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horsena [70]
3 years ago
7

Solutions of 3x+2y=4 and 6x+4y=8

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
6 0

Step-by-step explanation:

3x + 2y = 4

2y = -3x +4

y = -3/2x +2

6x+4y = 8

4y = -6x +8

y = -6/4x + 8

y = -3/2x + 8

same slope, bit different intercepts. they are parallel. no solutions

Alecsey [184]3 years ago
4 0

Answer:

Infinite solutions

Step-by-step explanation:

1) First, you can solve this easily by elimination. Multiply the first equation by -2 in order to cancel out terms when adding to the second equation.

2) Then, add the new set of equations together. However, everything cancels out, bringing us to 0 = 0. This means that the lines the equations make must be the same. Thus, all real numbers must make this equation true, meaning that there are infinite solutions.

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Find the dicontinuities of the function.
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Answer:

Step-by-step explanation:

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f(x)=\frac{x^2+12x+27}{x^2+4x+3} because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)} and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

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3 years ago
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Maru [420]

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3 0
3 years ago
A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He p
eduard

Answer:

The second ramp needs to have 25°.

Step-by-step explanation:

Required ramp angle for driving the car from the ground = 35°.

First ramp angle = 15°

Therefore, second ramp angle equals required ramp angle minus first ramp angle, which is = 35° - 15° = 20°

The 20° ramp angle will make the total ramp angle to be equal to 35°.

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3 years ago
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Sholpan [36]

Answer:

The equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}

Step-by-step explanation:

Given the points

  • (-8, 5)
  • (-1, -5)

Finding the slope

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)

m=\frac{-5-5}{-1-\left(-8\right)}

m=-\frac{10}{7}

We know the slope-intercept form of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

5\:=\:\frac{-10}{7}\left(-8\right)+b

\frac{80}{7}+b=5

b=-\frac{45}{7}

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

y = mx+b

y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)

y\:=\:\frac{-10}{7}x-\frac{45}{7}

Thus, the equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}
7 0
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What Is the answer to 7ft +4ft + 10ft​
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Answer:

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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