Given the vertex of the parabola at point (2, -3):
The quadratic function in vertex form is:
f(x) = (x - 2)^2 - 3
where the vertex (h, k) is the minimum point = (2, -3).
Hello.
First, let the number be r.
5 times r is written like this:

Now, add 45:

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

In order to solve this equation, we need to add 85 and 140:

Now, subtract 45 from both sides:



The last step is to divide both sides by 5:

Therefore, the answer is

I hope it helps.
Have a nice day.

Answer:
Step-by-step explanation:
the zeros of a function f are found by solving the equation f(x) = 0. Example 1. Find the zero of the linear function f is given by. f(x) = -2 x + 4 I hope this helps.
Answer:
x = -
, x = 
Step-by-step explanation:
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
- 3x + 16 = 18 or -(- 3x + 16) = 18
Solving
- 3x + 16 = 18 ( subtract 16 from both sides )
- 3x = 2 ( divide both sides by - 3 )
x = - 
or
-(- 3x + 16) = 18
3x - 16 = 18 ( add 16 to both sides )
3x = 34 ( divide both sides by 3 )
x = 
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
| - 3(-
) + 16 | = | 2 + 16 | = | 18 | = 18 ← True
| - 3(
) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True
Thus x = -
and x =
are the solutions
The correct answer is B) -0.3
Z-scores are found using the formula
z = (X-μ)/σ
For this problem, we have
z = (24-24.5)/1.7 = -0.5/1.7 = -0.3