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Lilit [14]
2 years ago
8

x - 15) \geqslant - 9(3 + x)" alt=" - (4x - 15) \geqslant - 9(3 + x)" align="absmiddle" class="latex-formula">
21 + x > 2( - 2 - 5x) + 6x
Mathematics
1 answer:
Kay [80]2 years ago
5 0

- (4x - 15) \geqslant  - 9(3 + x) \\  - 4x + 15 \geqslant  - 27 - 9x \\  - 4x + 9x \geqslant  - 27 - 15 \\ 5x \geqslant  - 42 \\ x \geqslant  - 8 \dfrac{2}{5}


21 + x > 2( - 2 - 5x) + 6x \\ 21 + x >  - 4 - 10x + 6x \\ x + 10x - 6x >  - 4 - 21 \\ 5x >  - 25 \\ x >  - 5

Hope this helps. - M
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Cos(2α)*sin(α-β)-cos(β-α)*sin(2α)
Hunter-Best [27]

Answer:

Step-by-step explanation:

cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)

[cos (-x)=cos x]

sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)

=sin {-(α+β)}

=-sin (α+β)

6 0
2 years ago
In which quadrant or on which axis do each of the points (-2,4) , (3,-1) ,(-1,0), (1,2) and
exis [7]

Answer:

Step-by-step explanation:

cartesian plane :

quadrant 1 : both x and y are positive

quadrant 2 : x is negative, y is positive

quadrant 3 : both x and y are negative

quadrant 4 : x is positive and y is negative

(-2,4)......we have x is negative and y is positive...so we are in quadrant 2

(3,-1)....we have x is positive and y is negative...in quadrant 4

(-1,0) ...if u have a 0 in ur points, they do not lie in any quadrant because they are located on an axis....this is located on axis x

(1,2)....both are positive....located in quadrant 1

(-3,-5)...both are negative.....quadrant 3

5 0
3 years ago
Simplify the expression 4y - 1 - 3y + 2
victus00 [196]
Okay, so basically all you need to do is combine like terms!
in this case, 4y and -3y are like terms... and -1 and 2 are like terms
so, 4y - 3y is 1y or y
and -1 + 2 is 1

so your simplified answer is y + 1

I hope this helps!!
3 0
3 years ago
4/7 - x = 6/35 what is x? how do I determine the answer?
vivado [14]
4/7 - x = 6/35

You're trying to get x by itself, so you have to subtract 4/7 from both sides.

-x = 6/35 - 4/7

You need both of the fractions to the right of the equal sign to have the same denominator so that we could simplify them, so multiply 5/5 to -4/7.

-4 /7 × 5/5 = -20/35

So, our new equation is :

-x = 6/35 - 20/35

Simplify.

-x = -14/35

Divide both sides by -1.

x = 14/35

Divide by 7.

x = 2/5

~Hope I helped!~
7 0
3 years ago
Using the numbers 3, 4, 5, and 7 create the smallest fraction and the largest fraction.(Please explain the steps)
luda_lava [24]

Answer:

largest: 7/3 smallest: 3/7

Step-by-step explanation:

the answer kinda explains the question on its own, but all it really is, is put largest on the smallest, or put the smallest an the largest.

5 0
3 years ago
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