Answer:
40 Km
Step-by-step explanation:
Cross-multiply (rule of three)
2.5 cm--------10 Km
10 cm-----------x Km
2.5/10 = 10/x
so
x = 100/2.5 = 40 Km
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
Spinning the first and second spinner will give 5 and 7 outcomes, respectively. To determine the total combinations or total outcome if these two are spun, use the <em>Fundamental Principles of Counting</em>. The total outcome is the product of the two outcomes. Thus, the answer is 35.
Answer:
23
Step-by-step explanation:
You can simply substitute -2 into the x of the equation.
f(-2) = (-2)^4 + 2(-2)^2 -1
= 23
