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eduard
2 years ago
10

HELP find the a,b,c of this table​

Mathematics
1 answer:
fenix001 [56]2 years ago
6 0

Answer:

<em>a = b = 1 , c = - 8</em>

Step-by-step explanation:

ax² + bx + c = y

( - 5 )² a - 5b + c = 12

<em>c = - 8</em>

3² a + 3b + c = 4

25a - 5b - 8 = 12 ⇔ 25a - 5b = 20 ⇔ 5a - b = 4 ........ <em>(1)</em>

9a + 3b - 8 = 4 ⇔ 9a + 3b = 12 ⇔ 3a + b = 4 .......... <em>(2)</em>

<em>(1)</em> + <em>(2)</em>

8a = 8 ; <em>a = 1</em>

<em>b = 1</em>

<em>y = x² + x - 8</em>

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Pani-rosa [81]

After clarification we see the respective diameters are

A = 2.3 \times 10^{-a}

B = 2.3 \times 10^{-b}

We're asked about the ratio

A:B =  2.3 \times 10^{-a} :  2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1

Now we can go through the choices.

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

A:B=10^{6-4}:1 = 100:1

It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.

B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.

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C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.

FALSE. We already calculated its 100 times bigger.

D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

FALSE.


8 0
3 years ago
Read 2 more answers
The local operations manager for the Internal Revenue Service must decide whether to hire one, two, or three temporary tax exami
Helga [31]

Answer:

If she uses the Laplace criterion, the number of new examiners she will decide to hire is:

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Step-by-step explanation:

a) Data:

Number of           Compliance

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One               50        50         50

Two              100        60         20

Three           150        70         -10

b) Outcome Calculations:

Number of                     Compliance

examiners            Low                      Normal                High

One              16.65 (50 *.333)     16.65 (50 *.333)     16.65 (50 *.333) =  50

Two              33.3 (100 *.333)      19.98 (60 *.333)      6.66 (20 *.333)  = 60

Three           49.95 (150 *.333)    23.31 (70 *.333)     -3.33 (-10 *.333) =  70

c) Decision:

Three has the highest payoff condition and is selected.

d) The Laplace criterion assumes that each compliance state is equally likely to happen.  Therefore, it assigns the same weight to each state of compliance.  Since there are three states of compliance, we shall assign each state a weight of 0.333.  The number of examiners that have the highest payoff condition is three, and therefore, the number "three" is selected.

5 0
3 years ago
In a recent year, there was about 400,000,000 mobile internet users. ( look at the picture )​
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Answer:

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Step-by-step explanation:

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3 years ago
PLS HELP, HOMEWORK. (15 points)
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