All categories

4 years ago

Solve using substitution y=3x+2, y=7x-6

Mathematics

2 answers:

Otrada [13]4 years ago

8 0

The answers are. Y=-0.6 , Y= 6/7

Veronika [31]4 years ago

3 0

Answer:

x=2, y=8 or (2, 8)

Step-by-step explanation:

y=3x+2

y=7x-6

substitute y=7x-6 into y=3x+2

7x-6=3x+2

4x=8

x=2

then plug 2 into either one

y=7(2)-6

y=8

Check answers

8=3(2) + 2 | correct

8 =7(2)-6 | correct

You might be interested in

Show that area under multivariate normal distribution over the whole range in unity. Find characteristics function of multivaria

kenny6666 [7]

Answer:

here is the answer

Step-by-step explanation:

you may please search it

8 0

3 years ago

Soap films and bubbles are colorful because the interference conditions depend on the angle of illumination (which we aren't cov

mylen [45]

Answer:

56.39 nm

Step-by-step explanation:

In order to have constructive interference total optical path difference should be an integral number of wavelengths (crest and crest should be interfered). Therefore the constructive interference condition for soap film can be written as,

$2t=(m+\frac{1}{2} ).\frac{\lambda}{n}$

where λ is the wavelength of light and n is the refractive index of soap film, t is the thickness of the film, and m=0,1,2 ...

Please note that here we include an additional 1/2λ phase shift due to reflection from air-soap interface, because refractive index of latter is higher.

In order to have its longest constructive reflection at the red end (700 nm)

$t_1=(m+\frac{1}{2} ).\frac{\lambda}{2.n}\\ \\ t_1=\frac{1}{2} .\frac{700}{(2)*(1.33)}\\ \\ t_1=131.58\ nm$

Here we take m=0.

Similarly for the constructive reflection at the blue end (400 nm)

$t_2=(m+\frac{1}{2} ).\frac{\lambda}{2.n}\\ \\ t_2=\frac{1}{2} .\frac{400}{(2)*(1.33)}\\ \\ t_2=75.19\ nm$

Hence the thickness difference should be

$t_1-t_2=131.58-75.19=56.39 \ nm$

7 0

3 years ago

consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two

Oksana_A [137]

Answer:

(-2, 1)

Step-by-step explanation:

consider the following equations: -x-y=1 y=x+3

For the lines to intersect, the values must be the same

-x-y=1

x + y = -1

y = -x - 1

Equating the y values

-x - 1 = x+ 3

-x-x = 3 + 1

-2x = 4

x = 4/-2

x = -2

Substitute x = -2 into y = x+3

y = -2 + 3

y = 1

Hence the required coordinate is (-2, 1)

7 0

3 years ago

5. Maribel makes bead necklaces. She uses a

sleet_krkn [62]

Answer:

<u>A. 52 green beads; 39 yellow beads</u>

Step-by-step explanation:

See the attachment. If we take the ratios of 4, 2 , and 3, they add to 9. The

Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.

G: 52 Beads

B: 26 Beads

Y: 39 Beads

6 0

2 years ago

What is the value of the expression? Negative 16 + 12

Vera_Pavlovna [14]

Answer:

B) Negative 4

4 0

3 years ago