Chose all the values of x that are not in the domain of this rational function. Picture attached, 15 points and I'll give Brainliest! Due in two hours. A. -2 B. 1 C. 2 D. o

Chose All The Values Of X That Are Not In The Domain Of This Rational Function. Picture Attached, 15

Answers

Answer 1

Answer:

All of them.

Step-by-step explanation:

For rational functions, the domain is all real numbers except for the zeros of the denominator.

Therefore, to find the x-values that are not in the domain, we need to solve for the zeros of the denominator. Therefore, set the denominator to zero:

[tex]x(x-1)(x^2-4)=0[/tex]

Zero Product Property:

[tex]x\neq 0\text{ or }x-1\neq 0\text{ or }x^2-4\neq 0[/tex]

Solve for the x in each of the three equations. The first one is already solved. Thus:

[tex]x-1\neq 0 \text{ or }x^2-4\neq 0\\x\neq 1\text{ or }x^2\neq 4\\x\neq 1 \text{ or }x\neq\pm 2[/tex]

Thus, the values that cannot be in the domain of the rational function is:

[tex]x=-2,0,1,2[/tex]

Click all the options.

Answer 2

Answer:

[tex]\Large \boxed{\mathrm{All \ options}}[/tex]

Step-by-step explanation:

The domain of a function are all possible values for x.

To find the domain of a rational function, we set the denominator equal to 0, and solve for x. Those values of x are not included in the domain, since the denominator of 0 would make the rational function undefined.

[tex]x(x-1)(x^2-4)=0[/tex]

Setting the factors equal to 0.

[tex]x=0 \\ \\ \\\\ x-1=0 \\ \\ x=1 \\ \\ \\ \\ x^2 -4=0 \\ \\ x^2 =4 \\ \\ x=\pm 2[/tex]

The values of x that are not in the domain of the rational function are x=-2, x=1, x=2, and x=0.


Related Questions

4) Given that x is an integar
find the three greatest value
of x which satisfies the lines
inequality 7x < 2x - 13

Answers

Answer:

The three greatest are -3, -4, -5

Step-by-step explanation:

7x < 2x - 13

Subtract 2x from each side

7x-2x < 2x-2x - 13

5x < -13

Divide by 5

5x/5 < - 13/5

x < - 2 3/5

Since x is an integer

-3 is the largest integer that fits the inequality

The three greatest are -3, -4, -5

How many oranges equal 6 cups of juice?

Answers

Answer:

1/3

Because 1/3 if divide into two, it'll be 0.5/3 but if the question says that the answer have to be in whole number, that means it must be 1/6.

Answer:12

Step-by-step explanation:

because it will take 2 to make a cup

a garden is in the shape of a rhombus whose each side is 15 and it's one of two diagonal each 24 find the area of Garden

Answers

Answer:

Hey there!

A=[tex]0.5p\sqrt{4a^2-p^2}[/tex]

A=216

Hope this helps :)

What is the slope of
3y = -4x + 6

Answers

Answer:

Hey there!

3y=-4x+6

y=-4/3x+2

Thus, the slope is -4/3.

Hope this helps :)

Answer:

the slope is -4/3

Step-by-step explanation:

3y = -4x + 6

y=-4/3 x +6/3

y=-4/3 x+2

the slope is -4/3

In the given figure <abc = 90 degree and CA=2BC.Find the measure of <BAC​

Answers

Answer:

the value of <BAC= 30° ...

Help please 45³+78-64

Answers

Answer:

91267

Step-by-step explanation:

I need help with geometry one my question is construct AD congruent to JK​

Answers

Answer:

  use your compass to copy the length to a new line

Step-by-step explanation:

To make a line segment that has the same length as another, set your compass width to the length of the one you want to copy, and use that to mark the length on the line where you want your copy.

Use a straightedge to draw a line longer than JK.

Label a point on that line A.Set your compass to the length JK.Mark that length from point A on the line you drew. Label the mark D.

AD is congruent to JK.

3a - 6a + 20 = 8a + 24 - 5a - 4

Answers

Step-by-step explanation:

-3a + 20 = 3a + 20

-6a + 20 = 20

-6a = 0

a = 0

Answer: a=0

Step-by-step explanation:

Given

3a-6a+20=8a+24-5a-4

Combine like terms on both sides

-3a+20=3a+20

Subtract 3a on both sides (subtractive property of equality)

-6a+20=20

subtract 20 on both sides (subtractive property of equality)

-6a=0

Divide -6 on both sides (division property of equality)

a=0

Hope this helps!! :)

Please let me know if you have any question or need further explanation

write the polynomial the product and sum of whose zeroes are -9/2 and-3/2

Answers

Answer:

y = 2x² + 3x - 9

Step-by-step explanation:

Given αβ = - [tex]\frac{9}{2}[/tex] = [tex]\frac{c}{a}[/tex]

and α + β = - [tex]\frac{3}{2}[/tex] = - [tex]\frac{b}{a}[/tex]

Then a = 2, b = 3 and c = - 9, thus

y = 2x² + 3x - 9

POLYNOMIALS
1. Find a quadratic polynomial whose zeroes are 3 and -5

Answers

Answer:

y = x² + 2x - 15

Step-by-step explanation:

Given the zeros are x = 3 and x = - 5 then the factors are (x - 3) and (x + 5)

The polynomial is then the product of its factors, thus

y = (x - 3)(x + 5) ← expand using FOIL

y = x² + 2x - 15

What type of number is 0.25726?

A) Rational, specifically an integer

B) Rational, not an integer

C) Irrational

Answers

Answer:

B. Rational, not an integer

What is the difference between 6^ and ^ 6 ?

Answers

I think it’s 6 to the exponential power or a number vs a number to the power of 6

what is the sum of the arithmetic series: s10 = -20, d = 4, a1 =? ​

Answers

Answer:

first term a1 is -40.

Step-by-step explanation:

in an arithmetic series,

sum of first term terms (S10) = -20

Common difference (d) = 4

first term (a)= ?

number of terms (n)= 10

now,

S10 =( n÷2) [a1 +(n-1) d]

or, -20 = (10÷2) [a1 + (10-1) 4]

or, -20 = 5 ( a1 + 36)

or, -4 = a1 + 36

or, a1 = -40

Step-by-step explanation:[tex] \green\star[/tex] Given

[tex]\blue\star[/tex]s10 = -20

[tex]\blue\star[/tex]n = 10

[tex]\blue\star[/tex] an = -20

[tex] \green\star[/tex] solution

[tex] \green\star[/tex]s10 = n\2 [a+(n-1)d]

[tex] \green\star[/tex]-20 = 10a2[a+(10-1)4]

[tex] \green\star[/tex]-4 = a +36

[tex] \green\star[/tex]a1 = -40

[tex]\small\boxed{a = -40}[/tex]

Hope it helps.

Hope it helps

Which properties can be used to solve 7y − 15 = −29? Select all that apply.

Answers

Answer:

addition property of equality

inverse property of multiplication

Step-by-step explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2

Answer:

[tex]\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}[/tex]

Step-by-step explanation:

[tex]\sf 7y-15=-29[/tex]

Using the additive property of equality, we add 15 to both sides of the equation.

[tex]\sf 7y-15+15=-29+15[/tex]

[tex]\sf 7y=-14[/tex]

Using the inverse property of multiplication, we divide both sides of the equation by 7.

[tex]\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}[/tex]

[tex]\sf y = -2[/tex]

Average Weight Animal At Birth (g) Adult Female(g) Adult Male (g) Hamster 2 120 110 Guinea pig 65 800 1,030 Rat 7 265 470 On average, a hamster at birth weighs 2 3 the weight of a gerbil at birth. Enter and solve an equation to find the average weight of a gerbil at birth. Let g represent your variable. The equation is . The average weight of a gerbil at birth is g.

Answers

Answer:

The answer is below

Step-by-step explanation:

An equation is a mathematical statement that shows the equality between two expressions.

From the table, the average weight of the hamster at birth is 2 grams. The average weight of gerbil at birth is 2/3 of that of hamster. Let g represents the weight of the gerbil at birth, hence the weight can be gotten by solving the equation:

2/3 of hamster weight at birth = Average weight of gerbil at birth

2/3 × 2 grams = g

g = 2/3 × 2 grams = 4/3 grams = 1.33 grams

The average weight of gerbil at birth = 1.33 grams

Please help me whoever does it first will get brainliest!!! a) Write a ratio of girls to boys in three ways b) Write an equivalent ratio to the one you wrote in part a. c) Write the ratio of boys to girls in simplest form

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

a) There are 20 girls and 16 boys so three different ways to write the ratio could be 20:16, 20 / 16 or, in verbal form, 20 to 16.

b) An equivalent ratio to 20:16 is 10:8, all we do to get this is divide the ratio by 2.

c) Since there are 16 boys and 20 girls, the ratio is 16:20 which simplifies to 4:5.

f(x)=x2-x find f (3)

Answers

Answer:

f(3) =6

Step-by-step explanation:

[tex]f(x) =x^2 -x\\\\f(3) = ?\\\\f(3) = (3)^2 -3\\f(3) = 9-3\\f(3) =6[/tex]

Answer:

[tex]\huge \boxed{\sf{f(3)=6}}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=x^2-x[/tex]

For f(3), the input or x value is 3.

[tex]\sf f(3)=3^2-3[/tex]

Evaluate the expression.

[tex]\sf f(3)=9-3[/tex]

[tex]\sf f(3)=6[/tex]

side length of 216 cubic yards

Answers

Answer:

6 yards

Step-by-step explanation:

a³ = 216

a = ∛ 216

    = 6 yards

Answer:

6 yards

Step-by-step explanation:

The volume of a cube can be found using the following formula.

[tex]v= s^3[/tex]

We know the volume is 216 cubic yards, so we can substitute 216 yd³ in for v.

[tex]216 yd^3=s^3[/tex]

We want to find the side length. Therefore, we must isolate the variable, s, on one side of the equation.

s is being cubed. The inverse of cubed is the cube root. Take the cube root of both sides of the equation.

[tex]\sqrt[3]{216 yd^3}=\sqrt[3]{s^3}[/tex]

[tex]\sqrt[3]{216yd^3}=s[/tex]

[tex]6yd=6[/tex]

The side length of the cube is 6 yards.

Explicit equation:
Recursive:
y = 3x + 7
now = previous term + 3
50
term #
1
2
value
10
13
...
Find the value of the 50th term.
Explanation:

Answers

Answer:

50th term = 157

Step-by-step explanation:

Explicit equation for the given table is,

y = 3x + 7

And recursive formula is,

Now = previous + 3

To find the 50th term explicit formula should be used because it will be very difficult to find all 50 terms with the use of recursive formula.

From explicit formula,

y = 3x + 7

y = 3(50) + 7

  = 157

Therefore, 50th term of the given table will be 157.

find the average rate of change for the interval 2,4​

Answers

Answer:

8

Step-by-step explanation:

It went from 7 to 15?

Find the volume of a box with a height that is 4 inches less than the
length and a width equal to the length. Let x represent the length of the
box. (Formula for volume of a rectangular prism: V equals L times W
times H where L is length, W is width, H is height of the rectangular
prism)

Answers

Answer:

Volume of the box = x^3 - 4x^2

Step-by-step explanation:

V = L × W × H

Where,

V = volume of the rectangular prism

L= Length

W = Width

H = Height

volume of the rectangular prism = length × width × height

Length = x

Width= length = x

Height = x - 4

V = L × W × H

= x * x * (x - 4)

= x^2 (x - 4)

= x^3 - 4x^2

V = x^3 - 4x^2

Volume of the box = x^3 - 4x^2

Max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speeds?

Answers

Answer:

106

Step-by-step explanation:

Sksjwisjsjsoansnsan just to get points so give it a thanks thing ty

Answer:

x=11.5hours

Step-by-step explanation:

661.25miles÷57.5mph=11.5hours

Can someone help me with part a?

