Answer:
See below
Step-by-step explanation:
The solution choices all agree that x = 1±√2. The second equation tells you ...
y = ±2√(x+2)
so the sign of the √2 term in x is the same as the sign of the √2 term in y. The answer choices circled in red are the ones that meet this requirement.
8:15 or 8 to 15 would be the ratio because you compare 8 quarters to 15 coins.
Given:
The values are
.
To find:
The values of
and
.
Solution:
We have,

...(i)
Multiply both sides by 10.
...(ii)
Subtracting (i) from (ii), we get




And,



Now, the product of a and b is:


The quotient of a and b is:



Therefore, the required values are
and
.
Answer:
Please find attached the graph of the following function;

Step-by-step explanation:
We note that the function is linear from x = 2 to just before x = 0
The linear relationship of the function f(x) with x changes just before x = 0
At x = 0, the value of f(x) is indicated as 1
From just after x = 0, the function is a straight horizontal line y = 3
The function also changes value immediately after x = 0 to the line y = 3
The areas where the function is defined are shown in continuous lines
Answer: y-6 = 0.5 (x-8)
Step-by-step explanation:
y − y1 = m(x − x1)
The equation is useful when we know:
one point on the line: (x1,y1)
and the slope of the line: m,
and want to find other points on the line.
Have a play with it first (move the point, try different slopes):