Answer:
10.5cm, or 4800 cubic centimeters
Step-by-step explanation:
Answer: 28748.1
Step-by-step explanation:
Answer:
a) Water height, H(g) = 8g^2 + 3g -4 - [9g^2 -2g -5] = 8g^2 + 3g -4 -9g^2 + 2g +5 = -g^2 +5g +1
b) g = 1
H(g) = -(1)^2 + 5(1) + 1 = -1 + 5 + 1 = 5
g=2
H(g) = -(2)^2 + 5(2) + 1 = -4 + 10 + 1 = 7
g=3
H(g) = -(3)^2 + 5(3) + 1 = -9 +15 +1 = 5
c) Greatest height
Find the vertex of the parabole
The vertex is at the mid point between the two roots.
To find the roots you can use the quadratic equation
The result is g = 5/2 + [√29]/2 and g = 5/2 - [√29]/2
The middle poin is 5/2 = 2.5
Now find H(2.5) = -(2.5)^2 + 5(2.5) + 1 = 7.5 ≈ 7.3
hope this helps
Answer:
it's B. y = x + 3
You can test it by putting the values of x in the equation.
Answer
b) A(10) = 15 + 9(-2)
<u>Explanation</u>
15, 13, 11, 9, ... This is an arithmetic sequence.
The common difference = 13 - 15 = -2
or = 9 - 11 = -2
The first term of the sequence = 15.
The nth term of an arithmetic sequence is given by:
Tn = a + (n - 1)d
∴ T₁₀ = 15 + (10 - 1)(-2)
= 15 + (9 × -2) ⇒ This is the expression you need.
= 15 + -18
= -3
