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2 years ago

8

What is the domain and range of the function shown on the graph below

1 answer:

hoa [83]2 years ago

7 0

Answer:

C

Step-by-step explanation:

D: {-3,0,1,3}

R: {-5,-4,1,5}

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

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2 years ago

Simplify 8+5h-2+h-10+3h

Bogdan [553]

Answer:

-4+7h

Step-by-step explanation:

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2 years ago

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Can you find x I don’t know how.

kodGreya [7K]

Answer:

7

Step-by-step explanation:

(x+3)/(x+8) = 2/3

3x + 9 = 2x + 16

x = 7

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2 years ago

Please show me this but solved on paper?

kobusy [5.1K]

its about drive its about power we stay hungry we devour pick in the work put in the hours and take whats ours

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1 year ago

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Solve using traditional division: 8,184 62

EleoNora [17]

Answer:

131

Step-by-step explanation:

You just put the biggest number in the box, and then you divide by the lower number.

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2 years ago