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3 years ago

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How do I expand or factor the following alebraic expressions:

1 answer:

brilliants [131]3 years ago

4 0

The answers are b and c hope this helps

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I want answers on my math homework

lana66690 [7]

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3 years ago

The radius of a circle measures 5 ft. What is the circumference?

polet [3.4K]

Answer:C≈31.42ft

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3 years ago

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Let tan x = 2.4, sin y = 0.6, and both x and y be between 0° and 90°. Then cos(x + y) equals?

ZanzabumX [31]

0.99 if you round up it will just be 1

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3 years ago

F(x) = x^2+x-2/x^2-3x-4

Andrej [43]

i. Domain and Range

The given function is

$f(x)=\frac{x^2+x-2}{x^2-3x-4}$

The domain of this function is,

$x^2-3x-4\ne 0$

$(x-4)(x+1)\ne 0$

$x\ne4,xne -1$

The range refers to the y-values for which x is defined. x is defined for all values of y.

The range is all real numbers. See graph

ii. x-and-y-intercept

For x- intercept intercept we put $f(x)=0$

This implies that;

$\frac{x^2+x-2}{x^2-3x-4}=0$

This will give us

$x^2+x-2=0$

$\Rightarrow x^2+x-2=0$

$\Rightarrow x^2+2x--x-2=0$

$\Rightarrow x(x+2)-1(x+2)=0$

$\Rightarrow (x+2)(x-1)=0$

$\Rightarrow (x+2)=0,(x-1)=0$

$\Rightarrow x=-2,x=1$

The x-intercepts are $(-2,0),(1,0)$

For y-intercept, we put

$x=0$ to obtain;

$f(0)=\frac{0^2+0-2}{0^2-3(0)-4}$

$f(0)=\frac{1}{2}$

The y-intercept is

$(0,\frac{1}{2})$

iii. Horizontal asyptote

Since degree of the numerator and the denominator are the same, there is a horizontal asymptote

To find the horizontal asymptote.

We divide the leading coefficient of the numerator by the leading coefficient of the denominator.

The horizontal asymptote is $y=\frac{1}{1}=1$

iv. Vertical asymptote

To find the vertical asymptote, we equate the denominator to zero to get;

$x^2-3x-4=0$

This implies that;

$x^2+x-4x-4=0$

Split the middle term

$x(x+1)-4(x+1)=0$

Factor

$(x+1)(x-4)=0$

Factor further

$(x+1)=0,(x-4)=0$

$x=-1,x=4$

The vertical asymptotes are $x=-1,x=4$

8 0

3 years ago

Read 2 more answers

A jar contains 770 beans. Of them, 350 are mung beans and the rest are kidney beans. What is the ratio of mung beans to all the

MatroZZZ [7]

Answer:

5 MB : 16 B

Step-by-step explanation:

First, find the GCF of 770 and 350. ( 70 )

Next, divide both numbers by 70

770 / 70 = 11 Kidney beans

350 / 70 = 5 Mung beans

It says ratio of mung beans to <u>all</u> beans.

11 KB + 5 MB = 16 B

5 Mung beans to 16 Beans

:)

3 0

3 years ago