Answer: No
Explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.
In the relation shown here, notice that
the x-coordinate 2 appears twice.
In one case, 2 corresponds to -4 and in
the other case, 2 corresponds to -4.
Since the x-coordinate 2 corresponds to more than one
y-coordinate, no, this relation is not a function.
Answer:
Rate = 4.5
Step-by-step explanation:
It is given that,
A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.
We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :
So, the unit rate of flour to sugar for the cookie recipe is 4.5
Answer:
207.24 inch^2
Step-by-step explanation:
A=2*3.14*9+2.3.14*3*8
=56.52+150.72
=207.24 square inches
Hello!
The mode is the number that appears the most in the data set. In our data set, both 27 and 36 are seen twice, which is more than any other number in the set. Therefore our answer is A) 27 and 36.
I hope this helps!
The given equation of the ellipse is x^2
+ y^2 = 2 x + 2 y
At tangent line, the point is horizontal with the x-axis
therefore slope = dy / dx = 0
<span>So we have to take the 1st derivative of the equation
then equate dy / dx to zero.</span>
x^2 + y^2 = 2 x + 2 y
x^2 – 2 x = 2 y – y^2
(2x – 2) dx = (2 – 2y) dy
(2x – 2) / (2 – 2y) = 0
2x – 2 = 0
x = 1
To find for y, we go back to the original equation then substitute
the value of x.
x^2 + y^2 = 2 x + 2 y
1^2 + y^2 = 2 * 1 + 2 y
y^2 – 2y + 1 – 2 = 0
y^2 – 2y – 1 = 0
Finding the roots using the quadratic formula:
y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1
y = 1 ± 2.828
y = -1.828 , 3.828
<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828)
and (1, 3.828).</span>
