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Artemon [7]
3 years ago
7

Let f(x) = -4x - 2 and g(x) = 5x - 6. Find f×g and state its domain

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

f(x) × g(x)

= (4x - 2)(5x - 6) ← expand factors

= 20x² - 24x - 10x + 12 ← collect like terms

= 20x² - 34x + 12

This is a polynomial of degree 2 and is defined for all real values of x

domain : x ∈ R

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Diff Eq dy/dx= (ycos(x))/(1+y^2) initial condition is y(0)=1 work below ...?
Volgvan
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
5 0
3 years ago
The line represented by the equation y=-3/2x is translated up 3 units.
kati45 [8]

Answer:

(0, 3)

Step-by-step explanation:

     In slope intercept form, the y-intercept is the "b" or, in an example:

           y = mx + b

     - m is the slope

     - b is the y-intercept

     In our first equation, the b is 0 (y=-3/2x, there is no +/- b, so it is 0). If we add positive 3 (up 3 units) then the y-intercept will be 3. This, in a point, is shown with (0, 3) because the y-intercept is where the line hits the y-axis when x is 0.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
3 years ago
The perimeter of a rectangular field is 350m. If the length of the field is 99m, what is it’s width?
Juliette [100K]

Answer:

The width of the field is 3.535353535m

Step-by-step explanation:

350÷99=3.535353535

Proof: 99×3.535353535=350

3 0
3 years ago
The price of Stock A at 9 A.M. was $12.57. Since then, the price has been increasing at the rate of $ 0.11 each hour. At noon th
Firdavs [7]

Answer:

Let the hours when they equalize=h, then we have:

12.25 + .13h=13 - .09h

.13h + .09h=13 - 12.25

.22h=.75 divide both sides by .22

h=.75/.22

h=3 9/22,  hours, when they will equalize.

Step-by-step explanation:

google lol i dont know whats going on here but.....

3 0
3 years ago
Solve the system of equations by substitution
r-ruslan [8.4K]
We have y=2x and y=x+2
They both equal y, so substitute the first equation for y in the second equation.
2x=x+2
Let’s get x to one side. Let’s subtract x from both sides.
X=2
Since x=2, just plug in 2 for x.
2+2=4
So,
X=2
Y=4















6 0
3 years ago
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