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2 years ago

What is the equation of the line x–3y=18 in slope-intercept form?

1 answer:

4 0

Solve the equation for y

x-3y= -18

-3y = -18-x

now, divide both sides with -3

y = (-18-x)/-3

y = 6 +x/3

your slope is 1/3

and y-intercept is 6

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For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, include

Sophie [7]

...42, -193.. thats the 4th and 5th Hope this helps

7 0

2 years ago

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2 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is an a

olya-2409 [2.1K]

Answer:

<h2>The answer is 0.1493.</h2>

Step-by-step explanation:

In a standard deck there are 52 cards in total and there are 4 aces.

Two cards can be drawn from the 52 cards in $^{52}C_2 = \frac{52!}{50!\times2!} = 51\times26$ ways.

There are (52 - 4) = 48 cards rather than the aces.

From these 48 cards 2 cards can be drawn in $^{48}C_2 = \frac{48!}{46!\times2!} = 47\times24$ ways.

The probability of choosing 2 cards without aces is $\frac{47\times24}{51\times26} = \frac{188}{221}$ .

The probability of getting at least one of the cards will be an ace is $1 - \frac{188}{221} = \frac{33}{221} = 0.1493$ .

6 0

3 years ago

X/-9 ≥ 3

____ [38]

Answer:

x ≤ -27

Hope this helps,

Davinia.

8 0

3 years ago

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PLZZZZ HELP What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

earnstyle [38]

$\bf 3y=-4x+2\implies y=\cfrac{-4x+2}{3} \\\\\\ y=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{4}{3}}x+\cfrac{2}{3}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so the slope of that line above is really -4/3, now

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{4}\implies \blacktriangleright \cfrac{3}{4} \blacktriangleleft}}$

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2 years ago

What is the middle term of the product of (5a - 7)(2a - 1)?

rodikova [14]

(5a-7) (2a-1) = -19a

7 0

3 years ago