Given the quantity of 3 x squared plus x minus 4, all over x minus 1, what are the domain and range? domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal 1 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal negative 1 domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal negative 7 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal 7

Answers

Answer 1

The domain of the expression is a real number except 1 and the range of the expression is also a real number.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The expression is given below.

(3x² + x - 4) / (x - 1)

The expression can be written as

(3x² + 4x - 3x - 4) / (x - 1)

[(3x + 4)(x - 1)] / (x - 1)

3x + 4

The domain of the expression is a real number except 1 and the range of the expression is also a real number.

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Related Questions

area of a circle radius 12

Answers

Answer: 3.14 x 12^2 = 452.16

Area Formula for Circle : π r²
Answer: 144π
Decimal Form: 452.389 (Not Rounded)

What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?

Answers

Hello the answer would be approximately 394.57 good luck with the test

Evaluate 2(5a – 2) a=3

Please solve

Answers

Answer:

26

Step-by-step explanation:

a=3

2(5x3-2)

5x3=15

15-2=13

2x13=26

1/2 + 1/4 = how many quarters

Answers

Answer:

3

Step-by-step explanation:

1/2 = 0.5

1/4 = 0.25

1/2 + 1/4

= 0.5 + 0.25

= 0.75

= 75/100

= 3/4

Quarter is 1/4.

3/4 can be written as 3 x 1/4

Hence,

1/2 + 1/4 is 3 times 1/4

1/2 + 1/4 = 3 quarters.

Answer:

3/4

Step-by-step explanation:

1*(1/2)= (2/2)*(1/2)= (2*1)/(2*2)=2/4

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

23/2 as a mixed number​

Answers

11 1/2 , this is because 2 goes into 23 11.5 times

Answer:

11 1/2.

Step-by-step explanation:

23 / 2 = 11 remainder 1.
So it is 11 1/2.

Two teams, a and b, are about to play a game. previous records show that a has an 80% chance of winning, while b has a 20% of winning. spectators can either choose to buy regular tickets or special tickets. a spectator with a special ticket will receive a refund of $2 if team a wins and a refund of $5 if team b wins. how much extra, minimally, should the special ticket cost to cover the expected value of the refunds offered?

Answers

The special ticket cost to cover the expected value of the refunds would be $2.60

How to solve for the minimal extra cost.

Probability of A winning = 80%

Probability of B winning = 20%

We have to solve for the rebate of the bet.

80% = 0.8, 20% = 0.2

0.8 x 2 = 1.6

0.2 x 5 = 1

The extra minimal cost of the special ticket would be calculated as: 1 + 1.6

= $2.6

Therefore the answer to the question is $2.6

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Tim tried to use Cavalieri's principle to show that the two figures have the same volume.
"The base areas are the same. Therefore, corresponding cross-sections have the same area. So the volumes must be the same."
What is the first mistake Tim made?

Answers

Answer:

The base areas aren't same

Step-by-step explanation:

The base areas arent same

Answer:

He did not establish that heights are the same.

What is the equation for an arithmetic sequence with a first term of 7 and a second term of 3? (5 points)


an = 7 − 4(n − 1)

an = 7 + 4(n − 1)

an = 7 − 3(n − 1)

an = 7 + 3(n − 1)

Answers

Answer:

1st option

Step-by-step explanation:

the equation for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = a₂ - a₁ = 3 - 7 = - 4 , then

[tex]a_{n}[/tex] = 7 - 4(n - 1)

Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

PLEASE HELP!!!!

y = 1.4 (1.02)
a =
b=
r(as a percentage)

Answers

Answer:

a = 1.4 then b = (1+0.02) and r = 2%

y=1/2x+1

how do i graph this?

Answers

Answer: Heyaa! ~

Graph the line using the slope and y-intercept, or two points.

Slope:

1/2

y-intercept: (0,1)

x   ↓  y

0   ↓  1

2   ↓  2

Step-by-step explanation:

Hopefully this helps you! ~

Answer:

Use the Desmos graphing calculator. Look up "graphing calculator" and hit the Desmos option, then type in your equation. It works.

