What is 3x+6y=16. what do i do please help

1 answer:

7 0

Ok, so for this you're likely graphing in y=mx+b format (slope intercept). So to start, you'all first subtract 3x from the equation to get 6y=-3x+16. Now you'll divide the equation by 6 to get y alone. Your final equation will be y=-1/2x+16/6

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This is a bit confusing?

kow [346]

9514 1404 393

Answer:

Noah: 3 cups
Lin: 4 cups

Step-by-step explanation:

When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.

There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.

Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.

Lin will use 4 cups of flour for 6 cups of sugar.

<em>Alternate solution</em>

The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.

Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar

Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar

4 0

3 years ago

The First National Bank of Wilson has 600 checking account customers. Recent sample of 50 of these customers show 29 have a visa

uranmaximum [27]

Answer:

$0.58 - 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.466$

$0.58 + 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.694$

The 90% confidence interval would be given by (0.466;0.694)

Step-by-step explanation:

The estimated proportion of interest would be:

$\hat p=\frac{29}{50}= 0.58$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: