Please use " ^ " to indicate exponentiation: <span>y=−0.5x^2+8x
Examining this function, we see that its graph is a vertical parabola opening down.
You did not supply instructions for this problem.
However, one could guess that you might want to find the highest point of the grasshopper's path. To do this, find the vertex: Find the x value defined by
x = -b/(2a). Here, a= -0.5 and b= 8. Thus, the vertex is at x = -8/(2[-0.5]), or
x -8/(-1) = 8 units. The corresponding y value is then
y = </span><span>−0.5*8^2+8(8) = -0.5(64) + 64, or 32 units.</span>
Answer:
Step-by-step explanation:
24ty-18t+4y-3
Seperate:
(24ty+4y)+(-18t-3)
Factor out:
4y(6t+1)+(-3)(6t+1)
(4y-3)(6t+1)
Answer:
55.38 min
Step-by-step explanation:
A car travels,
182 km ⇒ 4 hours
And we have to find the time that it takes to travel 42 km .
Lets make a equation.
Let the unknown time be x
182 km ⇒ 4 hours
42 km ⇒ x
To make easy let's km in to meters and hours in to minutes
182000 m ⇒ 240 min
42000m ⇒ x
Now use cross multiplication.




Hope this helps you.
Let me know if you have any other questions :-)
Let the ∠C be : θ
From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units
Also, We can notice that Hypotenuse is 11 units
As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ
We know that :




<u>Answer</u> : The measure of ∠C to the nearest degree is 38°