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2 years ago

Which of the following have exactly 1 solution?

Mathematics

1 answer:

Brrunno [24]2 years ago

4 0

The equations;

-5x + 12 = -12x - 12
5x+12=-5x-12
−5x+12=5x+12
−5x+12=5x−5 all have exactly 1 solution.

<h3>What is a linear solution?</h3>

A linear equation is one in which there is only one solution. In a linear solution, the highest power of x is 1.

If we look at the equations listed, we will discover that they are all linear equations, as such;

-5x + 12 = -12x - 12
5x+12=-5x-12
−5x+12=5x+12
−5x+12=5x−5

Will all have exactly 1 solution.

Learn more about linear equation:brainly.com/question/2420285?

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If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num

Hitman42 [59]

Answer:

The original fraction is $\frac{6}{14}$ .

Step-by-step explanation:

Solution,

Let the fraction be' $\frac{x}{y}$ '.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

$\frac{x+2}{y+2}=\frac{1}{2}$

On using cross multiplication method, we get;

$2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1$

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

$\frac{x-2}{y-2}=\frac{1}{3}$

On using cross multiplication method, we get;

$3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2$

Now Substituting the equation 1 in equation 1 we get;

$3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6$

Now Substituting the value of x in equation 1 we get;

$y=2x+2\\\\y=2\times6+2 = 14$

Hence The original fraction is $\frac{6}{14}$ .

4 0

4 years ago

HELP ASAP PLS.

Sindrei [870]

Step-by-step explanation:

I have no idea if I'm doing it right but my guess would be to take the values that we get from f(x) and g(x) when x = 1. Therefore we get that f(x) is equal to 4 and g(x) is equal to -1. We than just do f/g which is 4/-1 which gives us the final answer of -4 which is option B.

Answer: Option B, -4

5 0

2 years ago

“When I left the house this morning, I noticed that I was short on cash,” Gary said. “I spent one-half of what I had on my train

nexus9112 [7]

I don't know the answer

8 0

4 years ago

A rectangular prism made of wood has a length of 10 centimeters, a width of 8 centimeters, and a height of 12 centimeters. A rec

lukranit [14]

Answer:

Prism volume = lbh

= 10*8*12

= 960cm^3

Note: I'm assuming the hole was cut right through it...

Hole volume = lbh

= 2*3*12

= 72cm^3

Final volume = 960 - 72 = 888cm^3

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4 0

3 years ago

Please please give answer

rodikova [14]

Answer:

Then the total area is 116 cm^2 which agrees with answer D

Step-by-step explanation:

Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)

The Area of a rectangle is the product: base x height

In our case :

Area of Big rectangle = 12 cm x 7 cm = 84 cm^2

Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2

Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2

8 0

3 years ago