Answer:
x + 3y = -12
Step-by-step explanation:
y = mx + b
m is the slope = rise / run:
rise = 1
run = 3
the line is downhill so its negative
m = - 1 / 3
b is the y intercept which is when the line cross over the y axis: - 4
y = - 1/3x - 4
multiply both sides by 3
3y = -1x - 12
add x to both sides
x + 3y = -12
Answer:
When y = |x + h|, the graph is shifted (or translated) <u>to the left.</u>
When y = |x - h|, the graph is shifted (or translated) <u>to the right.</u>
Step-by-step explanation:
Part A:
The parent function of vertex graphs are y = |x|, and any transformations done to y = |x| are shown in this format (also known as vertex form): y = a|x - h| + k
(h , k) is the vertex of the graph.
So, for the first part, what y = |x + h| is saying is y = |x - (-h)|.
The -h is substituted for h, and negatives cancel out, resulting in x + h.
This translates to the left of the graph.
Part B:
For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.
This translates to the right of the graph.
8 litres (amount of 20% solution needed) and 7 litres for (amount of 50% solution needed)
<u>Step-by-step explanation:</u>
Let consider ‘x’ for 20% acid solution and (15 – x) for 50% acid solution. And so, the equation would be as below,
20% in x + 50% in (15 – x) = 15 litres of 34%
Convert percentage values, we get
0.20(x) + 0.50 (15 – x) = 15 (0.34)
0.20 x + 7.5 – 0.50 x = 5.1
-0.3 x + 7.5 = 5.1
0.3 x = 7.5 – 5.1
0.3 x = 2.4
Apply ‘x = 8’ value in (15 – x) we get,
15 – 8 = 7 litres
The value of 7 litres for (amount of 50% solution needed)
6 4/5 = 6.8
4 1/2 = 4.5
6.8-4.5= 2.3
Answer: 2 3/10 more pounds of treasure
