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2 years ago

The standard form of an absolute value function is f(x) = ax-h1+k Which of the following represents the vertex?

Mathematics

2 answers:

blagie [28]2 years ago

3 0

there's no "following"

Marina86 [1]2 years ago

3 0

Answer:

Step-by-step explanation:

edge 2021

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A certain delivery service offers both express and standard delivery. 75% of parcels are sent by standard delivery, and 25% are

zloy xaker [14]

Answer:

The probability that the parcel was shipped expressed and arrived the next day = 0.2375 .

Step-by-step explanation:

We are given that a certain delivery service offers both express and standard delivery.

Let Proportion of parcels sent by standard delivery, P( $A_1$ ) = 0.75

Proportion of parcels sent by express delivery, P( $A_2$ ) = 0.25

Let event B = Parcel arriving the next day

Also, Probability of parcel arriving the next day given it was sent through standard delivery, P(B/ $A_1$ ) = 0.8

Probability of parcel arriving the next day given it was sent through express delivery, P(B/ $A_2$ ) = 0.95

Now, Probability that the parcel was shipped expressed and arrived the next day = P( $A_2$ ) * P(B/ $A_2$ ) = 0.25 * 0.95 = 0.2375 .

5 0

3 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

1.factors of x2 -2x are

sergij07 [2.7K]

Answer:

1)x,(x-2)

3)5

4)10

5)2xy(3x+2y²)

6)10

3 0

3 years ago

Which of the following lines has a slope of -1/3 and a y-intercept of 6? x - 3y = 6 x + 3y = 18 3y - x = 18

erastovalidia [21]

The second choice is correct, but I believe that either its +1/3 ( in the question) or -3y as that will give you the answer of: y=1/3x+6

3 0

3 years ago

Read 2 more answers

Jenny is trimming the edge of pillows with lace. Each pillow requires 15 inches of lace. She has one piece of lace that is 3 fee

Anna71 [15]

Answer:

I think Jenny will be able to do 9 pillows with the lace trim.

4 0

3 years ago