explain how to multiply rational expressions

Answer:

Step-by-step explanation:

1. (-4, -2) (4, 0)

   (0 + 2)/(4 + 4)= 2/8= 1/4

2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2

3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2

4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2

Answer:

On the LHS:

Frequency is measured in rad/s, or [tex]s^-^1[/tex];.

On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.

[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]

5(2)^2-2(7) = 6

6(7+2)/2 = 27

Therefor the correct answer is the < symbol.

I hope this helps! :)

Answer:

the answer to (-7/10)(2/5) is -7/25.

or if you need decimal form it is -0.28

Step-by-step explanation:

Answer:

that's definitely true

9514 1404 393

Answer:

  (b)  The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.

Step-by-step explanation:

The slope of the relation for Restaurant A is ...

  y/x = 1/10

The slope of the relation for Restaurant B is ...

  y/x = 5/25 = 1/5 = 2×1/10

The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.

It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.

Since the slope m here is -1/4, we can write :

y = (-1/4)x + b

And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :

b + (-1/4)*(-2) = 6

b = 6 - (-1/4)*(-2)

b = 6 - (2/4)

b = 6 - 1/2

b = (12-1)/2 = 11/2

Finally, the equation is y = (-1/4)x + 11/2

Answer:

1.$2.89

Step-by-step explanation:

1/3 off $ 0.38 $ 0.25

2 for 1 at $ 5.78 $ 2.89

The correct alternative that, matches the correct value of this expression is the letter D. That is, the answer will be -50.

To find the value of this expression, let's eliminate the parentheses and extract the numbers.

To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.

_ When the signs are the same: just add them up.

_ When the signs are different: just subtract.

[tex]\large \sf =-46 + (- 4)[/tex]

[tex]\large \sf =-46-4[/tex]

[tex]\boxed{\boxed{\large \sf -50 }}[/tex]

So, the numeric value of this numeric expression will be -50.

C. For each term in this expression, you can just apply the power rule.

[tex]y = 3x^2 - \sqrt x + \dfrac2x = 3x^2 - x^{\frac12} + 2x^{-1}[/tex]

[tex]\implies \dfrac{dy}{dx} = 2\cdot3x^{2-1} - \dfrac12 x^{\frac12-1} + (-1)\cdot2x^{-1-1}[/tex]

[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac12 x^{-\frac12} - 2x^{-2}[/tex]

[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac1{2\sqrt x} - \dfrac2{x^2}[/tex]

Every other choice involves composite functions that do require the chain rule to differentiate.

Option C  : [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex]  can be differentiated without using chain rule.

The differentiation of  [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex]   without using chain rule can be done as follows:

[tex]\begin{aligned}\dfrac{dy}{dx} &= \dfrac{d}{dx}(3x^2 - \sqrt{x} + \dfrac{2}{x})\\\\&= \dfrac{d}{dx}(3x^2 - x^{\frac{1}{2}} + 2x^{-1})\\&= 6x - (1/2)x^{-\frac{3}{2}} -2x^{-2}\\\end{aligned}[/tex]

The rest of the functions are composite, which means, that after differentiating them with some other base, you need to change the base and differentiate again, thus applying chain rule.

Thus, the function [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex]   can be differentiated without using chain rule.

Thus, option C:   [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex]   is correct option.

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Answer:

Step-by-step explanation:

ceiling 22² = 484 ft²

walls 4(22)(8) = 704 ft²

Total  1188 ft²

The values of the central tendencies are as follows;

The mean of Class 1 is 78.83.

The median of Class 1 is  88

The mean of Class 2 is 79.42

The median of Class 2 is 85.50

The mean of Class 3 is 79.42

The median of Class 3 is 78

The standard deviation of Class 1 is 18.81

The standard deviation of Class 2 is 16.15

The standard deviation of Class 3 is 12.70.

Mean is the average of a set of numbers.

Mean = sum of numbers / total number

Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83

Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42

Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42

Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.

Median of Class 1 = (86 + 90) / 2 = 88

Median of Class 2 =  (84 + 87) / 2 = 85.50

Median of Class 3 = (76 + 80) / 2 = 78

Standard deviation is used to calculate the average variation of a dataset.

Standard deviation = √((x - μ)²/σ)

Where:

x = number in the dataset

u = mean

n = total numbers in the dataset.

Standard deviation of Class 1 = 18.81

Standard deviation of Class 2 = 16.15

Standard deviation of Class 3 = 12.70

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Complete question is;

Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three

Algebra 1 courses and all the classes recently took a chapter exam.

