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olga55 [171]
3 years ago
5

Simplify the following expression and justify each step in your simplification. 5(7-x)+6x(3x+4)

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0
35-5x+18x^2+24x 
Simplify:
18x^2+19x+35
SIZIF [17.4K]3 years ago
7 0

Answer:

The simplified form of the given expression is 18x^2+19x+35.

Step-by-step explanation:

The given expression is

5(7-x)+6x(3x+4)

We need to find the simplified form of the given expression.

Using distributive property we get

5(7)+5(-x)+6x(3x)+6x(4)

On further simplification we get

35-5x+18x^2+24x

On combine like terms.

18x^2+(-5x+24x)+35

18x^2+19x+35

Therefore the simplified form of the given expression is 18x^2+19x+35.

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Which point is collinear with points a and d
Art [367]
B. (6, -8)

First, you need to figure out the slope of the line

(y1 - y2) / (x1 - x2)

After substituting points D(-3, 4) A(3, -4)

[4 - (-4)] / (-3 - 3)
(8) / (-6)

The slope of the line is -8/6 or -4/3 simplified

Then you can put it in point slope form:

(y - y1) = m(x - x1)

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The point that I am using for point slope form is A(3, -4)

[y - (-4)] = -4/3(x - 3)
y + 4 = -4/3(x - 3)

Next you have to simplify the equation so that y is isolated

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First distribute the -4/3

y + 4 = -4/3(x) + (-4/3)(-3)
y + 4 = -4/3x + 4

Subtract 4 on both sides
y + 4 - 4 = -4/3x + 4 - 4
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Now that you have y = -4/3x, you can substitute the values until one of them makes the equation equal

For example) (6, -8)
-8 = -4/3(6)
-8 = -8

So since (6, -8) fits in the slope intercept equation, it must me collinear with points A and D

~~hope this helps~~

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4. Data point D

Step-by-step explanation:

In a scatter plot, the closer the clustered data points are close to the best line of fit, the greater the correlation that would exist between the two variables.

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Therefore, removing data point A and point D would cause the correlation to decrease the most.

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