Answer:
Step-by-step explanation:
we have
step 1
Reflecting the function f(x) over the x-axis
we know that
To reflect a function about the x-axis, multiply the function by -1
f(x) -----> -f(x)
so
step 2
Stretching the function f(x) vertically by a factor of two
To stretch a function vertically, multiply the function by two
f(x) -----> 2f(x)
step 3
Shifting the function f(x) up three units
To shift the function up, adds three units to the function
f(x) -----> f(x) +3
Answer:
x = ± 2
Step-by-step explanation:
given
40 - x² = 0 ( add x² to both sides )
40 = x² or
x² = 40 ( take the square root of both sides )
x = ± = ± = ± 2
Answer: 27 and -18
Step-by-step explanation:one positive and one negative number
A = (9,-8) B = (-6,7)
P is (2/3) the line of the line segment from A to B
So, AP = (2/3) AB and BP = (1/3) AB
OR we will divide the length of AB with the ratio 2 : 1 from A
∴ m = 2 , n = 1
∴
∴
The coordinates of point P is ( -1 , 2 )
The correct answer is option three
Answer:
Step-by-step explanation:
Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6
The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4
Given n = 10, we want to determine P(x = 4)
From the binomial distribution calculator,
P(x = 4) = 0.11