Mathematics, 18.09.2020 01:01 soevse

How do i solve question 25

Answers: 3

Show answers

Answers

$\frac{x+2}{x-3} \ \textgreater \ 4$ or $\frac{x+2}{x-3} \ \textless \ -4$

$x+2 \ \textgreater \ 4(x-3)$

$x+2 \ \textgreater \ 4x-12$

$x+14 \ \textgreater \ 4x$

$14 \ \textgreater \ 3x$

$4 \frac{2}{3} \ \textgreater \ x$ <-answer

$\frac{x+2}{x-3}\ \textless \ - 4$

$x+2\ \textless \ - 4(x-3)$

$x+2\ \textless \ - 4x+12$

$x-10\ \textless \ - 4x$

$-10\ \textless \ - 5x$

$2\ \textless \ x$ <-answer

2 < x < 14/3

Answer from: carsonbake

I never learned to do operations with absolute values, so I don't have
the standard tools to use. The only thing I have to work with when I run
into one of these is my brain. So there are probably better ways to do it,
but here's how I would approach this one:

The fraction itself is either positive or negative. Either way, its absolute
value is less than 4.

If the fraction is positive, then you can just throw away the absolute-value
bars, and work it like a normal inequality ... multiply each side by (x-3), then
work it down so there's nothing but 'x' on the left side, etc.

If the fraction is negative AND its absolute value is less than 4, then the
fraction itself is greater than -4 . Throw away the absolute-value bars,
change the inequality to say that, and then work it like a normal inequality.

Do BOTH of these, and you'll come out with two inequalities for 'x' ... it's
more than something AND less than something else. Put these together
into one inequality, and you have the whole range for what 'x' can be.

Sounds complicated. One of these days, I should learn the right way
to do these.

Answer from: Quest

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function $y=f(x)$ the average rate of change from point $a(a,f(a))$ to point $b(b,f(b))$ can be calculated as

$\text{average rate of change}=\dfrac{f(b)-f(a)}{b-a}.$

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

$\text{average rate of change}=\dfrac{2-8}{10-2}=\dfrac{-6}{8}=-\dfrac{3}{4}.$

The graph below shows the number of houses sold over x days. what is the average rate of change from

Answer from: Quest

14.29%

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Which ahows the graph of the solution set of 6x+4y< 12

Answers: 3

Answer

Mathematics, 21.06.2019 16:30

Which composition of similarity transformations maps polygon abcd to polygon a'b'c'd'? a dilation with a scale factor less than 1 and then a reflection a dilation with a scale factor less than 1 and then a translation a dilation with a scale factor greater than 1 and then a reflection a dilation with a scale factor greater than 1 and then a translation

Answers: 3

Answer

Mathematics, 21.06.2019 18:00

Negative 5 1/12 + negative 4 1/4 + 6 3/4

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

Quadrilateral abcd in the figure below represents a scaled-down model of a walkway around a historic site. quadrilateral efgh represents the actual walkway. abcd is similar to efgh. what is the total length, in feet of the actual walkway?

Answers: 2

Answer

You know the right answer?

How do i solve question 25
...

Questions