Hey there! :)
Answer:
D. A vertical translation of f(x) four units downward.
Step-by-step explanation:
Recall that the transformations form of an absolute value function is:
f(x) = ±a|b(x-h)|+k
Where 'a' is a vertical stretch/compression
'b' is a horizontal stretch/compression
'h' is a horizontal shift
'k' is a vertical shift
In g(x) = |x| -4, we can derive a k value of -4.
This means that from f(x) to g(x), there has been a vertical translation of f(x) four units downward.
Step-by-step explanation:
5.2 × 10000
yep that is the answer
Answer:
The probability that there will be enough seats for all people who turn up is 0.78
Step-by-step explanation:
Given:
A = 500
B = 550
Since it is known from experience that 10% of people who bought tickets don't show up, to find the probability that there will be enough seats for those who show up, we have:
Percentage that will turn up = 100℅ - 10℅ = 90℅
Since 90℅ will turn up, that means the number of passengers will be less than 500.
Therefore for P less than or equal to 500, we use:
P ( X <_ 500) =
= [500 + 0.5 - (550 * 0.9)] / sqrt*(550 * 0. 9 * 0.1)
= 0.78
Therefore, the probability that there will be enough seats for all people who turn up is 0.78
The expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.
<h3>What is a rectangle?</h3>
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,
Area = (2x-4)(x+5)
= 2x² + 10x - 4x - 20
= 2x² +6x - 20
Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.
The complete question is:
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
- 2x² + 10x + 20
- 2x² + 6x + 20
- 2x² + 6x − 20
- 2x² − 4x − 20
The image of the rectangle is given below.
Learn more about Rectangle:
brainly.com/question/15019502
#SPJ1
I will let you decide what counts as a second step,<em> </em>I'm going to write out all the steps.
starting from original equation
49n+986=-43
49n=-1029
n=-21
:D
