Answer:
A) 5x = y
B) 
Step-by-step explanation:
A is 5x = y because there are 5 pink hearts per the number of boxes (x) bought.
B uses the equation 2x is less than or equal to 100 because the teacher is spending 2 dollars per kid and can spend a maximum of 100.
The graph for this is attached.
The correct answer is c. There is no possible way to know how much the mean age decreases, but we know it definitely will (averages decrease as values less than the average are added to the data.) <span />
Answer:
see attached
Step-by-step explanation:
The graph is a series of horizontal lines. A solid dot goes wherever there is an "or equal to" symbol in the inequality. An open dot goes where the point is not included in the function definition (but nearby points are).
<h3>
Answer: 3 m/s^2</h3>
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According to Newton's Second Law, we know that
F = m*a
where F is the force applied, m is the mass and 'a' is the acceleration.
We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.
Plug in F = 35 and a = 5 to find m
F = ma
35 = m*5
35/5 = m
7 = m
m = 7
The object has a mass of 7 kg
Our equation F = ma updates to F = 7a
Now plug in the force F = 21 to find 'a'
F = 7a
21 = 7a
21/7 = a
3 = a
a = 3
The acceleration will be 3 m/s^2
Notice how a smaller force applied means that the acceleration has also gone down as well.
Rearrange the equation so that x = 11 divided by 1/8
Solve for x (11 divided by 1/8 = 88)
