We have a direct variation. Distance, D, varies directly as time, t.
So D = Kt where K is the constant. In this case, speed. So D = Kt is our constant of variation.
If D = 150 miles and t = 4 hours
Then we have 150 = K (4)
K = 150/4 = 37.5. The constant of variation is 37.5.
If you keep traveling at a constant speed K = 37.5 and D = 200. We have
200 = 37.5 * t
t = 200/37.5 = 5.333 hours.
Answer:
a+b=b+a
Step-by-step explanation:
so 7+4=12 and 4+7=12 so addition is commutative
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Answer:
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
Step-by-step explanation:
Lets look at a couple of examples
Example 1
4 ÷ 1/3
Copy dot flip
4 * 3/1 = 12
Whole number
Example 2
2 ÷11/12
Copy dot flip
2 * 12/11
24/11
11 goes into 24 2 times
11*2 = 22
24-22 =2
11 goes into 24 2 times with 2 left over, The left over goes over the denominator.
2 2/11
2 2/11 is a mixed number not a whole number
Example 3
8 ÷2/11
Copy dot flip
8 * 11/2
88/2
44
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
If we begin with <span>f(x)=2x^2−1 and graph this quadratic, and then translate the entire graph 2 units to the left, we get g(x) = 2(x+2)^2 -1.
Were it 4 units to the left, then h(x) = 2(x+4)^2 - 1 (example only)</span>
