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3 years ago

What is 6x – 8 = 4 written as a system? y = 6x – 8 y = –4 y = 6x – 8 y = 4 y = –6x + 8 y = 4

Mathematics

2 answers:

Reptile [31]3 years ago

8 0

Answer:

6x – 8 = 4 written as a system. Hence second option is correct

Step-by-step explanation:

mestny [16]3 years ago

6 0

6x – 8 = 4 written as a system. Hence second option is correct

<u>Solution:</u>

Given, equation is 6x – 8 = 4.

We have to find the equivalent system from given options.

First let us solve given equation, 6x – 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2

Now, let us solve one by one option ,so that when we get above solution, that is correct option.

y = 6x – 8 and y = -4 ⇒ put y = -4 in y = 6x – 8 ⇒ 6x – 8 = -4 ⇒ 6x = 8 – 4

⇒ 6x = 4 ⇒ x ≠ 2, wrong option

y = 6x – 8 and y = 4 ⇒ put y = 4 in y = 6x – 8 ⇒ 6x – 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option.

y = -6x + 8 and y = 4 ⇒ put y = 4 in y = -6x + 8 ⇒ -6x + 8 = 4 ⇒ 6x = 8 – 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option

hence, second option is correct.

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o-na [289]

Answer: x1 = 0; x2 = 5/3; x3 = 1/3

x1 + 2x2 - x3 = 3 => 2x1 + 4x2 - 2x3 = 6

2x1 + x2 - 2x3 = 1

=> 4x2 - x2 = 5

⇔ 3x2 = 5

⇔ x2 = 5/3

with x2 = 5/3, we have: x1 - x3 = 3 - 10/3 = -1/3

3x1 - 5x3 = 5 - 4.5/3 = -5/3

=> x1 = 0

x3 = 1/3

Step-by-step explanation:

7 0

2 years ago

sketch the curve represented by the parametric equations (indicate the orientation of the curve), write the corresponding rectan

pychu [463]

Answer:

Reduced equaton is $5x-3y+\frac{28}{3}=0$ .

Step-by-step explanation:

Given parametric equation is,

$x=3t-5$ and $y=5t+1$

Now, $x=3t-5\implies t=\frac{x+5}{3}$ substitute in second equation we get,

$y=\frac{5}{3}(x+5)+1$

$y=\frac{5}{3}x+\frac{28}{9}$

$\implies 5x-3y+\frac{28}{3}=0$

which is the corresponding rectangular equation after eliinating the parameter.

Now consider,

$y=\frac{5}{3}x+\frac{28}{9}$

Of which,

Slope : $\frac{5}{3}$

when,

$x=0, y=\frac{28}{9}=3.1$

$x=1, y=\frac{43}{9}=4.8; x=-1, y=\frac{13}{9}=1.4$

$x=2, y=\frac{58}{9}=6.4; x=-2, y=\frac{-2}{9}=-0.2$

$x=3, y=\frac{73}{9}=8.1; x=-3, y=\frac{-17}{9}=-1.8$

$x=4, y=\frac{88}{9}=9.8; x=-4, y=\frac{-32}{9}=-3.6$

$x=5, y=\frac{103}{9}=11.4; x=-5, y=\frac{-47}{9}=-5.2$

ans so on. Thus sketching th curve will look like given,

5 0

2 years ago

Which of the following is a disadvantage to using graphs and diagrams? Check all that apply.

forsale [732]

The first answer is C. The information may be in a form that is difficult to use. And the second on is D. They must always be used with an equation.

4 0

3 years ago

Read 2 more answers

35 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?

Mashutka [201]

Answer:

70%

Step-by-step explanation:

Percentage is out of 100

35/50 change denominator

multiply both numerator and denominator by 2

70/100= 70%

8 0

2 years ago

In the Cartesian Coordinate System, the intersection of the axis is called the origin. What is this called in the Polar coordina

Nookie1986 [14]

it's plural so axes*

and in pilar coordinates, the axes are circular so they never intersect but the centre point is still called origin.

4 0

3 years ago