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Naily [24]
3 years ago
9

Please help with these problems! Will mark answer as brainliest and give 30 points. You have to show your work for each problem.

Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

1) (2x + 2)(x + 2)

2)  2(x + 1)(x - 1)

3) (x^2 + 3)(x^2 - 3)

4) 2x(x + 5)(x - 2)

5) (5x + 2y)(5x - 2y)

Step-by-step explanation:

1)

2x^2 + 6x + 4

= 2x^2 + 4x + 2x + 4

= 2x(x + 2) + 2(x + 2)

= (2x + 2)(x + 2)

2)

2x^2 - 2

= 2(x^ 2 - 1) (The difference of two squares)

= 2(x + 1)(x - 1)

3)

x^4 - 9 (The difference of two squares)

=(x^2 + 3)(x^2 - 3)

4)

2x^3 + 6x^2 - 20x

= 2x(x^2 + 3x - 10)

= 2x(x + 5)(x - 2)

5)

25x^2 - 4y^2         (The difference of two squares)

= (5x + 2y)(5x - 2y)

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In the system of equations below, which variable would it be easiest to solve for? x + 4 y = 14. 3 x + 2 y = 12 The easiest to s
Murljashka [212]

Answer:

<h2>The easiest to solve for is x in the first equation</h2>

Step-by-step explanation:

Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.

x + 4 y = 14............ 1 * 3

3 x + 2 y = 12 ............ 2  * 1

Lets eliminate x first. Multiply equation 1 by 3 and subtract from equation 2.

3x + 12 y = 42.

3 x + 2 y = 12

Taking the diffrence;

12-2y =42 - 12

10y = 30

y = 3

From equation 1, x = 14-4y

x = 14-4(3)

x = 14-12

x = 2

It can be seen that the easiest way to get the value of x is by using the first equation and we are able to do the substitute easily <u>because the variable x has no coefficient in equation 1 compare to equation 2 </u>as such it will be easier to make the substitute for x in the first equation.

5 0
3 years ago
the boundary of a rectangular farm field in ireland has a straight rock wall along one side and fences along its other three sid
Inessa [10]

Answer:

781250 ft^{2}

Step-by-step explanation:

Let y is the length of the farm field

Let x is the width of the farm field

Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:

2x + y = 2500 feet

<=> y = 2500 -2x

The are of the farm has the following formula:

A = x*y

<=> A = x(2500 - 2x)

<=> A = 2500x -2x^{2}

To have  the maximum area of field in square feet, we need to use differentials to estimate:

\frac{dA}{dx} = 2500 - 4x

Set \frac{dA}{dx} = 0, we have:

2500 - 4x  = 0

<=> x = 625 feet.

=> y = 2500 - 2*625 = 1250 feet

So the maximum area of field is:

A = x*y = 625*1250 = 781250 ft^{2}

7 0
3 years ago
Please answer! Very easy and will mark brainlist.
kondor19780726 [428]

Answer:

18.57

Step-by-step explanation:

First you have to simplify the equation using cross-multiplication

You should get 7v=130

Then divide both sides by 7

You should get v=130/7

simplify that and get 18 4/7

Turn that into decimal form and you get 18.57

5 0
3 years ago
Read 2 more answers
At your high school, you are trying to determine the probability that a
AnnyKZ [126]

Cannot be determined

<u>Explanation</u>

The probability cannot be determined because we do not know the distribution of the population. We also do not know the number of students who are taking marketing or spanish or total number of students. Since the data is incomplete, we cannot determine the probability of students taking spanish or marketing.

8 0
3 years ago
Read 2 more answers
X2 + y2 - 14x + 10y + 65 = 0 <br><br> will lie ENTIRELY in Quadrant
Afina-wow [57]
Rearranging to standard form 
= (x - 7)^2 + (y + 5)^2 = -65 + 49 + 25
 (x-7)^2 + (y+5)^2 = 9 
so the centre is at (7,-5) and the radius is 3

so the circle will be entirely in Quadrant 4.
5 0
3 years ago
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