Answer:
C
Step-by-step explanation:
Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B
Next we can use the equation
that is used in order to find the vertex of the parabola.
A)

As the vertex is at x=3 on the graph, this one could be a contender.
C)

This also could be the equation
D)

This rules option D out.
For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)
A)

As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.
This means that option A can be ruled out
C)

As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.
You can use factors to solve. Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!
Algebraic way to solve using Quadratics:
l = 2 + w
A = lw
A = (2 + w)w Substitute (2 + w) for l
24 = (2 + w)w Substitute 24 in for the area
24 = 2w + w^2 Distribute
w^2 + 2w - 24 = 0 Set equal to 0 (put in standard form)
(w + 6) (w - 4) = 0 Factor
w + 6 = 0 and w - 4 = 0 Set each factor equal to 0.
So w= -6 or w = 4 ... -6 makes no sense for a length! So the width must be 4 and the length will be 4 + 2, which is 6.
Answer: b. finding all studies published on a topic, calculating the effect size for each of those studies, and averaging the effect sizes together to find the average size of the effect across all studies.
Step-by-step explanation:
Answer:
Please check the number line attached below.
Step-by-step explanation:
Please check the attached graph below.
The line graph is representing that a number line:
- Going from negative 2 to positive 2 in increments of 1.
- There are 4 equal spaces between each number.
From the graph, it is clear that the point 0 is taken as arbitrary. The left side number units from 0 represent the negative values and the right-sided number units from 0 represent the positive values.
When we move on the right side from the 0, the numbers increase and when you move on the right side from the 0, the number decreases.