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Soloha48 [4]
2 years ago
6

2y² - 9y - 2 + 4 (y + 1) =​

Mathematics
2 answers:
GarryVolchara [31]2 years ago
5 0

Answer:

2y² - 5y + 2

Step-by-step explanation:

Original equation:

2y² - 9y - 2 + 4(y + 1) =​

Use distributive property

4 · y = 4y

4 · 1 = 4

Plug these values back into the equation:

2y² - 9y - 2 + 4y + 4 = ?

Combine like terms

2y² - 5y - 2 + 4

Combine more like terms

2y² - 5y + 2

That is the most simplified version

Hope this helps :)

Please consider Brainliest :)

Nuetrik [128]2 years ago
3 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2 {y}^{2}  - 9y - 2 + 4(y + 1) =

2 {y}^{2}  - 9y - 2 + 4y + 4 =

2 {y}^{2}  - 9y + 4y - 2 + 4 =

Collect like terms

2 {y}^{2}  - 5y + 2 =

(2y  - 1 )(y - 2)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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Step-by-step explanation:

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7 0
3 years ago
Consider the graphed function.
aev [14]

Answer:

Domain: -5 \leq x < 1

Range: -4 \leq y < 7

Step-by-step explanation:

The domain is the x-values for which the function exists. It starts off at x=-5, and since the dot is closed it includes it, and finishes at x = 1, where the dot is open.

The range is the y-values for which the function exists. It starts at y= -4, and since the dot is closed there, it includes his value. Then, it finishes at y = 7, where the dot is open meaning it doesn't include it.

4 0
3 years ago
Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up an th
frosja888 [35]

Answer:

3x - y = 0; 2x - y = -5

Step-by-step explanation:

Let x be the present age of Hans and y be the present age of Grace,

Since, in present Grace is three times as old as Hans,

⇒ y = 3x

⇒ 3x - y = 0

Now, after 5 years,

The age of Hans = x + 5,

And, the age of Grace = y + 5

Also, in 5 years Grace will be twice as old as Hans is then,

⇒ y + 5 = 2 ( x + 5 )

⇒ y + 5 = 2x + 10

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3x - y = 0; 2x - y = -5

5 0
3 years ago
9.84615384615 in a fraction
choli [55]

Answer:

Step-by-step explanation:

128/13

3 0
3 years ago
An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn
Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0
2 years ago
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