<h2>Range of a Quadratic Function</h2>
The range tells us the possible <em>y</em>-values that occur in the function.
When describing the range, we can write an inequality using <em>y</em>.
When describing the range of a quadratic function, we typically use the ≥ or ≤ symbols when writing the inequality.
To write the range of a quadratic function,
- Find the vertex
- Determine whether the parabola opens up or down
- Set <em>y</em> ≥ or ≤ the y-coordinate of the vertex
<h2>Solving the Question</h2>
We're given:
- Vertex at (0,4)
- Other points on the graph: (-2,0), (-1,3), (1,3), (2,0)
Because we're directly given the vertex, we just have to determine now whether the parabola opens up or down.
- If the other points on the graph always have a lower <em>y-</em>coordinate value, then the graph opens down
- If the other points on the graph always have a greater <em>y-</em>coordinate value, then the graph opens up
The other points that fall on the graph that we're given all have a lower y-coordinate value than 4, that means this parabola opens down.
Therefore, all other y-values for the function will be less than 4.
Therefore, y ≤ 4.
<h2>Answer</h2>
y ≤ 4
1. Add a positive integer by moving to the right on the number line.
2. Add a negative integer by moving to the left on the number line.
3. Subtract an integer by adding its opposite.
The correct answer is option 4: 
Step-by-step explanation:
Given expression is:
The associative property states that for any three terms that are being multiplied, different order of multiplication (i.e. which two terms are multiplied first) will give the same answer.
Let a,b and c be the three terms
then
So applying the associative property on given expression
Hence,
The correct answer is option 4:
Keywords: Associative property, Properties
Learn more about associative property at:
#learnwithBrainly
25.53kg/3h
25.53/3
= 8.51kg/h
She took 10h to make 85.1kg of dough
Answer:
notebook: $2.5
pen: $1.5
part B, he can buy 3 pens
Step-by-step explanation:
A
let the cost of notebook be n, cost of pen be p
1. 4n + 3p = 14.5
2. 5n + 6p = 21.5
by 1, you can get 3p = 14.5 - 4n, put it into 2
5n + 2(14.5 - 4n) = 21.5
5n + 29 - 8n = 21.5
3n = 29 - 21.5 = 7.5
n = 2.5
put n = 2.5 into 1
4(2.5) + 3p = 14.5
3p = 4.5
p = 1.5
B
Waseem buy 3 notebooks for each pen, let number of pen be m, then the number of notebook will be 3m
m(2.5) + 3m(1.5) < 27
2.5m + 4.5m = 7m < 27
m < 27/7
maximum integer value for m = 3
