Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given
1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4
2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14
3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20
4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3
Hence the equation is y =2x²-3x+4
9514 1404 393
Answer:
5/48, 5/46, 5/44, 5/42
Step-by-step explanation:
We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:
1/8.4 = 5/42
1/8.8 = 5/44
1/9.2 = 5/46
1/9.6 = 5/48
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<em>Check</em>
- 1/8 = 0.125
- 5/42 ≈ 0.119
- 5/44 ≈ 0.114
- 5/46 ≈ 0.109
- 5/48 ≈ 0.104
- 1/10 = 0.100
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<em>Additional comment</em>
There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.
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Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.
The value of x when y = 14 is 8.4
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<h3>How to solve variation ?</h3>
y, varies directly as x. Therefore,
y ∝ x
Therefore,
y = kx
where
- k =constant of proportionality
Therefore,
10 = 6k
k = 10 / 6
k = 5 / 3
Hence, when y = 14
y = kx
14 = 5 / 3 x
cross multiply
42 = 5x
x = 42 / 5
x = 8.4
learn more on variation here: brainly.com/question/20707320
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20,909,909,090,000,000,000,000,000,000,000,000
The answer to this question is:
D. The y intercept is 52, and if Jordan does not use any gigabytes of data then his charge is $52
It’s in the y = mx + b form
The 52 is in the b area, which stands for the y intercept while the number with a variable is the rate.
