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Naily [24]
3 years ago
13

Easy question

Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

y = (2/9)(x + 1)² + 2

Step-by-step explanation:

y = a(x - (-1))² + 2

y = a(x + 1)² + 2

4 = a(2 + 1)² + 2

4 = 9a + 2

9a = 2

a = 2/9

y = (2/9)(x + 1)² + 2

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A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same
pickupchik [31]

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

4 0
3 years ago
the directions on a bottle of vinegar say "mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution". the ratio o
Hoochie [10]
The mixture is 1 cup of vinegar to 1 gallon of water.
Since 1 gallon is 16 cups, it could also be
1 cup of vinegar to 16 cups of water.
If we had 80 fluid ounces of water, we'd have to change the water to 5 fluid ounces to keep the mixture the same. (It's still 1 part vinegar, 16 parts water)
7 0
4 years ago
Read 2 more answers
A number x is more than -6 and at most 8
Nataly [62]
-6 < x (less than or equal to) 8
8 0
3 years ago
Can someone please be nice enough and give me all the answer for these questions.
alexandr402 [8]
1. 1/9 since you take all the "a"s in the words which is 2/18
2.2/9 same thing as above
3.18/18 since there is no "O" it's a trick question
4.3/9
5.5/6 since you don't count 6
6.1/2 and 1/2 coins are always 1/2 unless you flip twice
7.5/13
8.1/2 because 1,3,5 odd 2,4,6 even 
Hope that helps
5 0
3 years ago
Evaluate −x+| y | when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.
Mama L [17]

Answer: = \frac{17}{12}\quad \left(\mathrm{Decimal:\quad }\:1.41666\dots \right)

Step-by-step explanation:

-\frac{1}{3}+\left|-\frac{7}{4}\right|

=-\frac{1}{3}+\frac{7}{4}

=\frac{17}{12}

5 0
3 years ago
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