Answer: f^-1(x) = (y - 7)/11
Explanation:
f(x) = 11x + 7
y = 11x + 7
y - 7 = 11x
(y - 7)/11 = x
Volume is length x width x height so 24 x 12 x 18 is your answer
Answer: True
Explanation:
According to the rational zeros theorem, if x=a is a zero of the function f(x), then f(a) = 0.
Given: f(x) = x⁴ + x³ - 11x² - 9x + 18
From the calculator, obtain
f(5) = 448
f(4) = 126
f(3) = 0
f(2) = -20
f(1) = 0
f(0) = 18
f(-1) = 16
f(-2) = 0
f(-3) = 0
The polynomial is of degree 4, so it has at most 4 real zeros.
From the calculations, we found all 4 zeros as x = -3, -2, 1, and 3.
Therefore
f(x) = (x+3)(x+2)(x-1)(x-3).
For x>3, f(x)increases rapidly. Therefore there are no zeros for x>3.
The statement that x=5 is an upper bound for the zeros of f(x) is true.
Raul has 56 bouncy balls
he puts the balls into red gift bags and green gift bags
so lets say he puts x number of balls into green gift bags
then we are told that he puts three times as many balls into red gift bags as he puts into green gift bags
so the number of balls he puts into red gift bags is - 3 * x = 3x
the total number of balls = 56
so we can write the following equation
x + 3x = 56
4x = 56
x = 56/4
x = 14
therefore the amount of balls he puts into green bags is - 14 balls
Answer:
0.191
Step-by-step explanation:
0.169
+
0.022
======
0.191
Kono Dio Da