Five sixths divided by three

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

8 0

Answer:

3 and 3/5

Step-by-step explanation:

5/6 divided by 3/1 is the same as 6/5 times 3/1 so,

18/5=3and3/5 as the answer

andrew-mc [135]3 years ago

8 0

Answer:

5/18

Step-by-step explanation:

5/6 / 3

To divide fractions, change the division sign to a multiplication sign and convert the divisor to its reciprocal.

In other words, to divide fractions you would multiply the fraction being divided by the reciprocal of the fraction you are dividing the fraction by.

5/6 * 1/3

Multiply straight across.

5/18

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The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is

Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

$f(x)=-0.05x^2+2.5x+5.2$

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

$-\infty$

Factorize the given function.

$f(x)=-0.05(x^2-50x-104)$

$f(x)=-0.05(x^2-52x+2x-104)$

$f(x)=-0.05(x(x-52)+2(x-52))$

$f(x) = -0.05 (x - 52) (x + 2)$

Put f(x)=0 to find the x intercepts.

$0 = -0.05 (x - 52) (x + 2)$

Equate each factor equal to 0.

$x=52,-2$

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

$0\leq x\leq 52$