Answer:
See below
Step-by-step explanation:
<h3>Given function </h3>
<u>Another notation for same function is</u>
- y = 5x - 7, where 5 is the slope and -7 is the y-intercept
<h3>Questions
</h3>
<u>1. Is the function increasing or decreasing?
</u>
- Increasing as x has positive slope
<u>2. What is the y-intercept?
</u>
<u>3. What is the slope?
</u>
<u>4. What is f(-2)?
</u>
- f(-2) = 5(-2) - 7 = - 10 - 7 = -17
<u>5. If f(x) = 0, what is x?</u>
- f(x) = 0
- 0 = 5x - 7
- 5x = 7
- x = 7/5
- x = 1.4
Answer:
y=7.51
Step-by-step explanation:
First, you have to simplify one of the equations down
3x-y=4
y=-4+3x
Second, you insert the value of y into the other equation and then solve for x
9x+5(-4+3x)=8
9x-20+15x=8
24x=28
x=1.17
Last, insert the value of x into the original equation and then solve for y
y=4+3(1.17)
y=7.51
Separating variables, we have

Integrate both sides.


Given that
, we find

Then the particular solution is



and because
, we take the negative solution to accommodate this initial value.

Answer:
tan 72° = h/30
h = 30 tan 72°
h = 92.33
The ladder reaches a height of 92.33 ft.