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julie buys a bike for $2700 and sells it a year later, making a 15% profit
How much profit did Julie make?

Answers

Answer:

$405.

Step-by-step explanation:

That would be 15% of $2700

= 2700 * 0.15

= $405

cant solve x+4y=0
3x+2y=20

Answers

Answer:

The answer to this question is -2.

Step-by-step explanation:

First, multiply one of the equations by something that can cancel out the other variable.

3x+2y=20

3(x+4y=0)

3x+2y=20

3x+12y=0

Now, subtract both equations.

-10y=20

Now, divide both sides by -10.

y=-2

Hope this helps!

For a particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio $1:2:3:4:5:6$. What is the probability of rolling a total of 7 on the two dice

Answers

Step-by-step explanation:

$ 1: 2: 3: 4: 5: 6: 7: 7: in ratio

probability on two dice

1, 2, 3, 4, 5, 6, 7, 7.

The probability of rolling a total of 7 on the two dice is 8/63 if in the particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio 1:2:3:4:5:6.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Let x be the probability of rolling a 1.

Ratios are 1:2:3:4:5:6

Then,

x + 2x + 3x + 4x +5x + 6x = 1

21x = 1

x = 1/21

The possible combinations of two rolls that total 7 are:

{(1,6) ; (2,5) ; (3,4) ; (4,3) ; (5,2) ; (6,1)}

The probability P of rolling a total of $7$ on the two dice is equal to the sum of the probabilities of rolling each combination.

[tex]\rm P = \dfrac{1}{21}\cdot\dfrac{6}{21}+\dfrac{2}{21}\cdot\dfrac{5}{21}+\dfrac{3}{21}\cdot\dfrac{4}{21}+\dfrac{4}{21}\cdot\dfrac{3}{21}+\dfrac{5}{21}\cdot\dfrac{2}{21}+\dfrac{6}{21}\cdot\dfrac{1}{21}\\\\=\dfrac{8}{63}[/tex]

Thus, the probability of rolling a total of 7 on the two dice is 8/63 if in the particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio 1:2:3:4:5:6.

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12.4 worksheet mathematics

Answers

Answer:

ok. Where is the Question

Find the solutions to x² = 12.
O A. x = +2√3
OB. x=+5√2
X
C. x= +2√5
OD. x = 13√2

Answers

Answer:

[tex]x = \pm 2\sqrt3[/tex]

Step-by-step explanation:

Hello!

Let's use the square root property to solve this question

Solve:

[tex]x^2 = 12[/tex][tex]\sqrt{x^2} = \sqrt{12}[/tex][tex]x = \pm\sqrt{12}[/tex][tex]x = \pm \sqrt{4 * 3}[/tex][tex]x = \pm 2\sqrt3[/tex]

The answer is option A: x = ±2√3

The graph of a sinusoidal function intersects its midline at (0, -3) and then has a maximum point at
(2,-1.5).
Write the formula of the function, where x is entered in radians

Answers

The formula of the function when the graph is analyzed will be y =1.5sin[(pi/4)x] - 3.

How to explain the function?

From the graph, the mid line is y = -3 and the amplitude will be:

= -1.5 - (-3)

= 1.5

From the mean line to the max is ¼ of a cycle. Therefore, the period will be:

= 4 × 2 = 8

Number of cycles in 2pi will be:

= 2pi/8

= pi/4

Hence, the formula of the function will be y= 1.5sin[(pi/4)x] - 3.

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Answer:

f(x)=1.5sin (pie/4 x)-3

Step-by-step explanation:

Kahn academy aproved

Evaluate
4! - (11-2)!
8!

Answers

Answer:

Step-by-step explanation:

      The expanded value of n! is (n) * (n - 1) * (n - 2) until we reach one.

      Given:

4! - ((11-2)!) / 8!)

