To simplify the expression (5x^2 - 21x - 20) / (5x^2 - 16x - 16), we can check if there are terms that are needed to be added or subtracted. In this case, there are none. We just check the factors of each polynomial above and below. The factored equation of the numerator is (x-5)*(x + 4/5) while that below is (x-4)* (x + 4/5). In this case, we cancel <span>(x + 4/5). Hence the answer is (x-5) / (x-4)</span>
Answer:
y-intercept (0, 8)
Step-by-step explanation:
Plug in (1,4) --> (x,y) and solve for b (y-intercept):
y = -4x + b
4 = -4(1) + b
4 = -4 + b
b = 8
Therefore the y-intercept is (0, 8)
Given:
The function is
To find:
The average rate of change of the function over the interval −5 ≤ x ≤ 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is
Putting x=-5 in the given function, we get
Putting x=4 in the given function, we get
Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is
Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.
Answer:
7/13
Step-by-step explanation:
To find the probability that it is not white
P( not white) = number of balls that are not white / total balls
The balls that are not white are red and green = 4+3
= (4+3)/ ( 4+6+3)
= 7/13
Answer:
15/56x^(-4/7) + 32x^3 + 6.
Step-by-step explanation:
Using the rule for algebraic differentiation:
If y = ax^n, dy/dx = anx^(n-1).
So :
If y = 5/8x^3/7 + 8x^4 + 6x - 9
dy/dx = 5/8* 3/7 x^(3/7-1) + 8*4 x^(4-1) + 6x(1-1)
= 15/56x^(-4/7) + 32x^3 + 6.