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3 years ago

9(x+3)=7x-2x+4 solve forx

Mathematics

2 answers:

san4es73 [151]3 years ago

5 0

Answer:

x=-5.75

Step-by-step explanation:

9(x+3)=7x-2x+4

9x+27=5x+4

4x+27=4

4x=-23

4x/4=-23/4

x=-5.75

Paladinen [302]3 years ago

3 0

9x+12=5x+4
9x-5x=12-4
4x=8
x=8/4
x=2

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How to solve the inequality

beks73 [17]

Answer:

x $\geq$ 19/6

Step-by-step explanation:

1. Multiply both sides by 6 (the LCM of 6,3)

5/2 + 3-x <= 2(x-2)

2. Simplify 5/2+3-x to 11/2-x

11/2 - x<=2 (x-2)

3. Expand.

11/2-x<= 2x-4

4. Add x to both sides.

11/2<= 2x-4+x

5. Simplify 2x-4+x to 3x-4.

11/2<=3x-4

6. Add 4 to both sides.

11/2+4<=3x

7. Simplify 11/2+4 to 19/2

19/2<=3x

8. Divide both sides by 3

19/2 /3 <=x

9. Simplify 19/2 /3 to 19/2*3

19/2*3<=x

10. Simplify 2*3 to 6

19/6<=x

11. Switch sides.

x>= 19/6

Hope this helps!

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3 years ago

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2 years ago

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dmitriy555 [2]

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8 0

2 years ago

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?

stiv31 [10]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

5 0

3 years ago

Read 2 more answers

8 kg of mixed nuts containing 26% peanuts were mixed with 5 kg of another kind of mixed nuts that contain 52% peanuts. peanuts a

Gnesinka [82]

Answer:

36%

Step-by-step explanation:

"8 kg of mixed nuts containing 26% peanuts"

weight of peanuts: 26% * 8 kg = 0.26 * 8 kg = 2.08 kg

"5 kg ... that contain 52% peanuts"

weight of peanuts: 52% * 5 kg = 0.52 * 5 kg = 2.6 kg

Total weight of peanuts: 2.08 kg + 2.6 kg = 4.68 kg

Total weight of mixed nuts: 8 kg + 5 kg

percent of peanuts: (4.68 kg)/(13 kg) * 100% = 36%

6 0

3 years ago