Answers

Answer:

  [tex]F(x)=\left\{\begin{array}{cl}15(40-x)&\text{if $0<x<40$}\\0&\text{if $40\le x\le65$}\\15(x-65)&\text{if $x>65$}\end{array}\right.[/tex]

Step-by-step explanation:

(a) For x below 40, the number of miles per hour below 40 is (40-x). Then the fine for that speed is 15(40 -x).

For x between limits, the fine is zero.

For x above 65, the number of miles per hour above 65 is (x-65). Then the fine for that speed is 15(x -65).

  [tex]F(x)=\left\{\begin{array}{cl}15(40-x)&\text{if $0<x<40$}\\0&\text{if $40\le x\le65$}\\15(x-65)&\text{if $x>65$}\end{array}\right.[/tex]

i Find a rational number between -1/2 and 3/4 ?​

Answers

Answer:

5/8

Step-by-step explanation:

Find the rational number half way between 1/2 and 3/4

First add 1/2 and 3/4

1/2 + 3/4 = 2/4 + 3/4 = 5/4

Next, divide this sum by 2

5/4 divided by 2/1 = 5/4 * 1/2 = 5/8

5/8 is half from 1/2 and 3/4

1/2 < 5/8 > 3/4

what is: −6 − (−4)? i need to know

Answers

Answer:

-2

Step-by-step explanation:

-6-(-4)

-6+4

-2

Answer:

-2

Step-by-step explanation:

Make it simpler: -6 + 4-6 + 4 = -2

Why:

When you subtract a negative, it automatically becomes a positive. That's why when we were making it simpler above, we canceled out the two minus signs (subtractions sign and negative sign) to make a positive 4. That's why we added a positive instead of subtracting a negative.A negative plus a positive will get bigger. That's why -6 + 4 = -2. The -2 is larger than -6 when you look at it on a number line. It's closer to 0 and the positives.

Elliott put 7 cups of tea in to a jar. How many more cups of tea does he need to fill up the jar? Capacity: 4 quarts (1 quart = 4 cups)​

Answers

Answer:

9 cups

Step-by-step explanation:

1 quart= 4 cups

4 quart= ? cups  (crisscross)

4 quart=16 cups

16-7= 9 cups

?
3k12 + 23k4 – 18k? _71

Answers

Answer:

Step-by-step explanation:

Something

A group of boys went on a camping trip. They spent the night in 5 tents and 4 cabins. There were 9 boys in each tent and 7 boys in each cabin. How many boys went on the trip?

Answers

Answer:

Step-by-step explanation:

In a tent, there are nine boys.

There were five tents.

5 tents containing 9 boys can equal 45 boys.

(5 x 9 = 45)

In a cabin, there are seven boys.

There were four cabins.

4 cabins containing 7 boys can equal 28 boys.

(4 x 7 = 28)

Now, to find all the boys, add the numbers together.

28 boys with 45 boys will equal 73 boys.

Please check my answer for no one, not even me is right.

Good luck :)

Using inductive reasoning, determine the next two terms in each sequence. -3, 5, -7, 9, , A, C, F, J, , Blank 1: Blank 2: Blank 3: Blank 4:

Answers

Answer:

A = -11

C = 13

F = -15

J = 17

Step-by-step explanation:

Inductive reasoning is the use of observations to draw a conclusion.

The sequence of numbers in this problem is:

-3, 5, -7, 9, ...

A pattern is observed and that pattern is:

(n + 1) th term = |nth term| + 2 (with alternating negative signs)

for instance if (n+1)th term = 2nd term; nth term = 1st term

2nd term = |1st term| + 2

2nd term = |-3| + 2 = 5 (no negative sign since previous term had negative)

-3rd term = |5| + 2 = -7 (negative sign because the previous term was positive)

4th term = |-7| + 2 = 9 (no negative sign since previous term had negative)

-5th term (A)= |9| + 2 = - 11 (negative sign because the previous term was positive)

6th term (C) = |-11| + 2 = 13 (no negative sign since previous term had negative)

if you use the same sequence for F and J, you will get:

F = -15

J = 17

you should try them out to see if you will get the same solution.

1.414 is an ? for the square root of 2

Answers

Answer:

1.999396

Step-by-step explanation:

square of 1.414=1.999396

square root of 1.999396=1.414

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