I believe it is 13/60
First, you would make them have common denominators
4/5 (12/12) is 48/60
7/12 (5/55 is 35/60
Second, you want to find the difference
48-35=13
So from that, I would assume that the difference between the two is 13/60
Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
<h3>
Answer: 12 & 2/3 km per hour</h3>
In decimal form, this is approximately 12.667 km per hour.
As an improper fraction, 12 & 2/3 = 38/3
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Explanation:
Let's use this formula
a & b/c = (a*c+b)/c
to convert the given mixed number to an improper fraction.
3 & 1/6 = (3*6+1)/6
3 & 1/6 = 19/6
The mixed number 3 & 1/6 is the same as the improper fraction 19/6
The hamster runs 19/6 km in 1/4 of an hour.
We can express that as the ratio
19/6 km : 1/4 hr
Multiply both parts by 4 so that the "1/4 hr" turns into "1 hr"
19/6 km : 1/4 hr
4*19/6 km : 4*1/4 hr
76/6 km : 1 hr
38/3 km : 1 hr
Harvey runs 38/3 km in 1 hour
Let's convert that to a mixed number
38/3 leads to a decimal, but 36/3 leads to a whole number
So,
38/3 = (36+2)/3
38/3 = 36/3 + 2/3
38/3 = 12 + 2/3
38/3 = 12 & 2/3
You can use your calculator to note that 38/3 = 12.667 approximately, which is also the value of 12 & 2/3, since 2/3 = 0.667 approximately. This helps confirm we did the conversion correctly.
