Answer:
8
Step-by-step explanation:
140-122=18
18-10=8
Answer: P(AB) = 3/8
Step-by-step explanation:
You simply multiply P(AuB) by P(B)
3/7 * 7/8 = 3/8
What is the midline equation of the function g(x)=3\sin(2x-1)+4g(x)=3sin(2x−1)+4g, (, x, ), equals, 3, sine, (, 2, x, minus, 1,
Aleksandr-060686 [28]
Answer:
Required equation of midline is x=4.
Step-by-step explanation:
Given function is,

In standerd form (1) can be written as,

where,
|a|= amplitude.
b= vertical shift.
c= horizontal shift.
Midline is the line which runs between maximum and minimum value.
In this problem,
a=3, b=2, c=-1, d=4
So amplitude a=3 and graph is shifted 4 units in positive y-axis.
Therefore,
Maximum value = d + a = 4 + 3 = 7
Minumum value = d - a = 4 - 3 = 1
Midline will be centered of the region (7, 1) that is at 4.
Hence equation of midline is x=4.
Answer:
x = - 3 or x = 7
Step-by-step explanation:
Given
f(x) = x² - 4x + 6
If f(x) = 27, then equating gives
x² - 4x + 6 = 27 ( subtract 27 from both sides )
x² - 4x - 21 = 0 ← in standard form
Consider the factors of the constant term ( - 21) which sum to give the coefficient of the x- term ( - 4)
The factors are - 7 and + 3, since
- 7 × 3 = - 21 and - 7 + 3 = - 4, hence
(x - 7)(x + 3) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 7 = 0 ⇒ x = 7
-4.27.27.27.27 and it keeps repeating