(1 point) how many 6-letter words that have the letter 'x' are possible? letters may be repeated, and the words don't have to be meaningful. (hint: first count the words without 'x' .)

Since, there are 26 letters in total.

So, total permutations of 26 letters in the 6 letter word will be = 26*26*26*26*26*26 = 26^6

No. of letters that doesn’t include X = 26-1 =25

Permutations of letters that doesn’t include x = 25*25*25*25*25*25 = 25^6

So, total number of permutations that includes x= total permutations of 26 letters- permutation of letters that doesn’t include x

= (26^6 - 25^6) = 64,775,151

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

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )