Answer:
Step-by-step explanation:
Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to 
and 
(doesn't matter which you assign) and use the slope formula:
Let:
The slope is equal to:
Therefore, the slope of this line is -1. In slope-intercept form 
, 
represents slope, so one of the lines must have a term with 
in it, which eliminates answer choices A and D.
For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:
Using the slope formula:
Thus, the slope of the line is 1/3 and the other line must have a term with 
in it, eliminating answer choice C and leaving the answer 
*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
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Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer: x = (2 b d)/3 + (-a - b c)
____________________________
Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
Answer:
Step-by-step explanation:
A
(2x - 5)(x + 1)
B)
The x intrcepts occur when the factors equal zero.
2x - 5 = 0
2x = 5
x = 5/2
x = 2 1/2
C
I will give the the minimum from completing the square
y = 2(x - 0.75)^2 - 6.125
as x approaches + infinity, y approaches + infinity.
as x approaches - infinity, y approaches + infinity.
It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.
D
Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.
If C stands for cups, solve for C
48 - 2c = 0
l
subtract 48 from each side.
l
2c=-48
l
divide 48 by 2 ---> 24.
