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3 years ago

Which of the following is a factor of 6x2 + 17x + 12?

Mathematics

2 answers:

TiliK225 [7]3 years ago

7 0

Hope this helps you...!!!!!!

polet [3.4K]3 years ago

3 0

Answer:

option A, (3x + 4)

Step-by-step explanation:

We have to find the factors of 6x² + 17x + 12

To factorize the expression we will multiply the coefficients of x² and constant term 12 first.

6 × 12 = 72

We have to assume two numbers which on addition give 17 and on multiplication give 72.

Now we get the numbers as 9 and 8.

6x² + 17x + 12 = 6x² + 9x + 8x + 12

= 3x ( 2x + 3 ) + 4(2x + 3)

= ( 3x + 4 ) (2x + 3 )

Therefore, option A, (3x + 4) will be the answer.

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Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 . C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

$\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C$

$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

7 0

3 years ago

Molly, a purchasing agent for a high-tech firm, is ordering computers for a new branch office. Laptops cost $540 apiece and desk

NISA [10]

Answer:

540x+680y<=20000

Step-by-step explanation:

x will be the number of laptops. Since they are $540 each, 540x is the amount spent on laptops, depending on how many (x) are purchased.

y will be the number if desktops. Since they are $680 each, 680y is the amount spent on desktops, depending on how many (y) are purchased.

Adding all the money spent on laptops and desktops, we get

540x + 680y. This amount must be less than the $20000. It can be exactly $20000 also. But it cannot be more than $20000.

540x+680y<=20000

3 0

1 year ago

The slope of the graph of y = x is

kicyunya [14]

Step One: Identify two points on the line.Step Two: Select one to be (x1, y1) and the other to be (x2, y2).Step Three: Use the slope equation to calculate slope. hope this helps

6 0

3 years ago

Read 2 more answers

Look at picture for problem

Jobisdone [24]

Add 2 3/4 and 2 1/2 and you’ll get ur answer. area means total and when u see area, it means add

8 0

2 years ago

For which function does f decrease by 15% every time x increases by 1

LenaWriter [7]

Answer:

$f(x) = 0.85^{x}$

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

$f(x) = {(1 - 0.15)}^{x}$

We simplify the parenthesis to get:

$f(x) = 0.85^{x}$

Therefore the decrease by 15% every time x increases by 1 is

$f(x) = {0.85}^{x}$

The second choice is correct.

7 0

3 years ago