Y = 3x - 7...slope here is 3 and y int is -7
3x + 9y = 9
9y = -3x + 9
y = -1/3x + 1....slope here is -1/3 and y int is 1
the slopes 3 and -1/3 are negative reciprocals of each other...therefore, ur lines are perpendicular
<h2>
Answer:</h2>
Ques 1)

Ques 2)

<h2>
Step-by-step explanation:</h2>
Ques 1)
We know that if a graph is stretched by a factor of a then the transformation if given by:
f(x) → a f(x)
Also, we know that the translation of a function k units to the right or to the left is given by:
f(x) → f(x+k)
where if k>0 then the shift is k units to the left
and if k<0 then the shift is k units to the right.
Here the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
This means that the function g(x) is given by:

Ques 2)
We know that the transformation of the type:
f(x) → f(x)+k
is a shift or translation of the function k units up or down depending on k.
If k>0 then the shift is k units up.
and if k<0 then the shift is k units down.
Here, The graph of the function f(x)=|3x| is translated 4 units up.
This means that the transformed function g(x) is given by:

f(x)=x^2+12x+26
Vertex form of f(x) = a(x-h)^2 +k
We change f(x) into vertex form using completing the square method

We take half of square of middle term
middle term is 12
Half of square of 12 is
then 6^2 = 36
Add and subtract 36 to complete the square


The vertex form 
Answer:
(ai) The correct answer is the first option; The amount of tax the student is willing to add to a gallon of gasoline.
(aii) The correct answer is the last option; Whether the student believes that global warming is a serious issue or not.
(b) The correct answer is the first option; two-sample t interval
Step-by-step explanation:
A response variable in statistics is the idea or concept of needs to be proven right or wrong. It remains a response variable until it has been proven.
An explanatory variable simply means an independent variable. It doesn't depend on any other variable and at the same time, it can be manipulated.
In construct a 95% confidence interval to compare the two groups, two-sample t test is the appropriate t test to use.
Answer: see the graphic
Step-by-step explanation:
A. Type I error helps us to conclude that the flight is not profitable, when in fact it is profitable.
B. a = 0.05
C. Type II error does not show that the flight is profitable