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3 years ago

The function y=-16x^2+16x+32 represents the height in feet of a firework x seconds after it is launched

Mathematics

1 answer:

Nadya [2.5K]3 years ago

8 0

Answer:

36feet

Step-by-step explanation:

Since we are not asked what to find, we can as well find the maximum height reached by the rocket

At max height, velocity is zero

V = dy/dx = 0

dy/dx = -32x + 16

0 = -32x+16

32x = 16

x = 16/32

x = 0.5s

Get the maximum height

y = -16(0.5)^2+16(0.5) + 32

y = -4+8+32

y = 36feet

Hence the max height reached by the rocket is 36feet

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NemiM [27]

Answer:

45 degree angle

Step-by-step explanation:

180-55-80=x

180- 135=x

45=x

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3 years ago

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3x2 + 8x - 10<br> Please someone help ...

Marina CMI [18]

3x2+8x-10 // the answer is 8x

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3 years ago

Casey has 48 peppers and 16 yellow peppers . If he wants to put the peppers into baskets so that each basket has the same number

liraira [26]

Answer:

3 red peppers and 1 yellow pepper in each basket.

Step-by-step explanation:

We have been given that Casey has 48 peppers and 16 yellow peppers. He wants to put the peppers into baskets so that each basket has the same number of red and yellow peppers. We are asked to find the number of red and yellow papers in each basket.

To solve our given problem, we need to find greatest common factor of 48 and 16.

Prime factorization of 48 is $2\times 2\times 2\times 2\times 3$ .

Prime factorization of 16 is $2\times 2\times 2\times 2$ .

Greatest common factor of 48 and 16 would be $2\times 2\times 2\times 2=16$ .

Therefore, Casey can make 16 baskets with same number of red and yellow peppers.

Now we will divide 48 and 16 by 16 to find number of red peppers and yellow peppers in each basket respectively.

$\text{Red peppers in each baseket}=\frac{48}{16}=3$

$\text{Red peppers in each baseket}=\frac{16}{16}=1$

Therefore, there will be 3 red peppers and 1 yellow pepper in each basket.

6 0

4 years ago

Which expression is equal to -33 when x= -5

blagie [28]

Answer:

Many expressions would satisfy this set. One example would be y = 7x + 2

Step-by-step explanation:

To find this, give x a random coefficient, for this purpose, we'll use 7.

y = 7x + c

Now plug in and solve to get the constant.

-33 = 7(-5) + c

-33 = -35 + c

2 = c

Now model the equation.

y = 7x + 2

5 0

4 years ago

Ollivanders stuffed bear shop has 456 bears in stock exactly half of them Are made from wool how many wool does Mr.oillvander ha

PtichkaEL [24]

Answer:

228 of them are made from wool, but there is no enough information to determine how many would he has in stock.

Step-by-step explanation:

Mr Ollivander's stuffed bear shop has 456 bears in stock, and exactly half of them are made from wool, this means that 1/2 of 456 are made from wool

1/2 of 456 = 1/2 × 456 = 456/2 = 228.

That is 228 of them are made from wool.

However, nothing tells us that this is all he has in his stock. There is no information available to determine how many would he has in stock.

7 0

3 years ago