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3 years ago

Which ordered pair is in the solution set of 6x + 4y ≤ −2?

Mathematics

1 answer:

Nutka1998 [239]3 years ago

4 0

Answer:

x≤ −2/3y + −1/3

Step-by-step explanation:

because...

Step 1: Add -4y to both sides.

6x + 4y + −4y ≤ −2+−4y

6x ≤ −4y −2

Step 2: Divide both sides by 6.

6x/6 ≤ $\frac{-4y-2}{6}$

x ≤ −2/3y + −1/3

Therefor, the answer is x≤ −2/3y + −1/3

* Hopefully this helps:) Mark me the brainliest:)!!

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How do u do number 2???

Mila [183]

Answer:

The answer is C.

Step-by-step explanation:

Well all you have to do is plug in X for the X, and Y for the Y.

So for C it says y= -5x+27 and you plug in (6, -3). X is 6. Y is -3. It would be

-3= -5(6) +27

-3= -30+ 27

-3= -3

7 0

3 years ago

Read 2 more answers

Let X denote the life of a semiconductor laser (in hours) with the following probabilities: P(X ≤ 5000) = 0.05 and P(X > 7000

Anna [14]

Answer:

a) P [ x ≤ 7000] is 0.55

b) P [ x > 5000 ] = 0.95

c) P [ 5000 < x ≤ 7000 ] = 0,5

Step-by-step explanation:

a) P [ x > 7000 ] = 0.45 straightforward P [ x ≤ 7000] is 0.55

The whole spectrum of probabilities is 1 which in this particular case is divided in two parts having 7000 as a limit, then we subtact 1 - 0.45

b) P [ x ≤ 5000] = 0.05 again we get P [ x > 5000] taking 1-0.05 to get

P [ x > 5000 ] = 0.95

c) P [ 5000 < x ≤ 7000 ]

Under Normal curve distribution the probability of x ≤ 7000 includes values smallers ( to the left of 5000) so we subtract from 0.55 - 0.05 = 0.50

c) P [ 5000 < x ≤ 7000 ] = 0,5

6 0

2 years ago

Sin theata=3/5, then cos theata= ?

Elena-2011 [213]

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{hypotenuse}{5}}\impliedby \textit{let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a
\qquad
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{5^2-3^2}=a\implies \pm\sqrt{25-9}=a\implies \pm 4=a
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{\pm 4}}{\stackrel{hypotenuse}{5}}~\hfill$

5 0

3 years ago

The odds that you will pick a spade from a standard deck of 52 cards is 4:39. ToF

Grace [21]

There are 13 spades and total number of cards is 52.

so the odds are 13:(52-13) = 13:39.

F

7 0

2 years ago

Read 2 more answers

7. The bottom of a river makes a V-shape that can be modeled with the absolute value function,

hjlf

Answer:

If one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

Step-by-step explanation:

Given that:

The absolute value function:

$d(h) = \dfrac{1}{6}|h - 300| - 50$

To calculate the position of the buoy where the river bottom is 20 feet below the surface, we equate the absolute value function to the negative value of 20 feet and then solve it for h.

d(h) = -20

$d(h) = \dfrac{1}{6}|h - 300| - 50 = -20$

Let us add the sum of 50 on both sides, then:

$= \dfrac{1}{6}|h - 300| - 50+50 = -20+50$

$= \dfrac{1}{6}|h - 300| = 30$

By multiplying 6 on both sides, we have:

|h - 300| = 30 (6)

|h - 300| = 180

We can attempt the above expression by rewriting it as two equations:

h - 300 = 180 or h - 300 = - 180

Let us add 300 to both sides from the two expressions above:

h - 300 + 300 = 180 + 300 or h - 300 + 300 = -180 + 300

h = 480 or h = 120

Thus, if one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

8 0

2 years ago