I do not understand why you or your teacher have written down a certain number of minutes by each equation, but I will do my best to answer your question. I hope that I’m able to help.
1,2) 20 + 3.5x = 30 + 2.75x
-20 -20
3.5x = 30 + 2.75x - 20
-2.75x -2.75x
0.75x = 10
/0.75 /0.75
x = 13.333...
3,4) 3.5x + 2.75x = 20 + 30
6.25x = 50
/6.25. /6.25
x = 8
Given the position function <em>s(t)</em>, you can get the acceleration function by differentiating <em>s</em> twice:
velocity = <em>s'(t)</em> = -5 sin(<em>t </em>) + 3 cos(3<em>t</em> )
acceleration = <em>s''(t)</em> = -5 cos(<em>t</em> ) - 9 sin(3<em>t</em> )
Then when <em>t</em> = <em>π</em>, the particle's acceleration is
<em>s''(π)</em> = -5 cos(<em>π</em>) - 9 sin(3<em>π</em>)
… = -5 • (-1) - 9 • 0 = 5
Answer:
- 5 < x
Step-by-step explanation:
To solve, we need to isolate the variable: x
5x - 7 < 8x + 8
Subtract 5x from both sides
5x - 5x -7 < 8x -5x + 8
- 7 < 3x + 8
Subtract 8 from both sides
- 7 -8 < 3x + 8 -8
-15< 3x
Divide both sides by 3
- 15/3< 3x/3
- 5 < x
Answer:
Option d :18 bags of chips and 6 jars of salsa
Step-by-step explanation:
Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.
Inequality : 
Solution :
x represents chips
y represents salsa
Option a: 10 bags of chips and 2 jars of salsa
so, x = 10 and y =2
Putting values in inequality
Hence it is correct.
Option b : 20 bags of chips and 2 jars of salsa
so, x = 20 and y =2
Putting values in inequality
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
Hence it is correct.
Option d :18 bags of chips and 6 jars of salsa
so, x = 18 and y =6
Putting values in inequality
Hence it is not correct since it violates the inequality
Answer:
< - 5, 3.5 >
Step-by-step explanation:
A single translation is required to map A onto B
Consider the point (5, 3 ) on A and the corresponding point (0, 6.5) on B
the translation is < 0 - 5, 6.5 - 3 > = < - 5, 3.5 >