Below are the scores.

Class 1

45

68

77

90

90

95

100

100

86

90

50

55

Class 2

64

65

70

40

100

87

84

88

90

90

95

80

Class 3

70

75

75

90

100

80

55

65

76

80

88

99

a. Find the mean, median, mode and range of Class 1.

b. Find the mean, median, mode and range of Class 2.

c. Find the mean, median, mode and range of Class 3.

d. Find the standard deviation of Class 1.

e. Find the standard deviation of Class 2.

f. Find the standard deviation of Class 3.

Answer:

Down below! Hope this helps! Mark me Brainly!

Step-by-step explanation:

A.

The mean 78.83.

The median  88

The mode 90

The range 55

B.

The mean 79.42

The median 85.50

The mode 90

The range 60

C.

The mean 79.42

The median 78

The mode 75 and 80

The range 45

D.18.81

E.16.15

G.The class that had the higher standard deviation is class 1.

H.The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.

Answer:

The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.

Step-by-step explanation:

Answer:

A= adult tickets, C=children tickets, S=senior tickets

A-10=C; C+10=A

4C=S

4C+6S+10A=1240, but S=4C and C=A-10

4C+24C+10C+100=1240

38C=1140

C=30 children tickets and $120

A=C+10=40 adult tickets and $400

4C=S=120 senior tickets and $720

$120+$400+$720= $1240.

Answer:

1024

Step-by-step explanation:

because its going by 4

Answer:

x<3

Step-by-step explanation:

22-6x > 4

solve like a regular equation for x

subtract 22 on both sides

-6x>-18

divide -6

x>3

and since 6 is negative you switch the sign

so

x<3

Answer:

3 hours

144 bulbs

Step-by-step explanation:

33t + 45 = 36t + 36

Subtract 33t from both sides

45 = 3t + 36

subtract 36 fromboth sides

9 = 3t

divideboth sides by 3

3 = t

3 hours

How many bulbs will that be?

33(3) + 45

99 + 45

144

Answer:

"given figure"

No figure was given.

Step-by-step explanation:

Answer:

8/21

I don't think that it can be simplified further....

Answer:

⁸/₂₁

Step-by-step explanation:

²/₃ ·⁴/₇ = ⁸/₂₁

you just multiply the denominator with the denominator, and the numerator with the numerator.

Answer:

line segment A B

Step-by-step explanation:

it's really a ray, not a line segment

In circle D, the AB line segment is tangent to the circle.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Since A line that only has one point where it crosses a circle is said to be tangent to the circle. The point of contact is the location where the circle and the tangent meet.

Thus, in the given figure AB is the tangent line segment of the circle D.

From the properties of the circle, we can state that,

FE is Diameter,

The CD is representing the radius, and

GH is representing the Secant line of the circle D.

Therefore, In circle D, the AB line segment is tangent to the circle.

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Answer:

Step-by-step explanation:

(180 - 127) / 2 = 26.5°

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The problem [tex]2x - 3x = 3[/tex] is incorrect. The correct answer for that one is [tex]-x \:\sf{or\:-1[/tex]

[tex]\sf{Simplify\: the\: expression.[/tex]

[tex]\sf{\frac{16x}{64x} = \frac{1}{4}[/tex]

[tex]x=\frac{1}{4}[/tex]

Therefore, the answer is [tex]\frac{1}{4}[/tex]

Answer:

We would need to see the tiles and table. If you'd attach them I'd love to help

Step-by-step explanation:

The triangle is solved and the measure of internal angles = 180°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the two parallel lines be y and z

where y ║ z

And , ∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem.

So , ∠1 = ∠5 and ∠3 = ∠6

And , the measure of ∠1 + ∠2 + ∠3 = 180° ( angles on straight line )

And , the measure of ∠5 + ∠2 + ∠6 = 180° ( angles on straight line )

where the measure of ∠1 = ∠5 ( alternate interior angles )

And , the measure of ∠3 = ∠6 ( alternate interior angles )

Hence , the triangle is solved

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The complete question is attached below :

Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180°

Answer:

$154.96

Step-by-step explanation:

difference means to subtract so 879.95-724.99=154.96

Answer:

1.13

Step-by-step explanation:

to turn a fraction to a decimal divide the denomitator by the numerator [tex]\frac{-25}{22}[/tex] can also be written as -25÷22 which equals 1.13 or 1.136 with a line over it

Hope this helps!