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MissTica
3 years ago
8

A stone fell from the top of a cliff into the ocean. In the air, it had an average speed of 16 m/s. In the water, it had an aver

age speed of 3 m/s before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds. How long did the stone fall in the air and how long did it fall in the water?
Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer:

7 sec in the air, 5 in the water.

Step-by-step explanation:

make it into a linear equation

16x + 3y = 127

x+y=12

(7,5)

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Anna007 [38]

h(-3) - h( - 2) = -  \frac{5}{  8} \\ \\

Step-by-step explanation:

\boxed{h(x) =  \frac{2 {x}^{2}  - x + 1}{3x - 2}}

h(2) =  \frac{2 {(2)}^{2}  - (2) + 1}{3(2) - 2}

h(2) =  \frac{2 {(4)}  - 2 + 1}{6 - 2}

h(2) =  \frac{ 8  - 1}{4}

h(2) =  \frac{7}{4}

h( - 3) =  \frac{2 {( - 3)}^{2}  - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) =  \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) =  \frac{18 + 4}{ - 11} \\ h( - 3) =    \frac{22}{  - 11} \\ h(-3) = -2

h( - 2) =  \frac{2 {( - 2)}^{2}  - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) =  \frac{2 (4)  +  2+ 1}{- 6 - 2} \\ h( - 2) =  \frac{8 +  3}{- 8} \\ h( - 2) =  \frac{11}{- 8}

h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8}

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3 years ago
Find Each Difference 125 - ( -114 )​
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Answer:

125-(-114)=239

Step-by-step explanation:

Change the subtraction to addition and change the negative in the second number to a positive (it's the opposite). Then add them. 125+114=239

CAN EXPLAIN FURTHER

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8 0
3 years ago
Use synthetic division to solve (4x^3-3x^2+5x+6)/(x+6).what is the quotient
ladessa [460]

Answer:

The quotient= 4x^2-27x+167.

Step-by-step explanation:

Given

Dividened= 4x^3-3x^2+5x+6

Divisor=x+6

In synthetic division : Put denomerator is equal to zero.

Put x+6=0

x=-6

Put -6 in division box as a divisor.

Coefficient of x^3=4

Coefficient of x^2=-3

Coefficient of x=5

Constant value=6

Put the coefficient of x^3,x^2,x and constant in descending order of power of x in  division problem.

Now ,bring the coefficient of x^3 is 4  straight down .

Now, multiply the numbe -6 in the division box with the number 4 brought down and put the result -24  below the number - 3 of next column.

By adding we get -27 and  write result in the bottom of row .

Again ,the number -6 multiply with -27 and put the result=162 below the number of next column.

By adding two number together we get 167 and put the result in the bottom of row.

Again, the number -6 in division box multiply with  the number 167 and put the result=1002 below the number of next column.

Adding two number together we get 1008 and write in the bottom of row.

Last number is remainder and then write the remainder  in fraction .

In quotient the power of x reduces by 1  from the numertor.

Hence, the quotient =4x^2-27x+167

Remainder=\frac{1008}{x+6}.

7 0
3 years ago
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