Answer:
x = 5 and x = -19
Step-by-step explanation:
You're on the right track. It's the "discriminant" that tells you what you want to know here. Before starting, arrange the terms of your quadratic in descending orders of x: 5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).
Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.
You are referring to the "quadratic formula." It states this:
-b ± √(b²-4ac)
x = -----------------------
2a
So, we insert the a, b and c values as indicated above:
-14 ± √( 14² - 4[5][-19] ) -14 ± √(196 - 4[5][-19] ) -14 ± √576
x = ----------------------------------- = ---------------------------------- = ----------------------
2(10) 20 20
This comes out to:
x = (-14 + 24) / 2 and x = (-14 - 24) / 2
or:
x = 5 and x = -19
Answer:
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Step-by-step explanation:
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Answer:
N = 1680
Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'
Step-by-step explanation:
Given the word 'champion' which is an 8 distinct Letter word. The number of 4 letter groupings that could be formed from it can be given by the permutation since in this case order of letters are important.
The number of distinct 4 letter groupings can be given as;
N = nPr = 8!/(8-4)!, where n= 8 and r = 4
N = 8P4 = 8!/(8-4)!
N= 8!/4!
N = 1680
Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'
Answer:
a = d/4 - b/c
Step-by-step explanation:
Subtract b/c from both sides. We can subtract a fraction
so
a = d/4 - b/c
<h2>circumference = 87.92ft</h2>
Step-by-step explanation:
radius (r) = 14ft
circumference = 2π×r
= 2 × 3.12 × 14
= 87.92ft
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