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puteri [66]
3 years ago
8

FINDDD VALUE OF Y!!!!

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer:

The sum of the internal ángles = 360°

(3y+40)°  and  (3x-70°) are suplementary angles = 180°

then:

(3x-70) + (3y+40) + 120 + x = 360     ⇒ first eq.

(3y+40) + (3x-70) = 180      ⇒  second eq

development:

from the first eq.

3x + x + 3y  =  360  + 70 - 40 - 120

4x + 3y = 430 - 160

4x + 3y = 270       ⇒  third eq.

3y = 270 - 4x

y = (270 - 4x) / 3    ⇒  fourth eq.

from the secon eq.:

3y + 3x = 180 + 70 - 40

3y + 3x = 250 - 40

3y + 3x = 210    ⇒  fifth eq.

multiply by -1  the fifth eq and sum with the third eq.

  -3y  - 3x = -210    ⇒   (fifth eq. *-1)

   3y  + 4x = 270

⇒  0   +  x  = 60

x = 60°

from the fourth eq.

y = (270-4x)/3

y = (270-(4*60)) / 3

y = (270 - 240) / 3

y = 30/3

y = 10°

Probe:

from the first eq.

(3x-70) + (3y+40) + 120 + x = 360

3*60 - 70 + 3*10 + 40 + 120 + 60 = 360

180 - 70 + 30 + 40 + 120 + 60 = 360

180 + 30 + 40 + 120 + 60 - 70 = 360

430 - 70 = 360

Answer:

y = 10

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The function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website lau
Wittaler [7]

Answer:

y = 30x+290

Step-by-step explanation:

Given

y=-x^2+65x+256

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

y=-x^2+65x+256

Substitute: x =1

y=-(1)^2+65*1+256

y=-1+65+256

y=320

This implies:

(x_1,y_1) = (1,320)

On day 34, both websites have the same subscribers.

This implies that:

y=-x^2+65x+256

Substitute: x =34

y=-(34)^2+65*34+256

y=-1156+2210+256

y=1310

This implies:

(x_2,y_2) = (34,1310)

To calculate the linear function of the competitor, we have:

(x_1,y_1) = (1,320)

(x_2,y_2) = (34,1310)

Calculate slope (m)

m = \frac{y_2 - y_1}{x_2 -x_1}

m = \frac{1310 - 320}{34-1}

m = \frac{990}{33}

m = 30

The equation is then calculated as:

y = m(x - x_1) + y_1

This gives:

y = 30 * (x - 1) + 320

Open bracket

y = 30x - 30 + 320

<em></em>y = 30x+290<em> --- This represents the linear function of the competitor's website</em>

5 0
2 years ago
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