If f(x) + g(x) = (f + g)(x), then we can simplify this by adding both functions together: ΙxΙ + 9 + (- 6). This makes ΙxΙ + 3. The absolute value of x can only be something that is greater than or equal to zero for the function to make sense. This means your answer is a.) (f + g)(x) ≥ 3.
Answer:
miles
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width.
Plug in the area and length into the formula, and solve for w:
A = lw
37 = 28w
37/28 = w
So, as a fraction, the width of the garden is
miles
Answer:
The expression consists of 2 factors, and each factor contains 3 terms.
You need these two basic solutions and facts to find the equation of a line:
- If you know the gradient
and one point
:

- If you know the gradient two points
:

- The slope of a line is the coefficient m when you write it in the
form - Parallel lines have the same slope
- The slopes of perpendicular lines give -1 when multiplied
We can use this list to solve all the exercises:
b)
Use the first equation to get

c)
Use the second equation to get

d) same as c)
e) We derive the slope of the line by writing it as

So, the slope is -1/5. From here, it's the same as b)
f) same as e)
g) Again we find the slope as

so the slope is -3, and a perpendicular line has slope 1/3. From there, it's the same as b).
Answer:
18
Step-by-step explanation: