Answer:
B
Step-by-step explanation:
The two lines will never intersect regardless of the distance they go
Answer is:
It includes points in quadrant II and it doesnt include points in quadrant I
Explanation:
For odd functions a rule is:
f(x) = -f(-x) or in other words
f(x) + f(-x) = 0
Because of this function can be in quadrants I and III or in quadrants II and IV as in pairs...
Answer:
The number of hot beverages sold were 45 and the number of cold beverages sold were 180.
Step-by-step explanation:
Let the number of cold beverages sold be 
And the number of hot beverages sold be 
According to the question:
c=4
h...
1.5
c + 2
h = Sale of any day
Part1:
For Saturday.
The sale is of
360
then
1.5
c +
2
h =
360
Part 2:
Following the method of substitution.
And plugging the values of c=4
h...in equation where the sales of Saturday is given.
1.5
c + 2
h =360
1.5
4
h + 2
h =360
6
h + 2
h= 360
8
h=360
Dividing both sides with 8.
h=
h=45
Inserting h=45 in c=4
h...
we have c=4
45 = 180
So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.
Alright so 25% of the 32 students scored an A. 25% is equal to 1/4. So just take a fourth of 32 to get your answer, which is 8.
Answer:
B) -1
Step-by-step explanation:
This is the equation of a parabola which can be expressed as
y = a(x-h)² + k (1)
where (h, k) are the coordinates of the vertex which is the minimum or maximum of the graph. Strict definition is where the parabola intersects the line of symmetry ie the line which cuts a shape into half
Parabolas are symmetric around the line of symmetry
Here we see the vertex is at x = 0, y = 9 (0,9) so h=0 and k = 9
Substituting equation (1) we get
y = a(x -0)² + 9 = ax² + 9
To find a all we have to do is choose any point on the parabola, plug its x and y values into the parabola equation above
A convenient point is where the parabola intersects the positive x axis. Here x = 3 and y = 0
Plugging these values we get
0 = a(3)² + 9
a = -9/9 = -1