Which of the following functions is graphed below

Mathematics

1 answer:

tamaranim1 [39]2 years ago

7 0

Answer:

Option B: $y=\left \{ {{x^2+6,x$

Step-by-step explanation:

We can see that the first part of the piecewise function is a parabola with a y-intercept of (0,6) where the domain is restricted for all values of x less than 3 given the open circle at x=3.

The second part of the piecewise function is a linear function with a negative slope where the domain is restricted for all values of x greater than or equal to 3 given the closed circle at x=3.

Essentially, the piecewise function has a jump discontinuity at x=3 where the first part of the function goes to the second part of the function at one point by "jumping".

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Consider the random variables X and Y with joint density function ???? f(x,y)= x+y, 0≤x≤1;0≤y≤1 0, elsewhere. (a) Find the margi

sp2606 [1]

a. The marginal densities

$f_X(x)=\displaystyle\int_0^1(x+y)\,\mathrm dy=x+\frac12$

and

$f_Y(y)=\displaystyle\int_0^1(x+y)\,\mathrm dx=y+\frac12$

b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:

$P(X>0.25,Y>0.5)=\displaystyle\int_{1/4}^1\int_{1/2}^1(x+y)\,\mathrm dx\,\mathrm dy=\frac{33}{64}$

7 0

3 years ago

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and

Travka [436]

Answer:

3.2 feet

Step-by-step explanation:

The equation $f(x)=-0.3x^{2}+2x$ shows the height of water [ $f(x)$ ] and horizontal distance [ $x$ ].

Given the horizontal distance is 4 feet, they want to know the height.

Simply put 4 in $x$ of the equation and solve for $f(x)$ . So,

$f(x)=-0.3(4)^{2}+2(4)\\f(x)=3.2$

So, the height of the water was 3.2 feet above the ground.

4 0

3 years ago

Read 2 more answers

I also need help on this one smh

AysviL [449]

Answer:

C. 176.6 Square feet (I think)

Step-by-step explanation:

I tried many different ways and got three of the answers above but I think this is the right one.

The equation to find area of a circular cone base: $A= \pi r^2$

We are given the diameter (15 Feet) but we need to find the radius. So we use the diameter to radius formula: $r = \frac{d}{2}$
Plug in numbers: $r=\frac{15}{2}$ ≈ $7.5$
Use the Area formula now that you have radius: $A=\pi 7.5^2$
Solve and get = $a = 176.71458676$
Looking at the options the closest one to our answer (off by one-tenth) is C.