Answer:
The first one is 2, the second one is 7/8.
Step-by-step explanation:
You can do self-checking.
Answer:
y = 29/4
Step-by-step explanation:
It is given that,
3/(y - 5) = 15/(y + 4)
<u>To find the value of y</u>
we have,
3/(y - 5) = 15/(y + 4)
3(y + 4) = 15(y - 5)
(y + 4) = 5(y - 5) [dividing both sides by 3]
y + 4 = 5y - 25
5y - 25 = y + 4
5y - y = 4 + 25
4y = 29
y = 29/4
Therefore the value of y = 29/4
Answer:
C) vertex: (-2, -4);
axis of symmetry: x = - 2
Step-by-step explanation:
One of the many ways to finding the vertex of a parabolic equation is to use the formula: for the x-coordinate of the vertex, and for the y-coordinate of the vertex.
However, since this equation is in vertex form, the simplest way to find the vertex would be by applying your knowledge of the vertex form of the parabola.
In this equation, we have the vertex form of a parabola: , where are the vertex coordinates.
In :
You may be wondering why h = -2 and not +2. This is because since the original vertex form is (x - h), this equation is basically subtracting a negative 2 to create a positive 2.
Now that we have the h and k values, we know the vertex:
The axis of symmetry is the vertical line that cuts right through the center point of the parabola, aka the vertex. Therefore, the axis of symmetry would be found by:
For this particular equation, h = -2, so the axis of symmetry would be:
This answer corresponds with <u>Answer Choice C.</u>
Answer:
83,461.65
Step-by-step explanation:
Pe^rt
P= principal balance
r= rate
t= time
plug in the numbers
65,000e^(.05x5)
=83,461.65
Number of black cars = 200
Number of white cars = 110