Answer: X = 9
Step-by-step explanation:
You need to solve for x then to check if it's true you
plug the value in x and solve the equation.
Check if the statement is true.
Answer:
The average rate of change = 4.
Step-by-step explanation:
Here we have formula.
Average rate of change = f(b) - f(a)
-----------
b - a
Given: f(X) = x^2 + 5x - 12 interval [-2, 1]
Here a = -2 and b = 1
f(a) = f(-2) = (-2)^2 + 5(-2) -12
= 4 -10 -12
f(-2) = -18
f(b) = f(1) = (1)^2 + 5(1) - 12
= 1 + 5 -12
f(1) = 6 -12
f(1) = -6
Now apply these values in the above formula, we get
Average rate of change = [-6 - (-18)] / [1 -(-2)]
= [ -6 +18]/1 +2
= 12/3
= 4.
Therefore, the average rate of change = 4.
Hope this will helpful.
Thank you.
Answer:
12z
Step-by-step explanation:
f=(x) = 4+3z and g(x)= x^2-3.
f= (x)7z
g(x) = x^ 2-3
g(x) =1
(f-g) (2)
7z- 1 (2)
6z ×2
12 z
Answer:
hello your question is incomplete below is the complete question
Find the minimum sample size n needed to estimate μ For the given values of c, σ, and E. c=0.98, σ=6.5, and E=22 Assume that a preliminary sample has at least 30 members.
Answer : 48
Step-by-step explanation:
Given data:
E = 2.2,
std ( σ ) = 6.5
c ( level of confidence ) = 0.98
To find the minimum sample size
we have to first obtain the value of 
note : a can be found using this relation :
( 1 - a ) = 0.98 ----- equation 1
a = 1 - 0.98 = 0.02
hence: a/2 = 0.01
This means that P( Z ≤ z ) = 0.99 the value of z can be found using the table of standard normal distribution. from the table the value of z = 2.33
P( Z ≤ 2.33 ) = 0.99
To obtain the sample size n
n = 
= (6.88409)^2
Therefore n ≈ 48
Answer:
option A : 7x - 1
Step-by-step explanation:
Area of the shaded region = [ Area of bigger rectangle] - [Area of smaller rectangle ]
Therefore, Area of bigger rectangle = length * breadth = (x - 1)(x + 5)
Therefore, Area of smaller rectangle = length * breadth = (x + 1)(x - 4)
Area of shaded region = [(x - 1)(x + 5)] - [(x + 1) ( x - 4)
= [x(x + 5) - 1(x + 5)] - [x(x - 4) + 1( x - 4)]
= [ x^2 + 5x - 1x -5] - [ x^2 - 4x + 1x - 4]
= x^2 + 5x - 1x - 5 - x^2 + 4x - 1x + 4 ....(after removing the brackets)
= <u>x^</u><u>2</u><u> </u><u>-</u><u> </u><u>x^</u><u>2</u> + 5x + 4x - 1x - 1x - <u>5</u><u> </u><u>+</u><u> </u><u>4</u>.....( as (+ x^2 )and (- x^2 )get eliminated due to opposite signs)
= 9x - 2x - 1
= 7x - 1
So, option A: 7x - 1 is the correct answer.
