Answer:
D b = -2E +212
Step-by-step explanation:
The slope is given by -2 for every 1000 ft
The initial value is 212 degrees
We can use
y = mx+b where m is the slope and b is the initial value
y = -2x +212
We are at an elevation of E thousand ft
Replace x with E
y = -2 *E +212
b is the boiling point at this elevation
We replace y with b
b = -2E +212
<h3>Answer:</h3>
none of these has "no solution"
<h3>Explanation:</h3>
A. The solution is (8/3, 3)
B. The second equation is -1/2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.
C. The solution is (-4, -2)
D. The solution is (4, -2)
E. The second equation is 2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.
_____
A system of equations will have "no solution" when it describes parallel lines—lines that do not intersect. In standard form, such equations are recognizable by their different constants. For example,
- 3x -4y = -4
- 3x -4y = 20 . . . . . . 20 is different from -4
have different constants, so the equations describe parallel lines.
We could multiply one of these by -2 and the system would still be "inconsistent"—having no solution.
If you're trying to simplify, 3 5/8+ 2 7/8 = 6 4/8. So 10 1/8 + 6 4/8 is 16 5/8
It's 85 degrees. Hope this helps
Answer:
<em />
<em />
Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a
Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula
Next, is to determine the formula using:
<em>Considering :When x = 0; y = 39000, we have</em>
<em />
<em />
<em />
<em />
<em>Make y the subject of formula</em>
<em />
<em />
<em />
<em>Express y as a function of x</em>
<em /><em />
Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes
