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lapo4ka [179]
3 years ago
6

Expand the following 4/5 (20x - 10)

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0

Answer:

The required answer is 16x-8.

Step-by-step explanation:

Consider the provided expression 4/5 (20x - 10)

The above expression can be written as:

\frac{4}{5}(20x-10)

Now, use the distributive property:

Distributive property: a(b+c)=ab+ac

Use the above property

\frac{4}{5}\times 20x-\frac{4}{5}\times 10

4\times 4x-4 \times 2

16x-8

Hence, the required answer is 16x-8.

marin [14]3 years ago
3 0
4/5 (20x - 10)...use distributive property...basically multiplying the 4/5 by everything in the parenthesis,

4/5 * 20x - 4/5 * 10 =
16x - 8
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Ierofanga [76]

Answer:

(-6,4)

Step-by-step explanation:

1/3x − 2 = x + 2 is obtained by equating the following two functions:

y = (⅓)x - 2

y = x + 2

Graph:

Draw two straight lines

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2) joining (0,2) and (-2,0)

On the graph, you'll see that the above two lines intersect at: (-6,4)

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3 years ago
Find the line y=a+bx which best approximates the data points
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Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x         -3            -1             1             2             4

y       -70          -42         -21         -9             14

By the above table,

\sum x=3

\sum y=-128

\sum xy = 269

\sum x^2=31

\sum y^2 = 7382

Let the equation of the line is,

y = bx + a

Where,

a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}

b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

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12 pound costs $18.75. Lets find the cost per pound first:

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We know, there are 16 ounces in 1 pound.

We know 1 pound costs 1.5625

To find cost per ounce, we have to divide this by 16.

So,

Cost Per Ounce = \frac{1.5625}{16}=0.097

Rounded to nearest cent, that would be 10 cents per ounce

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