Answer:
Step 1: Identify a, h, and k.
a=0.5, h= -2, k= -4
Step 3: The axis of symmetry is the line x= -2
Step 4: h(-4)= -2 h(-6)= 4
The graph should have points plotted at (-6, 4), (-4, -2), (-2, -4), (0, -2), and (2, 4)
Step-by-step explanation: The answers were already there, just here to repeat for others who are confused.
Answers:
What is the ratio? 120:2
What is the unit rate? 60:1
What is the rate? 60 jumping jacks per minute
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Further Explanation:
To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.
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Once we have 120:2, we divide both parts by 2 to get 60:1
120/2 = 60
2/2 = 1
The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"
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Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.
Answer:
x < 2.5
Step-by-step explanation:
Allen has already run 3 hours and will run x amount more to finish. This is 3+x. He must finish under or less than 5.5 hours. So 3 + x < 5.5. You solve and find x < 2.5.
V≈5321.86
Sine the cylinder volume formula is pi*r^2*h.
4(x-1)=6 you start by dividing the whole equation by 4, so
x-1=6/4 simplify, x-1=3/2 then you add 1 to the whole equation
x=1 and 3/2 or x=5/2
