Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 12, and 8
choose the correct answer below.
a. 8x + 12
b. 12x + 8
c.(12+8)x
d. 96+x

B

Step-by-step explanation:

The product of a number x and 12 means

multiply x and 12

that is:

12*x

=12x

The sum of THIS and 8 would thus be:

12x + 8

So we can see answer choice B is right.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form