Answer:
if the 1 3 was fractions the answer is
-1/9 decimal form is -0.1
Step-by-step explanation:
39% has the same value as .39
Answer: the function that has the smaller minimum is g(x), and the cordinates are (0,3)
Step-by-step explanation:
We have a function for f(x) and a table for g(x)
first, quadratic functions are symmetrical.
This means that if the minimum/maximum is located at x = x0, we will have that:
f(x0 + A) = f(x0 - A)
For any real value of A.
Then when we look at the table, we can see that:
g(-1) = 7
g(0) = 3
g(1) = 7
then the minimum of g(x) must be at x = 0, and we can see that the minimum value of g(x) is 3.
Now let's analyze f(x).
When we have a quadratic equation of the shape.
y = a*x^2 + b*x + c
the minimum/maximum will be located at:
x = -b/2a
In our function we have:
a = 3
b = 6
then the minimum is at:
X = -6/2*3 = -1
f(-1) = 3*(-1)^2 + 6*-1 + 7 = 3 - 6 + 7 = 3 + 1 = 4
Then the function that has the smaller minimum is g(x), and the cordinates are (0,3)
Answer:
3 : 1
Step-by-step explanation:
The ratio of coins is ...
1 2/5 : 2 1/3 = 7/5 : 7/3 = 3 : 5
The quarters have 5 times the dollar value of nickels, so the ratio of dollar values is ...
5(3) : 5 = 3 : 1
The quarters have 3 times the dollar value of the nickels.
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<em>Additional comment</em>
The number of nickels is 5/3 times the number of quarters, so is 5/3(24) = 40.
The dollar value of the quarters is 24($0.25) = $6.
The dollar value of the nickels is 40($0.05) = $2.
As above, the ratio of dollar values is 6:2 = 3 : 1.
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There are a few different ways to compute the ratio of fractions. The one we used here may be a little unusual. All are equivalent.
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