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Grace [21]
2 years ago
13

F(x) = 6x + 3 g(x) = 3x - 2

Mathematics
1 answer:
Snezhnost [94]2 years ago
4 0

Answer:

Step-by-step explanation:

g(x) = 3x² + 1

This is an up-opening parabola with vertex at (0,1).

Plot (0,1)

Plot (1,4) and (-1,4).

Plot (2,13) and (-2,13).

Draw the parabola joining the points.

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Write the quadratic function f(x) = 3x2 - 6x + 9 in vertex form.
Y_Kistochka [10]
The answer is y=3(x-1)^2+6
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2 years ago
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A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at
valina [46]

Answer:

P(Same)=\frac{61}{190}

Step-by-step explanation:

Given

Red = 5

White = 6

Black = 9

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

Total = 5 + 6 + 9

Total = 20

This is calculated as:

P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)

So, we have:

P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1}  + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1}  + \frac{9}{20} * \frac{9- 1}{20- 1}

P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19}  + \frac{9}{20} * \frac{8}{19}

P(Same)=\frac{20}{380} + \frac{30}{380}  + \frac{72}{380}

P(Same)=\frac{20+30+72}{380}

P(Same)=\frac{122}{380}

P(Same)=\frac{61}{190}

4 0
2 years ago
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3 years ago
I don’t how to solve this problem
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If you divide the larger lake's size by the smaller lake's size, you'll get the answer.
890/80=11.125
Rounds off to 11.13
Answer C
***
example, 10/2=5. 10 is 5 times larger than 2.
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Which in is it.........
ANTONII [103]
I haven't done these problems in a really long time, so there's a chance that my answer might be wrong. I hypothesize that the correct answer is C. 
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3 years ago
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