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2 years ago

I need answers to this question, 3x-2y=8

Mathematics

1 answer:

gogolik [260]2 years ago

8 0

Answer:

I guess you want the y intercept form is so the answer is:

y = $\frac{3}{2}$ x - 4

Step-by-step explanation:

3x - 2y = 8

subtract 3x from both sides

-2y = -3x + 8

divide -2 from both sides

y = $\frac{3}{2}$ x - 4

and done

You might be interested in

A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

4 years ago

Joey is running an experiment with a mass on a spring. Joey models the height of the mass above the table he is working on using

galben [10]

Answer: 1.8 s

Step-by-step explanation:

Given

The height of the spring mass system above the table is given by

$h(t)=6.85\cos (3.42t)+9$

The mass is performing S.H.M with frequency $\omega =3.42$

and $\omega T=2\pi$

$\therefore T=\dfrac{2\pi }{\omega}$

time when mass returns to its original position

$T=\dfrac{2\pi }{3.42}\\\\T=1.8\ s$

5 0

3 years ago

A number is increased by 2 and then multiplied by 3. The result is 24. What is this number

Sav [38]

Answer:

The answer is 6.

Step-by-step explanation:

To find this answer, divide 24 by 3 and you get 8. 8 minus 2 is 6.

3 0

3 years ago

Sonia is hanging up decorations in the ratio of 3red: 2green: 4white . If she hangs up 135 decorations in total , how many of ea

klasskru [66]

Answer:

She hung 45reds, 30greens and 60whites

Step-by-step explanation:

If Sonia is hanging up decorations in the ratio of 3red: 2green: 4white, the total amount of different she hung is 3+2+4 = 9different colours.

Of she hung 135decorations in total, the number of red = 3/9 × 135 = 45reds

Number of green = 2/9 × 135 = 30greens

Numbe of white = 4/9 × 135= 60whites

She hung 45reds, 30greens and 60whites

8 0

3 years ago

The rule is x→y=−x. Copy and fill in the table with at least 4 points.<br> x l y<br> l<br> l

VikaD [51]

Answer:

is there numbers???

Step-by-step explanation:

5 0

3 years ago