Answer:
Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x
Step-by-step explanation:
we have

This is a vertical parabola open downward
The vertex is a maximum
Find the vertex
step 1
Factor the leading coefficient -4

step 2
Complete the square

step 3


step 4
Rewrite as perfect squares

the vertex is the point (1,-21)
so
The maximum value of the quadratic equation is (1,-21)
therefore
Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x
Answer:
Option A
Step-by-step explanation:
This is increasing function
The first option is correct
<em>See attached graph for reference</em>
There are a total of 30 integers and 10 of these are divisible by 3 (3, 6, 9, 12, 15, 18, 21, 24, 27, and 30). So the probability of getting an integer divisible by 3 is

= 1/3. The answer is letter C.
There are 2 red marbles and 3 blue marbles, with a total of 5 marbles in the bag.
When Jonathan chooses a marble, we are saying that he is choosing the marble randomly.
Let's make a fraction. We want to know the chance of picking one of the 2 red marbles among all 5 marbles.
Divide 2 by 5
2/5
That's already a simplified fraction. If you want to convert this into decimal and into percentage, you would get
2/5
= 0.4
= 40%
Those are all acceptable answers.
Have an awesome day! :)