we have:

Therefore,
a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:

and rounding to the nearest tenth, we have that:

Have a nice day!