Can you solve (4x-3)/(x+2)+(15)/(x-3)

Answers

Answer 1

Answer: Please see the pic, I'd solved in it.

Answer 2

Answer: $(4x-3)/(x+2)$ + $(15)/(x-3)$ = 0
1st step: We need to have a common denominator.
So we do this:
$((4x-3)*(x-3))/((x+2)*(x-3))$ + $((15)*(x+2))/((x-3)*(x+2))$ = 0
2nd step: Distribute them
$(4x^(2)-3x-12x+9)/((x-3)(x+2))$ + $(15x+30)/((x+2)(x-3))$ = 0
3rd step: Do the rest of the equation!
We can put it on one fraction, its fine.
$(4x^2-15x+9+15x+30)/((x+2)(x-3))$ = 0
$(4x^2+39)/((x+2)(x-3))$ = 0 (-15 and 15 cancels out)
4th step: take the denominator to the other side
4x²+39 = 0 (anything × 0 = 0)
5th step: Take 39 to the other side
4x² = -39
6th step: Divide by 4 on both sides
$(4x^2)/(4)$ = $-(39)/(4)$
(4 and 4 cancels out)
x² = $-(39)/(4)$
7th step: Take the square root to keep x alone
x = $-\sqrt(39)/(4)$
It can also be written as:
x = $-( √(39) )/( √(4) )$
Final answer:
x = $-( √(39) )/(2)$

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Given h(x)=√5-x, the range of h, in inequality notation, is

Answers

assuming that the 5-x is under te sqrt sign

you cannot have sqrt of a negative
find where it equals zero
5-x=0
5=x

the limit is 5=x

x has to be greater than x
to infinity
D={x|x>5}

A balloon lifts off the ground and reaches a height of 200m. The total mass of the balloon is 1000 kg. What is the GPE of the balloon?

Answers

Answer:

1,960,000Joules

Step-by-step explanation:

Gravitational Potential Energy is expressed as;

GPE = mgh

m is the mass

g is the acceleration due to gravity

h is the height

Given

m = 1000kg

h = 200m

g = 9.8m/s

Substitute;

GPE = 1000 * 9.8 * 200

GPE = 9800 * 200

GPE = 1,960,000Joules

Hence the GPE of the balloon is 1,960,000Joules

A plane intersects a double-napped cone so that it contains the generating line.Which geometric shape is formed?
Circle
Point
Parabola
line
And
17. what is the length of the segment whose endpoints are A(-4,3) and B(10,6) in square root form.

Answers

To understand this picture 2 cones that are stacked one on top of another. A double-napped cone is created when a generator is rotated about a fixed vertical axis. A line is created when the cone is cut by a plane containing the generator. Please see the attachment to help you understand this.

I hope this helps, Regards.

Help asap I only have 10 minutes!Heidi grew her hair out for many years. Her hair was 1 1/3 of a meter long. She donated her hair by cutting off 5/6of a meter.
How long is Heidi's hair now?

Answers

Answer:

Heidi's hair is only half a meter long now.

1/2 of a meter

Step-by-step explanation:

1 1/3 - 5/6

= 1 2/6 - 5/6

= 3/6

= 1/2

I hope this helped! Happy new year :)

Answer:

3/6 or 1/2 meter lomg.

Step-by-step explanation:

A right pyramid has a regular hexagon as a base. The slant height is 20, and the perimeter of its base is 10. What is the lateral surface area of the pyramid