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3 years ago

Express in simplest form: (3x^2 + 4x - 8) - (-2x^2 + 4x + 2)

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

Step 1:

( $3x^{2}$ + 4x - 8 ) - ( $-2x^{2}$ + 4x + 2 ) Equation

Step 2:

3x² + 4x - 8 + 2x² - 4x - 2 Open Parenthises

Answer:

5x² - 10 Simplify

Hope This Helps :)

algol133 years ago

3 0

Answer:

5x² + 10

Step-by-step explanation:

Given Equation :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Solution :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Step 1:- Remove unnecessary parantheses.

3x² + 4x - 8 + 2x ² - 4x - 2

Step 2 :- arranging like terms.

3x² + 5x² + 4x - 4x -8 - 2

Step 3 :- Calculate like terms.

5x² + 10

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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.

$0\leq x\leq 52$