Answer:
1125 m
Step-by-step explanation:
Given equation:
where:
- h = height (in metres)
- t = time (in seconds)
<u>Method 1</u>
Rewrite the equation in vertex form by completing the square:
The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
<u>Method 2</u>
Differentiate the function:
Set it to zero and solve for t:
Input found value of t into the original function and solve for h:
Therefore, the maximum height is 1125 metres.
Answer:
300 Burgers
Step-by-step explanation:
Since the question gives us an approximation of 250 burgers, we can round the number to 300. This is only because they had a estimation of 250 and would like to be prepared for the weekend. Being prepared would consist of ordering more than expected to make sure the burgers do not run out.
3/4 in decimal form is 0.75
4/8, when simplified, is 1/2 which is 0.5 in decimal form.
Answer:
8x(2x+3)-2(x+3)
step by-step explanation:
16x^2+22x+3
16*3=48
2 numbers which have a product of 48 and a sum of 22
=24 and -2
Rewrite the centre term as these two numbers, so
16x^2+24x-2x+3
Factorise each pair of terms.
8x(2x+3)-2(x+3)
Step-by-step explanation:
y=x+1
