Answer:
1. Vertex: (4,26)
X-intercept: (9.09,0)(-1.09)
2. Vertex: (-4,-6)
X-intercept: (-1.55,0)(-6.44,0)
Step-by-step explanation:
<h2>
Explanation:</h2>
The complete question is in a comment above. The statements says that:
- Sean wrote the equation

is the cost per pound.- The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.
So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:

From the equation we can determine
as:

So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:

So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:

From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).
Slope formula:
m = (y2-y1)/(x2-x1)
m = (13-19)/(-3-(-8))
m = (13-19)/(-3+8)
m = -6/5
The slope is therefore -6/5
First you differentiate to find the gradient
dy/dx = (6 - - 8) / (-4 - 7)
= 14 / -11
= - 14/11
Then you use this formula
y - y1 = m (x - x1)
y1 being the y coordinate
x1 being the x coordinate
m being the gradient (or slope)
y - 6 = -14/11 (x - - 4)
y - 6 = -14/11x - 56/11
y = -14/11x + 10/11
Answer:
4.097 s
Step-by-step explanation:
The formula for ballistic motion usually used is ...
h(t) = -4.9t² +v₀t +s₀
where v₀ and s₀ are the initial vertical velocity and height, respectively. Here, we have v₀ = (35 m/s)sin(35°) and s₀ = 0. We want to solve for h(t) = 0.
0 = -4.9t² +35sin(35°)t = t(-4.9t +35sin(35°))
This is true for t=0 and for ...
t = 35sin(35°)/4.9 ≈ 4.09697 . . . seconds
It will take about 4.097 seconds for the projectile to reach the ground.
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<em>Comment on the graph</em>
Desmos has a setting option for angles in degrees. That is what we used here.