3 years ago

Can someone help me really please

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

Answer:

Step-by-step explanation:

Let x represent the missing number

$8\frac{11}{15} = 7\frac{x}{15}$

Convert both fractions to improper fractions

$\frac{131}{15} = \frac{105 + x}{15}$

Cross multiply

$15(105 + x) = 15(131)$

$1,575 + 15x = 1,965$

Subtract both sides by 1,575

$15x = 1,965 - 1,575$

$15x = 390$

Divide both sides by 15

$x = \frac{390}{15}$

x = 26

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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.

$0\leq x\leq 52$