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MA_775_DIABLO [31]

2 years ago

11

Approximately 19.7 million African-American voted in the presidential election with almost 3 million more female than male. What

percent of African-America voted if United States of American is about 28.7 million?

1 answer:

9966 [12]2 years ago

5 0

Step-by-step explanation:

the answer would be 64 became yeah 64 is the andwer

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Draw the graph for f(x)=x-1/x^2-x-6 and state:a. the x-intercept(s).b. the y-intercept.c. the equation(s) of any vertical asympt

Zigmanuir [339]

ANSWER:

a. (1, 0)

b. (0, 1/6)

c. x = -2. x = 3

d. y = 0

e. The asymptotes have the form of a line and divide the function into 3 parts.

f.

$\begin{equation*} \text{Domain: }\left(-\infty\:,\:-2\right)\cup\left(-2,\:3\right)\cup\left(3,\:\infty\:\right) \end{equation*}$

g.

$\text{Range}(-\infty,\infty)$

STEP-BY-STEP EXPLANATION:

We have the following function:

$f\left(x\right)=\frac{x-1}{x^2-x-6}$

The graph corresponding to the function is the following:

We determine in each case what the statement asks for, like this:

a. the x-intercept(s):

$\begin{gathered} \text{ in this case y = 0, therefore:} \\ \\ \frac{x-1}{x^2-x-6}=0 \\ \\ x-1=0\cdot(x^2-x-6) \\ \\ x=1 \\ \\ \text{The x-intercept is \lparen1, 0\rparen} \end{gathered}$

b. the y-intercept:

$\begin{gathered} \text{ in this case x = 0, therefore } \\ \\ y=\frac{0-1}{0^2-0-6} \\ \\ y=\frac{-1}{-6} \\ \\ y=\frac{1}{6} \\ \\ \text{ The y-intercept is }\:\left(0,\frac{1}{6}\right) \end{gathered}$

c. the equation(s) of any vertical asymptote(s). The horizontal asymptotes are the values that x cannot take since the function would be discontinuous for those values.

In this case, since it is a rational function, it would be when the denominator is 0, therefore, we solve the following:

$\begin{gathered} x^2-x-6=0 \\ \\ (x-3)(x+2)=0 \\ \\ x-3=0\rightarrow x=3 \\ \\ x+2=0\operatorname{\rightarrow}x=-2 \\ \\ \text{ The equation\lparen s\rparen of any vertical asymptote are:} \\ \\ x=3,x=-2 \end{gathered}$

d. the equation of the horizontal asymptote. If the degree of the denominator is greater than that of the numerator, the horizontal asymptote is the x-axis, that is:

$y=0$

e. information about the behavior at the asymptote(s).

In this case the behavior of the asymptotes are straight lines that represent values that the function cannot take or cannot reach, divide the function into 3 parts.

f and g.

In this case, the domain is the interval of values that x can take and the range is the interval of values that y can take.

Therefore:

$\begin{gathered} \text{Domain: }\left(-\infty\:,\:-2\right)\cup\left(-2,\:3\right)\cup\left(3,\:\infty\:\right) \\ \\ \text{Range:}\:\left(-\infty\:,\:\infty\:\right) \end{gathered}$

8 0

1 year ago

Write a fraction equal to 1 and that has a denominator of 5.

photoshop1234 [79]

5/5 is the correct answer. All while fractions equal 1 e.g. 7/7 100/100 and so forth!

8 0

2 years ago

Find the volume of the pyramid 6cm 11cm 4cm

balandron [24]

Answer:

88 cm³

Step-by-step explanation:

$V=\frac{lwh}{3}$

V = (11 × 4 × 6) ÷ 3

88 cm³

3 0

2 years ago

Y=3x- 15 ordered pair

astraxan [27]

Three ordered pairs would be
x y
0, -15
1, -12
2, -9
ect...

5 0

2 years ago

a bag contains 1 red beads 2 yellow beads 2 green beads and 1 blue bead a bean is choose and at random what is the probability t

Kisachek [45]

Answer:

Step-by-step explanation:

Add all the beads together to get your total amount of beads (This will be your denominator)

1+2+2+1=6 beads in total

You only want to focus on the amount of green beads. (Which is 2 and that will be you numerator)

$\frac{Numerator}{Demonator}=\frac{green beads}{Total amount of beads}$

4 0

2 years ago