      Rewrite:

[tex]\displaystyle 4! - \frac{(11-2)!}{8!}[/tex]

      Subtract:

[tex]\displaystyle 4! - \frac{9!}{8!}[/tex]

      Expand:

[tex]\displaystyle 4*3*2*1 - \frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1}[/tex]

      Cancel out values that equal one in the fraction:

[tex]\displaystyle 4*3*2*1 - \frac{9}{1}[/tex]

      Multiply:

[tex]\displaystyle 24 - \frac{9}{1}[/tex]

      Simplify:

24 - 9

      Subtract:

15

What is the answer please?

Answers

Answer:

The figures are not similar. If the purple rectangle were to get a transformation, then it would grow. For it to be

Step-by-step explanation:

If the purple rectangle were to get a transformation, then it would grow. For it to be similar it would be stretched one way to be as long as the green rectangle, but that's not how this works. Therefore, they are not similar.

Hope this helps <3

Which of the following represents the translation of R (-3, 4) along the vector
<7, -6> and then the vector < -1, 3 >?


Pls help lol

Answers

By applying concepts of linear algebra, the point P'(x, y) = (-3, 4) represents the translation of P(x, y) = (-3, 4) along the vectors <7, -6> and <-1, 3>.

How to determine the resulting point by applying translations

Translations are a kind of rigid transformation. A transformation is rigid if and only if Euclidean distances are conserved. By linear algebra, an image as a consequence of consecutive translations is described by the following formula:

[tex]P' (x,y) = P(x,y) + \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex]     (1)

Where:

P(x, y) - Original pointP'(x, y) - Image[tex]\left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex] - Net translation vector

Now we proceed to determine the image of the given point:

P'(x, y) = (-3, 4) + (7, -6) + (-1, 3)

P'(x, y) = (-3 + 7 - 1, 4 - 6 + 3)

P'(x, y) = (3, 1)

By applying concepts of linear algebra, the point P'(x, y) = (-3, 4) represents the translation of P(x, y) = (-3, 4) along the vectors <7, -6> and <-1, 3>.

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What is the value of x in the equation : sin 40 = cos (x)

Answers

Answer
Since sin x= cos (90- x)
Sin40=cos(90-40)
Sin 40=cos 50
X=50

complete the table of values for y=2xsquared+x

Answers

The solution of y= [tex]2x^{2} +x[/tex] given as:

x:   0      1       2       3

y:   0      3      10      21

What is Linear Equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given function is:

y= [tex]2x^{2} +x[/tex]

For finding the solution of above expression, take value of x and solve for y.

If x=0

y= 2(0)+0

y=0

If x=1,

y= [tex]2(1)^{2} +1= 3[/tex]

If x=2

y=[tex]2(2)^{2} +2=10[/tex]

If x=3

y= [tex]2(3)^{2} +3=21[/tex]

The required table is:

x:   0      1       2       3

y:   0      3      10      21

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If 15% of the length of rope is 75cm what is half of the length of rope

Answers

Answer:

250 cm.

Step-by-step explanation:

Half = 50% so by proportion:

Half length of the rope =  75 *50/15

= 250

Answer:

250 cm

Step-by-step explanation:

15% to decimal:

15% = 15/100 = 0.15

Then, half of the lenght of rope is:

[tex](\frac{75}{0.15}) /2=500/2 = 250[/tex]

Hope this helps

find the value of H in this angle. check the attachment on top.​

Answers

Answer:

133

Step-by-step explanation:

Line PYF is straight. Therefore, its angle measures 180°. One of the angles is 95°. The other angle measures (h-48)°.

Based on this info, we can form an equation:

95°+h°-48° = 180°

h°-48° = 180°-95°

h = 85°+48°

h = 133°

Hence, the value of h is 133°.

Hope this helps!!!

Please give me brainliest!!!

Two sets of data are each symmetrical and do not contain outliers. Which measures of center and
variability would be most effective to use when making comparisons between the two data sets?

A.
mean and MAD
B. mean and IQR
C. median and MAD
D. median and IQR

Answers

Solution:

As, two set of data are each symmetrical and do not contain outliers.

