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3 years ago

Which expression is equivalent to 4+2(1+3x)

Mathematics

1 answer:

Leviafan [203]3 years ago

8 0

Answer:

I'm glad you asked!

Step-by-step explanation:

OK,let's simplify the number for a equivalent expression.

$4+2(1+3x)$

Distribute:

$=4+(2)(1)+(2)(3x)$

$= 4+2+6x$

Combine Like Terms:

$=4+2+6x$

$=(6x)+(4+2)$

$=6x+6$

The Final Answer is : $6x+6$

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Can I get some help?

ruslelena [56]

Answer:

y = 4x - 9

Step-by-step explanation:

The points on the graph we can see clearly are (1, -5) and (2, -1).

The equation of the line is in the form <u>slope-intercept</u>, where the general formula is y = mx + b.

We need to find "m", the slope of the line; and "b", the y-intercept.

Use the two points we found in the formula for calculating slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

Choose which is point 1 and point 2:

Point 1 (1, -5) x₁ = 1 y₁ = -5

Point 2 (2, -1) x₂ = 2 y₂ = -1

Substitute x₁, x₂, y₁, and y₂

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{-1-(-5)}{2-1}$ Solve in the numerator and denominator

$m=\frac{4}{1}$ Simplify the fraction

$m=4$ Slope of the line

Find "b":

Substitute a point's "x" and "y" coordinates, and the slope, "m", into the general formula for slope-intercept.

I will use point 2:

x = 2; y = -1; m = 4

y = mx + b

-1 = (4)(2) + b Multiply

-1 = 8 + b Start isolating "b"

-1 - 8 = 8 - 8 + b Subtract 8 from both sides

-1 - 8 = b "b" is isolated

b = -9 Answer for "b", y-intercept.

The variable should be on the left side for standard formatting.

Take the general formula: y = mx + b

Replace "m" and "b" with the values we found.

y = 4x - 9

8 0

3 years ago

QUESTION 2 Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the cost

Sever21 [200]

Answer:

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patronizing the stores (i.e. x) increases by one.

Step-by-step explanation:

How is the letter b best described?

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patronizing the stores (i.e. x) increases by one.

That is, b is the coefficient of letter x and it indicates that whenever there is a one unit increase in the number of customers patronizing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

To give an example, the regression equation in the question is expressed as:

y = a + bx ............................ (1)

Where;

y = the costs of the stores = ?

a = Intercept = $1,496

b = coefficient = $2.08

x = the number of customers patronizing the stores = ?

Assume x = 1, we can predict y by substituting the values to obtain y1 as follows:

y1 = $1,496 + ($2.08 * 1) = $1,496 + $2.08 = $1,498.08

Now, assume x increases by 1 to 2 i.e. x = 2, we can predict y by substituting the values to obtain y2 as follows:

y2 = $1,496 + ($2.08 * 2) = $1,496 + $4.16 = $1,500.16

The the change is y as a result of one unit increase in x from 1 to 2 can then be obtained as follow:

Change in y = y2 - y1 = $1,500.16 - $1,498.08 = $2.08.

This therefore cofirms that b indicates that whenever there is a one unit increase in the number of customers patronizing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

7 0

3 years ago

The mean is defined as a

OverLord2011 [107]

All the numbers added up then divided by the amount of numbers.

EX: 5 + 10 + 3 + 8 + 9
35
35/5
7

8 0

3 years ago

If f(x)=x^1/2-x and g(x)=2x^3-x^1/2-x, find f(x)-g(x)

inn [45]

X^1/2 - x
-2x^3 - x^1/2 - x

-2x^3 - 2x
i think this is it

6 0

3 years ago

Read 2 more answers

What feature do plants have that provide structure and form?

Nostrana [21]

It should be a.), all plant cells have a cell wall made of cellulose, which acts as exoskeleton and makes them so stable. However on a bigger level this plant cells can also form cellulose fibers, so that c.) is not completely false :)

8 0

3 years ago