Evaluate: open parentheses 3 y minus 2 close parentheses plus open parentheses fraction numerator 2 x y over denominator 3 end fraction space minus 30 space close parentheses space w i t h space x equals 10 comma space y equals 6 ANS.____________________ __________.

The options that describes a single transformation that compares the graph of g with the graph of f are;

B) The graph of g is shifted 3 units right.

C) The graph of g is shifted 3 units up.

Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation.

Translation is a method of transformation that involves moving an object or shape from one point to another without changing any dimension.

Reflection is a method of transformation that involves flipping a given figure about a given reference point or line. In order words, a mirror image of the original object.

Rotation is a method of transformation that involves  turning a given figure at an angle about a reference point.

Dilation is a method of transformation whereby the length of the sides of the figure is either increased or decreased.

Now, looking at the given graph, we see that the line showing the graph g is clearly shifted by either 3 units to the right or 3 units upwards to get the function line f.

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Answer:

x = -34

Step-by-step explanation:

Lets use "x" as the missing number

9 + x = 15 - 40

9 + x = -25

x = -25 - 9

x = -34

Answer:

C: 10

Step-by-step explanation:

The equation of the revenue is y = -500/3x + 3000 and the daily sales for $7.50 is $1750

The points are given as

(6, 2000) and (8, 1000)

Calculate the slope of the points using the following slope formula

m= (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (6, 2000) and (8, 1000)

Slope = m

So, we have

m = (1000 - 2000)/(8 - 2)

Evaluate the expression

m = -500/3

The equation of the line is then calculated using the line equation formula

y = m(x - x₁) + y₁

Where

(x₁, y₁) = (6, 2000)

So, we have

y = -500/3(x - 6) + 2000

Expand

y = -500/3x + 3000

This means that

x = 7.50

Recall that

y = -500/3x + 3000

Substitute x = 7.50

y = -500/3 x 7.50+ 3000

Evaluate

y = 1750

So, the daily sales is $1750

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Using the law of sines, the remaining angles and sides of the triangle are given as follows:

Suppose we have a triangle in which:

The lengths and the sine of the angles are related according to the equation presented as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

The remaining angle measure is given as follows:

[tex]\beta = 180 - (132 + 28) = 20^\circ[/tex]

(this is because the sum of the internal angles of a triangle is of 20º).

Then side a is calculated from the law of sines as follows:

sin(28º)/a = sin(132º)/13

a = 13sin(28º)/sin(132º)

a = 8.2.

Side b is also calculated from the law of sines, as follows:

sin(20º)/b = sin(132º)/13

b = 13sin(20º)/sin(132º)

b = 6.

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In this problem, we are going to state the domain (x-values)of the given scatter plot.

Notice that we are given individual points. That means the domain will also have individual values, or the x-vaues of the points.

In your graph, we are given th following points:

(2,2)

(2,10)

(3,7)

(5,5)

(8,5)

So, the domain for the graph will have the values 2, 3, 5, 8, or the first option on your dropdown menu.

Given

Four friends are playing a game.

36 cards are dealt out between the friends.

To find: Which equation can be used to find how many cards each person receives.

Explanation:

It is given that,

Four friends are playing a game.

36 cards are dealt out between the friends.

Let x be the number of cards received by each person.

Then,

Hence, each person receives 9 cards.

Thus,

Answer:

x = -72

Step-by-step explanation:

3(2x + 11) + 4(2x + 3) = 9(2x + 13) - 3x

(6x + 33) + (8x + 12) = (18x + 117 ) - 3x

14x + 45 = (18x + 117) - 3x

14x + 45 = 15x + 117

                         -45

14x  = 15x + 72

-15x

-1x = 72

       /-1

x = -72

Answer:

  0.1468 ohms per second

Step-by-step explanation:

You want the rate of change of R when ...

The desired rate of change is the derivative of R with respect to time. Implicitly differentiating the given relation with respect to time, we have ...

  -R'/R² = -r1'/r1² -r2'/r2²

  R' = R²(r1'/r1² +r2'/r2²)

Using the given relation and values, we have ...

  1/R = 1/70 +1/120 = 190/(70·120)

  R = (840/19)

  R' = (840/19)(0.3/70² +0.2/120²) = 53/361 ≈ 0.1468

The rate of change of R is about 0.1468 ohms per second.

Additional comment

Most graphing calculators can figure this value for you.

(5x)(-2x) in words is Five times x multiplied by negative two times x

Using variables, constants, and algebraic operations, an expression can be described as an algebraic expression in mathematics (addition, subtraction, etc.). Terms are used to construct expressions. Any combination of a number, a variable, and operation symbols is considered an expression. Two expressions are combined to form an equation, which is joined by the equal sign. Example of a word: The product of 8 and 3. Word illustration: 11 is the result of adding 8 and 3.

Given Data

Expression

(5x)(2x)

Translating algebraic expression into verbal expression:

Five times x multiplied by negative two times x

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In a inverse variation you have two variables, in this case (x,y) x and y, and a constant value k in the form:

When x increase y decreases and when x decreases y increases (inverse variation)

As you have two (x,y) data;

(-4, 3 ) and (-1 , n)

And both have the same constant k.

Solve in the first equation the k:

Use the value of k= -12 to find n in the second equation:

Solution

We are given

First, we will find the probability p(29 < x-bar < 83)

Note: z score formula

To find the probability

Therefore, the percentage within the given interval will be

The answer is

Answer:

34 degrees

Explanation;

Using the theorem below to solve the problem;

Angle at the vertex is equal to to half of the difference of angles of its intercepted arcs

Angle at the vaertex = z

difference of angles of its intercepted arcs = 108 - 40

difference of angles of its intercepted arcs = 68

Using the theorem

z = 1/2(108-40)

z = 1/2 * 68

z = 34 degrees

Hence the value of z is 34 degrees

hi, for solve this question we need to use the formula below:

First, the area of the base:

Now, the area of each triangular side:

we have the base as 4in, and the height as 9in.

