All categories

3 years ago

What is the solution of 3x+y=2 & 4y=12-12x?

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

3x+y=2............(1)

4y=12-12x........(2)

Making y as subject in (1) and substitute in (2)

y = 2 - 3x......(3)

4(2 - 3x) = 12-12x

8 - 12x = 12 - 12x

12x - 12x = 12- 8

0 = 4

So no solution since variable cancelled out

You might be interested in

Someone please help me with two answer choices

otez555 [7]

Answer:

It is the first and the last three.

7 0

2 years ago

PLEASE ANSWER ASAP!!!!!!

marissa [1.9K]

Need more information to answer this!!!!

6 0

3 years ago

A 20 foot ladder is resting against the side of the house the base of the latter is 4 feet away from the house approximately how

notka56 [123]

The ladder resting against the house forms a triangle similar to the one in the image below

To answer this question you must use Pythagorean theorem

$a^{2} +b^{2}=c^{2}$

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = x

b = 4

c = 20

^^^Plug these numbers into the theorem

$x^{2} +4^{2} =20^{2}$

solve for x

$x^{2}$ + 16 = 400

$x^{2}$ = 384

x = 8√6

x ≈ 19.5959....

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0

2 years ago

Jason has $2.25 worth of dimes and quarters he has twice as many dimes as quarters determine the number of dimes and the number

iris [78.8K]

Answer: jason has 10 dimes and 5 quarters.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

Let x represent the number of dimes that he has.

Let y represent the number of quarters that he has.

He has twice as many dimes as quarters. This means that

x = 2y

Jason has $2.25 worth of dimes and quarters. This means that

0.1x + 0.25y = 2.25 - - - - - - - - - - - 1

Substituting x = 2y into equation 1, it becomes

0.1 × 2y + 0.25y = 2.25

0.2y + 0.25y = 2.25

0.45y = 2.25

y = 2.25/0.45

y = 5

x = 2y = 2 × 5

x = 10

6 0

2 years ago

What composition forms the equation p(x) when given the functions for h(x), f(x), k(x), and g(x)? PLEASE HELP!!!!! thank you!!!!

Flura [38]

Answer: Choice B. k(h(g(f(x))))

For choice B, the functions are k, h, g, f going from left to right.

===========================================================

Explanation:

We have 4x involved, so we'll need f(x)

This 4x term is inside a cubic, so we'll need g(x) as well.

So far we have

g(x) = x^3

g( f(x) ) = ( f(x) )^3

g( f(x) ) = ( 4x )^3

Then note how we are dividing that result by 2. That's the same as applying the h(x) function

$h(x) = \frac{x}{2}\\\\h(g(f(x))) = \frac{g(f(x))}{2}\\\\h(g(f(x))) = \frac{(4x)^3}{2}\\\\$

And finally, we subtract 1 from this, but that's the same as using k(x)

$k(x) = x-1\\\\k(h(g(f(x)))) = h(g(f(x)))-1\\\\k(h(g(f(x)))) = \frac{(4x)^3}{2}-1\\\\$

This leads to the answer choice B.

To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.

6 0

2 years ago