Mathematics, 10.07.2019 10:30 cuppykittyy

Find the slope and the intercepts of each line f(x)=2/3x+4

Answers: 1

Show answers

Answers

Answer from: Drreeaa

to find the x-intercept of any equation, we simply set y = 0, and then solve for "x".

$\bf \stackrel{f(x)}{0}=\cfrac{2}{3}x+4\implies -4=\cfrac{2x}{3}\implies -12=2x\implies \cfrac{-12}{2}=x\implies -6=x
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \stackrel{x-intercept}{(-6,0)}~\hfill$

now to find the y-intercept....hmmm wait just a second, the equation is already in slope-intercept form, therefore,

$\bf \begin{array}{|c|ll}
\cline{1-1}
slope-intercept~form\\
\cline{1-1}
\\
y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}
\\\\
\cline{1-1}
\end{array}~\hspace{7em}f(x)=\stackrel{slope}{\cfrac{2}{3}}x+\stackrel{y-intercept}{4}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \stackrel{y-intercept}{(0,4)}~\hfill$

Answer from: Quest

(2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

step-by-step explanation:

simplify the following:

x/x^2 + 3 x + 2 - (x (x + 1))/(x + 2)

combine powers. x/x^2 = x^(1 - 2):

x^(1 - 2) + 3 x + 2 - (x (x + 1))/(x + 2)

1 - 2 = -1:

x^(-1) + 3 x + 2 - (x (x + 1))/(x + 2)

put each term in 1/x + 3 x + 2 - (x (x + 1))/(x + 2) over the common denominator x (x + 2): 1/x + 3 x + 2 - (x (x + 1))/(x + 2) = (x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)):

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2))

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)) = ((x + 2) + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2)):

(2 + x + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

3 x^2 (x + 2) = 3 x^3 + 6 x^2:

(2 + x + 3 x^3 + 6 x^2 + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

2 x (x + 2) = 2 x^2 + 4 x:

(2 + x + 6 x^2 + 3 x^3 + 2 x^2 + 4 x - x^2 (x + 1))/(x (x + 2))

-x^2 (x + 1) = -x^2 - x^3:

(-x^2 - x^3 + 3 x^3 + 6 x^2 + 2 x^2 + 4 x + x + 2)/(x (x + 2))

grouping like terms, 3 x^3 - x^3 + 6 x^2 + 2 x^2 - x^2 + 4 x + x + 2 = (3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2:

((3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

3 x^3 - x^3 = 2 x^3:

(2 x^3 + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

6 x^2 + 2 x^2 - x^2 = 7 x^2:

(2 x^3 + 7 x^2 + (x + 4 x) + 2)/(x (x + 2))

x + 4 x = 5 x:

answer: (2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

Answer from: Quest

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)
I’m not sure how to solve these type of problems

I’m not sure how to solve these type of problems

Another question on Mathematics

Mathematics, 21.06.2019 19:30

Which of the following transformations will always produce a congruent figure?

Answers: 2

Answer

Mathematics, 21.06.2019 21:00

Type the correct answer in each box. use numerals instead of words. if necessary, use / fir the fraction bar(s). the graph represents the piecewise function: h

Answers: 3

Answer

Mathematics, 21.06.2019 22:00

Mr.walker is looking at the fundraiser totals for the last five years , how does the mean of the totals compare to the median?

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

Given the expression (7 ? 4i) ? (2 + 6i), perform the indicated operation and write the answer in the form a + bi.

Answers: 1

Answer

You know the right answer?

Find the slope and the intercepts of each line f(x)=2/3x+4...