To find the center , the best way is to find Median of data set.Median of Data set is the mid value of Data that is center of Data.

As, you have to find variability , mean can't measure variability. Mean deviation would have been better option.

So, MAD=Median absolute Deviation , would be better tool to measure variability. Because it is Absolute difference between median and Each value of data set.

So, Option (C) median and MAD, would be best way to compare the two given data set.

The volume of this cube is 27 cubic meters. What is the value of m?

Answers

Hey ! there

Answer:

n is equal to 3 meters

Step-by-step explanation:

In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .

For finding the value of n we need to know the volume of cube. So ,

[tex] \: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}[/tex]

Where ,

a refers to edge of cube

SOLUTION : -

Substituting given volume that is 27 m³ and value of a as n in formula :

[tex] \quad \longrightarrow \qquad \: n {}^{3} = 27[/tex]

Applying cube root on both sides :

[tex] \quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27} [/tex]

We get ,

[tex] \quad \longrightarrow \qquad \:n= \sqrt[3]{27} [/tex]

We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,

[tex] \quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar[/tex]

Henceforth , value of n is 3 meters

Verifying : -

Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,

a³ = 27 ( where a is equal to n )

Substituting values :

( 3 )³ = 27

3 × 3 × 3 = 27

9 × 3 = 27

27 = 27

L.H.S = R.H.S

Hence, Verified .

Therefore, our answer is correct .

#Keep Learning

Answer:

3

Step-by-step explanation:

Formula for volume of cube :

V = n³

Here, V is given to be 27 m³.

Substitute the value of V in the formula.

Solving : Take the cubic root on each side.

27 m³ = n³n = ∛27 m³n = 3 meters

Three faces of a rectangular prism have areas 32 cm?, 40 cm?, and 20 cm? a) find the surface area of the prism. b) what are possible dimensions of the prism? how do you know? c) sketch and label the prism.

Answers

Answer:

Surface Area: 5440

Step-by-step explanation:

Volume: 25600

Surface Area: 5440

Work Volume

V = lwh

V = (32)(40)(20)

V = 25600

Work Surface Area

A = 2(wh + lw + lh)

A = 2( 40(20) + 32(40) + 32(20) )

A = 2(800 + 1280 + 640)

A = 2(2720)

A = 5440

The diagonal : 54.99

I need an answer to this:

Answers

Answer:
It will decrease cause there will be more deer. Deer eat blackberry bushes

Step-by-step explanation:

Answer:

It will decrease because there will be more deer

Step-by-step explanation:

Because of the lack of wolves, the deer population would increase. Since it would increase the amount of deer there would be less of the deer's food sources.

Solve the math:

Elsa is 2 years older than Bella. Emma is twice as old as Elsa. So, what will be the sum of their ages in 1 years time. And then also find out what was the summation of their ages before 5 years from now.

Answers

Answer:

Step-by-step explanation:

Let Emma's age be 2x years, then:

Elsa's age is x years, also:

Bella's age is x - 2 years.

In one years time the sum of their ages

=  2x + 1 + x + 1 + x - 2 + 1

= 4x + 1  where x = Elsa's age now.

5 years before now

Sum of their ages

=  2x -5 + x - 5 + x - 2 - 5

= 4x - 17 where x = Elsa's age now,

Type the correct answer in the box. if necessary, use / for the fraction bar. you toss five fair coins. the probability that all five coins land heads is .

Answers

If all five coins land heads, the expected will 1. The probability that all five coins land heads is 1/32

What is probability?

This is the likelihood or chance that an event will occur. Mathematically;

Probability = expected/total

If you toss five fair coins, the total outcome will be:

T = 2^5
T = 32

If all five coins land heads, the expected will 1. The probability that all five coins land heads is 1/32

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The number of siblings for a group of sixth grade students is shown below:
0, 1, 2, 1, 6, 0, 2, 0, 1, 10


Answers

What do you want us to find? Please state more info
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