Answer:
The answer is A. t = 0.4n
Step-by-step explanation:
<em>See how on the graph, when n is 2, t is around 1? We just plug in 2 into n into the equation, t=0.4n. 0.4 times 2 is 0.8, so t=0.8. 0.8 is around 1, so a is right.</em><em> </em>If we tried the same thing with one of the other choices, like B. t=2.5n, then plugging in 2 into n would give us 2 times 2.5, which is 5. 5 is nowhere around 1, making it wrong.
Part A: (n^2-6n)+16
[(n^2-6n+9)-9]+16
(n-3)^2+7
Part B: From the above result,
Vertex (3,7) this is the minimum point of the graph since the coefficient of a is positive
Part C: The axis of symmetry is basically the x coordinate of the vertex, so the axis of symmetry is x=3
Hope this helps!
Importance must always be given to all the information's that are already given in the question. Based on those information's the answer to the question can be easily deduced.
Number of Hamburgers eaten by Justin in 10 minutes = 15
Then
The number of hamburgers eaten by Justin in 1 minute = 15/10
= 1.5
So option "B" is the correct option among all the options given in the question. It can seen from the deduction that Justin can eat 1.5 hamburgers in 1 minute. I hope the procedure is clear enough for you to understand.
Hey there! I'm happy to help!
The formula for the perimeter of a rectangle is 2L+2W=P where W is the width and L is the length. This is because we have our two sides that are lengths and our two sides that are widths (different values) and we add them together to see what the distance around the whole rectangle is.
So, let's insert these values into the equation.
2(2x+4)+2(x+8)=96
We use the distributive property to remove the parentheses (which is us multiplying our equations for length and width by two).
4x+8+2x+16=96
We combine the like terms.
6x+24=96
We subtract 24 from both sides.
6x=72
Divide both sides by 6.
x=12
Now that we have our value of x, we can plug it into our length and width equations to find those values.
LENGTH:
2x+4
2(12)+4
24+4
28
WIDTH:
x+8
12+8
20
So, our length is 28 and our width is 20.
Have a wonderful rest of your day and keep on learning! :D
Answer:
108.7 ft
Step-by-step explanation:
Put 30 where x is and do the arithmetic.
y = -3.29·30 -10 = -98.7 -10 = -108.7
The trend line predicts the depth to be 108.7 ft after 30 minutes.
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<em>Comment on this problem</em>
Real-world considerations in scuba diving may cause the diver to level off or head toward the surface before 30 minutes elapse. The trend line does not model these effects.