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3 years ago

Select the correct answer

Mathematics

1 answer:

solong [7]3 years ago

3 0

Answer: OPTION C.

Step-by-step explanation:

Given the functions:

$f(x)=2x^2-x-6\\\\g(x)=x^2-4$

We need to divide f(x) by g(x) in order to find $f(x)$ ÷ $g(x)$ . Then:

$f(x)$ ÷ $g(x)$ $=\frac{2x^2-x-6}{x^2-4}$

Factorizing and simplifying, we get:

$f(x)$ ÷ $g(x)$ $=\frac{(2x+3)(x-2)}{(x+2)(x-2)}$

$f(x)$ ÷ $g(x)$ $=\frac{2x+3}{x+2}$

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denis-greek [22]

Answer:

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Step-by-step explanation:

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3 years ago

Which property is demonstrated in the equation 0 x 35 = 0?

Kisachek [45]

Answer:

Step-by-step explanation:

the property of zero,

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3 years ago

a parallelogram has an area of 108 square inches . the base of the parallelogram is 18 inches . explain how you could find the h

Paraphin [41]

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3 years ago

Use the distance formula, show that the points (4,0), (2,1), and (-1,-5) form the vertices of a right triangle

mario62 [17]

Step-by-step explanation:

The distance formula between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points.

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a² + b² = c²

$\sqrt5$

used $(\sqrt{a})^2=a$ for a ≥ 0.

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3 years ago

Write an equation of the line. Express the answer using either the general form or the slope-intercept form of the equation of

Georgia [21]

Answer:

y = x - 4

Step-by-step explanation:

The standard equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the slope

Using the coordinate points (4, 0) and (0, -4)

m = -4-0/0-4

m = -4/-4

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Since the line cuts the y axis at y = -4, the y-intercept b = -4

Get the equation;

Since y = mx+b

y = 1x + (-4)

y = x - 4

This gives the required equation

7 0

2 years ago