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3 years ago

Factor the polynomial expression -16 times X squared minus 3X -4

Mathematics

1 answer:

NISA [10]3 years ago

3 0

Answer:

16x^2 -3x-4

Step-by-step explanation:

Im guessing the -4 is subtracting from 3x so that's the awnser above. But if it is a exponet then your answer would be: -16x^4+2-3/x^4 the slash is the same as dividing.

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Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).

Svetradugi [14.3K]

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

$\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5$

well then therefore

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}$

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

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

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2 years ago

Find the area of the figure to the nearest tenth.

ad-work [718]

Answer: 31.3 square feet

Step-by-step explanation:

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2 years ago

Solve for x<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20-%206%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B2x%20%2B%205%7D%7B3%7

Marizza181 [45]

Answer:

x = 9.5

Step-by-step explanation:

Given

$\frac{4x-6}{4}$ = $\frac{2x+5}{3}$ ( cross- multiply )

3(4x - 6) = 4(2x + 5) ← distribute parenthesis on both sides

12x - 18 = 8x + 20 ( subtract 8x from both sides )

4x - 18 = 20 ( add 18 to both sides )

4x = 38 ( divide both sides by 4 )

x = $\frac{38}{4}$ = 9.5

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4 years ago

1. Marcus can type 40 words in half a minute. Rhys can type 100 words in one and a half minutes. Which student can type at a gre

Bingel [31]

If Marcus can type 40 words in half a minute, then 40 times 2 equals 80. 80 words a minute for Marcus. If Rhys can type 100 words in 1 1/2 minute, 100/ 1.5 = 66.66 and 80>66.66 so Marcus can type a greater rate of words per minute.

5 0

3 years ago

Factor: 25 m 6 −16 25m6−16 (5m3 + 8)(5m3 – 8) (5m3 – 8)2 (5m3 – 4)2 (5m3 + 4)(5m3 – 4)

Liono4ka [1.6K]

Answer:

(5m^3+4)(5m^3-4)

Step-by-step explanation:

(*) A^2 - B^2 =(A+B) (A-B)

25m^6-16=

(5m^3)^2 - 4^2=(*)

(5m^3+4)(5m^3-4)

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4 years ago