The function y= x2 - 10x+ 31 has a value of
1 answer:
Answer:
- y = 6 at x = 5
Step-by-step explanation:
It is assumed the question is about finding the minimum value as the given function has no maximum value, it is + ∞ as the coefficient of x² is positive
<u>The minimum/maximum value of a quadratic function is the vertex, which is at:</u>
- x = -b/2a
<u>For the given function y = x² -10x + 31, the vertex is:</u>
- x = - (-10)/2*1 = 10/2 = 5
<u>The value of y at this point is:</u>
- y = 5² - 10*5 + 31 = 25 - 50 + 31 = 6
<u>The point is </u>
- (5, 6)
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Answer:
The ratios are not equal.
Step-by-step explanation:
To justify the answer we will assume the dimes and quarters.
Let number of dimes be denoted by 'x'.
Let number of quarters denoted by 'y'.
In Siri's coin purse
Number of dimes (x) = 6
Number of quarters (y) = 4
Therefore ratio of quarter to dimes we get;
⇒ equation 1.
In Martha Coin purse.
Number of dimes (x) = 5
Number of quarters (y) = 3
Therefore ratio of quarter to dimes we get;
⇒ equation 2.
Now we will check if both have the same ratios.
We will check by making both equation 1 and equation 2 equal.
By cross multiplication we get;
Hence the ratios are not equal.