Answer:
t = -d/50 + 2
0.5 hour
Step-by-step explanation:
Given the equation:
d = 50 - 100t
The inverse function:
A.) solving for t
d = 100 - 50t
d - 100 = - 50t
Divide both sides by - 50
d/-50 - (100/-50) = - 50t/-50
-d/50 - (-2) = t
t = -d/50 + 2
B) using the inverse function:
t = -d/50 + 2
Miles driven (d) = 75, find time (t)
t = - 75/50 + 2
t = - 1.5 + 2
t = 0.5
t is in hours, therefore time left to travel is 0.5 hours or 30 minutes
Answer:
<DAB= 98
Step-by-step explanation:
Remark
I think you are supposed to assume that this is a parallelogram. In that case the two labeled angles are intended to be equal (one of the properties of a parallelogram).
Equation
2x + 36 = 3x - 5 Add 5 to both sides
2x + 36 + 5 = 3x - 5 + 5 Combine
2x + 41 = 3x Subtract 2x from both sides
2x - 2x + 41 = 3x - 2x Combine
41 = x
Answer
<DAB = 2x + 36
<DAB = 2*41 + 36
<DAB = 82 + 36
<DAB = 98
Answer:
The length of the third side of given triangle lies between 6.5 and 19.9.
Step-by-step explanation:
The law of cosine is as follows
---------------1
⇒ a and b are the given sides of the triangle and c is the third side, and 
is the angle between a and b .
In equation 1 , the maximum and minimum values of 
are 1 and -1.
so the value of c lies in between
⇒ 
and 
= 
Given a=13.2 and b=6.7 so the the side lies in between |13.2-6.7| and |13.2+6.7|
so the third side lies between 6.5 and 19.9
For questions #6 & #8, you didn't complete them or provide all necessary things (such as description, data, or graph). 5 − ≤ 20 is not an inequality, an inequality should be something like 5 - x ≤ 20, but you didn't give anything like that in your question.
7. (-1,4), (5,2), we can calculate the slope. As x increases from -1 to 5, (increases by 6), the y-value decreases by 2. -2/6 = -1/3, the slope is -1/3. The slope is negative and the y-value decreases by a third of the amount the x-value changes.
9. C, because you can only hold at MOST 500, and larger watermelons is represented by 10x. I'm assuming you made an error in your question, you gave me the values of larger/smaller watermelons only, and your question asked for larger & medium and the options seem to suggest there's only larger/smaller. 10x + 3y <= 500 or <, smaller than or equal would be the better choice if available.
10. y = 2x + 10, because 2 is the slope as minutes increase by 1, inches increase by 2, and the 10 inches of sawdust are already there.
When you offer Questions #6 & #8's data, I'll gladly help you with it. The rest of the questions are correct and properly explained.
