<h2>
Answer:</h2>
The quadratic function are:
option: A A) y(y + 4) - y = 6
Option: C C.) 4b(b) = 0
<h2>
Step-by-step explanation:</h2>
We know that the general equation of a quadratic equation in terms of a variable x is given by:

A)
y(y + 4) - y = 6
On simplifying the terms we have:

Hence, option: A is correct.
B)
(3x + 2) + (6x - 1) = 0

Hence, it is a linear equation.
Hence, option: B is incorrect.
C)
4b(b) = 0
it could also be written as:

Hence, it is a quadratic equation.
Hence, option: C is correct.
D)
3a - 7 = 2(7a - 3)

which is again a linear equation.
Hence, option: D is incorrect.
Step-by-step explanation:
2 : 3 = 6 : x ,
Ratio can be written as
2*3 = 6, we multiply top and bottom of fraction by 3
So value of x=9
4 : 7 = x : 42 ,
7*6 = 42, we multiply top and bottom of fraction by 6
So value of x=24
2x : 48 = 3 : 12,
\frac{3}{12}[/tex] =
2x= 12, so x= 6
12 : 15 = x : 20
,
we multiply top and bottom by 4/3

So value of x=16
<h2><u>
Answer with explanation:</u></h2>
The confidence interval for population mean (when population standard deviation is unknown) is given by :-

, where n= sample size
= Sample mean
s= sample size
t* = Critical value.
Given : n= 25
Degree of freedom : 

Significance level for 98% confidence interval : 
Using t-distribution table ,
Two-tailed critical value for 98% confidence interval :

⇒ The critical value that should be used in constructing the confidence interval = 2.4922
Then, the 95% confidence interval would be :-




Hence, the 98% confidence interval for the mean repair cost for the dryers. = 
Answer:
The breadth of the triangle is 8 inches.
Step-by-step explanation:
Given that the area of the triangle is 24 sq inches and that the height is 6 inches
1/2 * b * 6 =24
b * 3= 24
b=8 inches