Answer:
The function is increasing from (- infinity , 0)
Step-by-step explanation:
Answer:
0.001709
Step-by-step explanation:
The probability of getting 9 tails then 1 head is:
(½)⁹ (½)¹ = (½)¹⁰
The probability of getting 10 tails then 1 head is:
(½)¹⁰ (½)¹ = (½)¹¹
The probability of getting 11 tails then 1 head is:
(½)¹¹ (½)¹ = (½)¹²
The total probability is:
(½)¹⁰ + (½)¹¹ + (½)¹²
0.001709
When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:
<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1
Therefore, the correct answer is the last option.</span>
Answer:
x = 16
Step-by-step explanation
Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.
Hence 2x+13 = 3x-3
Collect like terms
2x-3x = -3-13
-x = -16
Multiply both sides by -1
-1(-x) = -1(-16)
x = 16
Hence the value of x is 16
Answer:
C, D, B
Step-by-step explanation:
the mode is if a number is repeated more than one time
EX. 15, 23, 15, 23, 15
C because 15 is repeated 3 times and 19 is too.
D because 42 is repeated 2 times and so is 18.
B because 87 is repeated 2 times and 32 is too.
