The sum of j and 477 is 55

ehidna [41]

Factor out 4x² from everybody
4x²(x²-6x+9)
factor inner
what 2 numbers multipliy to gete 9 and add to get -6
-3 and -3
4x²(x-3)(x-3)
or
4x²(x-3)²

first option

3 0

2 years ago

Read 2 more answers

Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent readin

oksian1 [2.3K]

Answer:

Here's the answer I got for this problem! Hope it helps! :)

Step-by-step explanation:

x = 77.789

y = 23

8 0

2 years ago

Find the equation of a line passing through (-4,-3) and perpendicular to<br> 3 x + 2 y = 14.

Reil [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$3x+2y=14\implies 2y=-3x+14\implies y=\cfrac{-3x+14}{2}\implies y = \cfrac{-3x}{2}+\cfrac{14}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so therefore

$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3}\implies \cfrac{2}{3}}}$

so we're really looking for the equation of a line whose slope is 2/3 and passes through (-4 , -3)

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{2}{3}}(x-\stackrel{x_1}{(-4)}) \implies y+3=\cfrac{2}{3}(x+4) \\\\\\ y+3=\cfrac{2}{3}x+\cfrac{8}{3}\implies y=\cfrac{2}{3}x+\cfrac{8}{3}-3\implies y=\cfrac{2}{3}x-\cfrac{1}{3}$

3 0

1 year ago

Which of the following inequalities is equivalent to 3-(w+2)>4+2w

Kay [80]

$3 - w - 2 > 4 + 2w \\ - w - 2w > 4 + 2 - 3 \\ - 3w > 6 - 3 \\ \frac{ - 3w}{ - 3} > \frac{3}{ - 3} \\ w < - 1$
The sign at the end changes because both sides of the equation are being divided by a negative number.

4 0

2 years ago

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How many yards<br> carpeting is needed to cover a 60 feet length room and 40 feet width

Bad White [126]

Answer:

$266$ $\frac{2}{3}$ $yards$

Step-by-step explanation:

1. Approach

First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, $3feet=1yard$ . Next, find the area of the room by multiplying the length by the width.

2. Convert the unit of measurement

The measurement unit is given in feet, one must convert it into yards. The conversion rate between yards and feet is, $3feet=1yard$ .

$60feet=20yards\\\\40feet=13\frac{1}{3}yards$

3. Find the area of the room

Now multiply the length by the width to find the area of the room.

$20yards*13\frac{1}{3}yrads\\\\= 20 * \frac{40}{3}\\\\=\frac{800}{3}\\\\= 266\frac{2}{3}_{.}yards^{2}$

5 0

2 years ago