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3 years ago

Solve for y: -2(5y-1)-y=-4(y-3)

Mathematics

1 answer:

Talja [164]3 years ago

5 0

Answer:

Step-by-step explanation:

- 2(5y - 1) - y = - 4(y - 3)

Expand the terms in the bracket

That's

-10y + 2 - y = - 4y + 12

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

That's

- 10y - y + 4y = 12 - 2

- 7y = 10

Divide both sides by - 7

We have the final answer as

Hope this helps you

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Simplify the expression. (Will mark if correct)

Sergeu [11.5K]

Answer:

The answer is B) 5a + b

Step-by-step explanation:

9a - 4a is 5a

3b - 2b is 1b or just b therefore the answer is

5a + b

4 0

2 years ago

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Find an equation for y (in terms of β and α). Then find tan y.

dmitriy555 [2]

This can be expanded through the tangent angle addition formula:

tan(α+β)=tanα+tanβ1−tan -α + tanβ

Thus,tan(x+y)=tanx+tany1−tan x tany

Hope it helps you

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2 years ago

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Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.

zysi [14]

Answer:

328.05 dollars

7 years

Step-by-step explanation:

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the <u>initial price is $500</u>, the <u>value depreciates 10% each year </u>because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

- value of the video game after second year 90% of 450 so is 405

-value of the video game after third year 90% of 405 so is 364.5

-value of the video game after <u>fourth year</u> 90% of 364.5 so is 328.05

The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

y= 500(.9)^x

----------------------------------------------------------------------------

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

8 0

3 years ago

What is this!!!!!!!!!!!!

Karo-lina-s [1.5K]

Answer:

MARK ME BRAINLIEST!! THANKS BOO!!!!!!!!!!!

Step-by-step explanation:

7 0

3 years ago

Can someone help me please please please

marissa [1.9K]

Use the Pythagorean theorem $a^{2} + b^{2} = c^{2}$ to find the missing side length of a right triangle

In this case, after you plug in the given numbers your equation is $12^{2} + y^{2} = 20^{2}$

Then, Just solve that equation for y.

$144 + y^{2} = 400$

$x^{2} = 256$

$\sqrt{} y^{2} = \sqrt{256}$

y = 16

So the answer is B, 16 cm.

I hope this helps, please feel free to ask questions if you're still confused :)

7 0

3 years ago