So, using the formula:

Now, let's sum all of the values:

4 triangular sides + 1 quadrangular side

(4 * 18in) + (1 * 16in)

72in² + 16in² = 88in²

Answer: ALTERNATIVE NUMBER 2. 88in²

ANSWER :

The equivalent fractions are :

24/42 = 4/7

16/20 = 4/5

EXPLANATION :

From the problem, we have the fractions 24/42 and 16/20

For 24/42

We need to think of a number that the numerator and the denominator will be divisible of.

24 and 42 are both divisible by 6.

That will be :

Therefore, the equivalent fraction for 24/42 is 4/7

For 16/20

We will do the same procedure, 16 and 20 are divisible by 4.

That will be :

The equivalent fraction for 16/20 is 4/5

ANSWER:

x + y = 0

x - y = 0

EXPLANATION:

Given the coordinates:

A(-3,3)

B(3,3)

C(3,-3) and

D (-3,-3)

One diagonal is line AC.

Find the slope of AC:

Solpe of AC = -1

Using the slope intercept form, y = mx+b, we have:

y = -1x + b

y = -x + b

The equation for AC:

y = -x

The other diagonal is BD.

find the slope of BD:

Slope of BD = 1

The equation of BD:

y = 1x

y = x

Therefore the equation of both lines in standard form will be:

AC ==> x + y = 0

BD ==> x - y = 0

The resulting value of the division of x²+x-4 by (x+3),

Quotient = x - 2

Remainder = 2

Division:

The process of division means the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Given,

Here we have the expression x²+x-4.

Now, we need to divide by the expression (x + 3).

Here we have to use the long division method in order to solve it.

The following steps are followed to solve this:

1. Divide the first term of the dividend by the first term of the divisor

2. Write down the calculated result x in the upper part of the table.

3. Multiply it by the divisor

4. Subtract this result from the dividend

This steps is repeated until no further division.

Thus process will be showed on the attached figure.

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Answer:

{1, 2, 3, 4, 5, 6, 7, 8, 9}

Step-by-step explanation:

[tex]A \cup B[/tex] represents the set of all elements in [tex]A[/tex] or [tex]B[/tex].

Answer:

A

Step-by-step explanation:

Because square root of 30 is 5.4 rounded, and square root of 6 is 2.4 rounded, so 5.4 divided 2.4 is 2.25, and square root of 5 (Answer choice A) is 2.25 rounded as well. They are more accurate when not rounded btw u can check yourself:) HAVE A GREAT DAY/NIGHTT!

we have the list

12, -4, -9,2, -2

rewrite in increasing order from left to right

The answer is

As shown on the graph:

y-intercept is the value of y at which x = 0

so, from the graph when x = 0 , y = -3

To find the slope use two points to calculate it

Using the points (0 , -3) and ( 4 , 4 )

the slope = Rise/Run

Rise = 4 - (-3) = 4 + 3 = 7

Run = 4 - 0 = 4

so, the slope = 7/4

The slope intercept form of the line is y = mx + c

Where m is the slope and c is y-intercept

Slope = m = (7/4)

y-intercept = c = -3

So,

y = (7/4) x - 3

The vertex form is given by:

The parent function is:

The function is vertically stretched by a factor of 2 :

and translated 14 units right:

and 6 units up:

Answer:

We have

the base is 8.2 and the exponent is the number of times the number repeated in this case it is 3 therefore the answer is

ANSWER

D. 8.2^3

SOLUTION:

Step 1;

In this question, we are given the following;

Jessica used 2/3 yard of fabric to make scarf can she make 2 of these scarfs with 1 3/4 yards of fabric, and why?

Step 2:

The details of the solution are as follows;

Complete the sentences

A. All right angles are 90 degrees (by definition)

B. supplemenatry angles form straight line (by definition)

C. If two angles form a linear pair, then the are supplementary (by definition)

D. When two lines intersect, the inverse angles are congruent.

In the given image of two intersecting lines, you have m∠1 = 67°

E. angle 2 and angle 1 are supplementary, then;

m∠2 + m∠1 = 180°

m∠2 = 180° - m∠1

m∠2 = 180° - 67°

m∠2 = 113°

F. angle 3 and angle 1 are congruent, then:

m∠3 = m∠1 = 67°

Due to the given image, you have the following expressions:

2x + x + 60° = 180° supplementary angles

3x + 60° = 180° subtract 60 both sides

3x = 180° - 60°

3x = 120° divide both sides by 3

x = 120/3

x = 40°

Furthermore, for y, you have:

x + y + y + 20° = 180° supplementary angles

x + 2y + 20° = 180° replace x = 40

40 + 2y + 20° = 180°

2y + 60° = 180° subtract 60 both sides

2y = 180° - 60°

2y = 120°

y = 120/2 divide by 2 both sides

y = 60°

Answer: 180 degree's make up a straight line.

Step-by-step explanation:

Answer:

-3 < x < 6

Step-by-step explanation:

-21 < 3x - 12 < 6

first lets add 12 to everything

-9 < 3x < 18

now lets divide everything by 3

-3 < x < 6

We have that Dakota fills a measuring cup 5/8 cup of sugar two times. The multiplication equation that shows the total amount of sugar is:

We needed to multiply the fraction 5/8 by 2, and then solve for the given operations.

Therefore, the answer is the last option:

2 x 5/8 = 10/8 = 1 2/8 cups of sugar