Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 10, 10 ], thus
f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208
f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus
average rate of change = = = 9
From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
Answer:
(- 4, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(3, 4 ) → (- 4, 3 )
Answer:
A and D are equivalent statements
Step-by-step explanation:
Answer:
a. 1/4
b. 150
Step-by-step explanation:
Firstly, we want to calculate the probability that the next value will be 4
The total number of rolls is;
17 + 24 + 23 + 10 + 16 + 30 = 120
The probability of having 4 will be;
10/120 = 1/12
b) Let us get the probability of rolling a six
That would
be 30/120 = 1/4
So out of 600 rolls, the number of time we will have a six will
be 1/4 * 600 = 150