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mina [271]
3 years ago
7

Write the following inequality in slope-intercept form. −6x + 2y ≤ 42

Mathematics
2 answers:
zubka84 [21]3 years ago
7 0
Add the 6x to both sides. Then divide both sides by 2 to get y by itself.

y <= 6x + 42

Note: if it were a -2y, you’d have to flip the inequality sign when dividing by that negative 2.

:)
jeyben [28]3 years ago
7 0

Answer:  The required slope-intercept form is y\leq 3x+21..

Step-by-step explanation:  We are given to write the following inequality in slope-intercept form :

-6x+2y\leq 42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

the slope-intercept form of an inequality of the given form is as follows :

y\leq mx+c, where m is the slope and c is the y-intercept.

From inequality (i), we have

-6x+2y\leq 42\\\\\Rightarrow 2y\leq6x+42\\\\\Rightarrow y\leq\dfrac{6}{2}x+\dfrac{42}{2}\\\\\Rightarrow y\leq 3x+21.

Thus, the required slope-intercept form is y\leq 3x+21..

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What is the least number of 4 digits which is divided by 12 ,15,20 and 35?
gulaghasi [49]
Here, First of all, you need to calculate the LCM of 12, 15, 20 & 35
LCM of 12, 15, 20 & 35 is 420

Now, We know, smallest 4-digit number is 1000, 
Divide, 420 from 1000, It cuts on 840 (with quotient 2), 

So, we need next term, in order to know, just add another 420 to 840, which is:
840 + 420 = 1260

In short, Your Answer would be 1260

Hope this helps!
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tankabanditka [31]

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I think that answer is C

Step-by-step explanation:

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√23/√45 or √23/3√5

Step-by-step explanation:

Cosine is adjacent over hypotenuse. Angle W has an adjacent side of WU(√23) and WV .You know the adjacent but not the hypotenuse, so you will use the formula a^2+b^2=c^2 to find the hypotenuse. Plug in the sides for A and B -> (√23)^2+(√22)^2=c^2. Simplify it --> 23+22=c^2 --> 45=c^2. Solve for C alone (not c^2). √45=c. Then use the cosine formula (adjacent/hypotenuse) to plug in the numbers.

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Plz help me plz I need your I am struggling so badly I need your help plz help me I’m begging you plz plz help me
mars1129 [50]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Just substitute the given value into anywhere you see the term x:

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Now we have:

2 x 16 + 12

(now the multiplication needs to be calculated)

16 x 2 = 32

Now we have:

32 + 12

Add them together to get the answer:

44 <== this is the answer

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