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Zinaida [17]
2 years ago
6

Factoring by grouping x^2 + 4y + 2x + 2xy pls explain with work too!!!

Mathematics
2 answers:
Gennadij [26K]2 years ago
7 0

{x}^{2}  + 4y + 2x + 2xy

We can factorise this expression by grouping. First let us arrange it in this way

=  {x}^{2}  + 2xy + 2x + 4y

Let us bracket them like this:

= ( {x}^{2}  + 2xy) + (2x+ 4y)

In the first bracket portion, take x as common and in the second expression, take 2 as common.

= x(x + 2y) + 2(x + 2y) \\  = (x + 2)(x + 2y)

<u>Answer</u><u>:</u>

(x + 2)(x + 2y)

Hope you could understand.

If you have any query, feel free to ask.

Mamont248 [21]2 years ago
4 0

\tt \:  {x}^{2}  + 4y + 2x + 2xy

Factor out x from the expression

\tt \: x \times (x + 2) + 4y + 2xy

Factor out 2y from the expression

\tt \: x \times (x + 2) + 2y \times (2 + x)

Factor out x+2 from the expression

\boxed{ \sf \: (x + 2) \times (x + 2y)}

➪ <em>Therefore, The factors are: </em>(x+2) & (x+2y)

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Given that 1/3 of a box is 6 dollars, we can say that per dollar is 1/18 of a box. If you have 4 dollars, this would mean that you can buy 4/18 of a box to 2/9 of a box. Hope this answers your question. Have a great day ahead!
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3 years ago
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The function — is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the ti
MissTica

The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].

<h3>What are the domain and range of the function as given in the task content?</h3>

It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.

Also, the range of a function is the set of all possible output values for such function.

On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].

While the range is the difference between the minimum and maximum height attained and can be computed as follows;

At minimum height, t = 0; hence, h(t) = 0.

At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.

Hence, h(1.92) = 18.05.

The range is therefore; [0, 18.05].

Read more on domain and range;

brainly.com/question/1942755

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6 0
2 years ago
The equation of line one is 3x – 2y = 5. The equation of line two is x + 2y = 7. What is the point
Airida [17]
The answer should be 3,2
7 0
3 years ago
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I need help with this! Quick ASAP?
sp2606 [1]

Answer:

a) F

b) B, E, D

Step-by-step explanation:

a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values

From the given option, the rate of change of the <em>y </em>to the<em> </em>x-values of B = the gradient = (4 units)/(2 units) = 2

The gradient of F = (-3units)/(1 unit) = -3

The gradient of A = 4/4 = 1

The gradient of C = -2/5

The gradient of D = 2/6 = 1/3

The gradient of E = 3/4

The segment with the greatest gradient is F

b) The steepest segment has the higher gradient

From their calculated we have;

The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3

Therefore, we have;

B, E, D.

6 0
3 years ago
Can you help
snow_tiger [21]
Positive if I looked at graph correctly
8 0
3 years ago
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