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mario62 [17]
2 years ago
14

A=1/2 (2x + 4) (6x + 4) solve using FOIL

Mathematics
1 answer:
boyakko [2]2 years ago
7 0
A = 1/2 (12x² + 8x + 24x + 16)
A = 1/2 (12x² + 32x + 16)
A = 6x² + 16x + 8


-----------------------------------------------------------
Answer: 6x² + 16x + 8
-----------------------------------------------------------

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List the potential solutions to 2 ln x = 4 ln 2 from least to greatest.
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We have to find the potential solutions to 2 ln x = 4 ln 2 from least to greatest.

Using the properties of ln function.

a \times ln b = ln b^{a}

Therefore, we get

ln x^{2} = ln 2^{4}

ln x^{2} = ln 16

taking antilog on both the sides, we get

x^{2} = 16

So, x = \pm 4

Therefore, the potential solutions to 2 ln x = 4 ln 2 from least to greatest is -4 and 4.

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2 years ago
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A statistics teacher was interested in the relationship between the number of days students waited to start a project and the sc
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Answer:

<em>A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.</em>

Step-by-step explanation:

<u>The slope of a Regression Line</u>

A straight line can be represented in the slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope describes how fast and in what direction the graph goes when x changes values.

If m is positive, increments in x imply increments in y.

If m is negative, increments in x imply decrements in y.

The regression line is:

ŷ = –3.64x + 96.5

Where:

x = the number of procrastination days

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We can say the slope is m=-3.64. This means that:

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Answer:

(a) For 40 minutes the charge is P20.00

(b) For 3 hours the charge is P30.00

(c) For 150 minutes the charge is P30.00

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The amount the computer shop charges for the first two hours = P20.00

The amount the computer shop charges for a fraction of an hour = P20.00

The amount the computer shop charges for each extra hour = P10.00

Therefore, the amount the computer shop will charge for each time, is given as follows;

(a) For 40 minutes, we have;

The duration of 40 minutes is less than two hours, therefore, the amount the computer shop will charge = P20.00

(b) For a duration of 3 hours, the amount the computer shop will charge is given by the following relation

The amount charged for the first two hours = P20.00

The amount charged for the next extra hour to make 3 hours = P10.00

The total amount charged for the 3 hours = P20.00 + P10.00 = P30.00

(c) For a duration of 150 minutes, we have;

150 minutes =  2 hours 30 minutes

Therefore, the amount charged will be equivalent to the amount charged for 3 hours or P20.00 + P10.00 = P30.00.

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