[2m-n+p]^2-[2m+n-p]^2

SSSSS [86.1K]

5. x <= 2
6. x > -6
7. w>1
8. m>-4
9. x <= 2 or x>= 8
10. no solution
11. n>= -1 or n <-5
12. k= 15/2 and k>= 4

3 0

2 years ago

Levart [38]

5x+3y=9
2x-3y=5

5x+2x=9+5
7x=14
14/7x= 2
x=2

sub it in so you get y

5(2)+3y=9
10+3y=9 (-10 to get rid of it)
3y=-1
3y/-1= - 1/3

x= 2 y= - 1/3

8 0

2 years ago

sergij07 [2.7K]

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1$

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

$\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1$

which reduces to

c / 2 (0 + 1) = 1 → c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

$\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678$

5 0

2 years ago

Oksana_A [137]

Answer:

Given x = 4 and y = 3

Step-by-step explanation:

5x +2y -6 = 5*4 + 2*3 -6

= 20 + 6 - 6

= 20

7 0

3 years ago

jasenka [17]

Answer:

B

Step-by-step explanation:

x = y-4x^2 can be rearranged to get y = 4x^2 + x, which is a function

3 0

1 year ago