Answer:
Vertex form: 
Height expressed as a function of time: 
Step-by-step explanation:
We have been given that the ball is 4 ft above the ground when she hits it.
This means that initial value (y-intercept) of ball is 4.
We are also told that three seconds later it reaches its maximum height of 148 ft. This means 
.
We know that vertex form of a parabola is in format 
.
Let us solve for a using our given information.
Therefore, the vertex form of our given function would be 
.
Since we need height as a function of time, so we will get:
Therefore, the function where height is expressed as a function of time would be .
If the given expression is simplified we get c. 2x²y³ + 3y.
Explanation:
- The numerator has two terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.
- So 14x⁵y⁴ + 21x³y² / 7x³y becomes 14x⁵y⁴ / 7x³y + 21x³y² / 7x³y.
- The simplification of the first term; 14 / 7 = 2, x⁵ / x³ = x², y⁴/y = y³. So the first term is 2x²y³.
- The simplification of the second term; 21 / 7 = 3, x³ / x³ = 1, y² / y = y. So the second term is 3y.
- Adding both the terms we get 2x²y³ + 3y. This is the option c.
For easier notation lets use: Nn=x and Nd=y
x+y=22
5x+10y=135
Multiply the first equation by 5 to get
5x+5y=110
Now you can eliminate x by subtracting the first equation from the second
5x+10y-5x-5y=135-110
5y=25
y=5
x=17
Answer:
-3/4
Step-by-step explanation:
Write in y = mx + b form
4y = -3x + 8
y = -3/4x + 2
Find the m value.
m = -3/4
