[tex]\begin{gathered} \text{The equation of the blue graph is;} \\ G(x)=(x+2)^2+1 \end{gathered}[/tex]

Here, we want to deduce the equation of the blue graph

From what we have, we can see that the image of the f(x) was moved 2 units to the right and 1 unit upwards

What this mean is that, we have 1 added to the y value and 2 added to the x value

So, the equation of the blue graph is

[tex]G(x)=(x+2)^2+1[/tex]I want a line with equation y=mx+9 to pass through the point (10,10). What is m?

please please help

**Answer:**

**Step-by-step explanation:**

**Given**

To find the slope **plug in the coordinates of the given point**, x = 10 and y = 10 and solve for m:

The **line **is:

the equation of three lines are given below line 1:y=5/3x-6line 2:10x-6y=8line 3: 3y=5x+7for each pair of lines determine whether they are parallel perpendicular or neither line1 and line 2: parallel perpendicular or neither Line 1 and line 3:parallel perpendicular or neither line 2 to a line 3:parallel perpendicular or neither

line 1 = y = 5/3 x - 6

Find the slope of the line by comaring it with y = mx+ b

m= 5/3

Line 2

Write the equation in the form y =mx +b and find the slope m

10x - 6y = 8

6y = 10x - 8

Divide through by 6

y = 10/6 x - 8/6

y = 5/3 x - 4/3

m= 5/3

Line 3

3y = 5x + 7

Also write in the form y =mx + b and find the slope m

y = 5/3 x + 7/3

m = 5/3

Line 1 and line 2 are parallel since they have the same slope

Line 1 and 3 are parallel (they have the same slope)

Line 2 and 3 are parallel, they have the same slope

(2580+2920+x)/3=3000

**Answer:**

x = 3500

**Step-by-step explanation:**

2580 + 2920 + x

------------------------ = 3000

3

5500 + x

------------------------ = 3000(3)

3(3)

5500 + x = 9000

-5500 -5500

------------------------------

x = 3500

I hope this helps!

Triangle ABC is shown in this figure. 2 A B Which statement justifies that the sum of Angle 1 and Angle 2 is 180°? O All adjacent angles are supplementary. O Adjacent angles that form a linear pair are supplementary. O The sum of any interior and any exterior angle of a triangle is 180° 0 Each pair of interior and exterior angles that lie on a line is complementary

The answer is Adjacent angles that form a linear pair are supplementary.

November 1 Accepted a $4,000, 180-day, 6% note from Kelly White in granting a time extension on her past-due account receivable. December 31Adjusted the year-end accounts for the accrued interest earned on the White note. April 30White honored her note when presented for payment. Complete the table to calculate the interest amounts on December 31st and April 30th and use those calculated values to prepare your journal entries.

The **interest **amounts on December 31st and April 30th are $100, $33, and $67. Also, the** journal entries** are mentioned below.

The Computation of the **interest **amount is shown below:-

Particulars Total through Through maturity Through maturity

Maturity Dec 31 Apr 30

Principal $4,000 $4,000 $4,000

Rate 5% 5% 5%

Time 180 ÷ 360 60 ÷ 360 120 ÷ 360

Total **interest **$100 $33 $67

2. The **Journal entries** are shown below:-

a. Notes receivable Dr, $4,000

To accounts receivable $4,000

(Being issuance of notes is recorded)

b. **Interest **receivable Dr, $33

To **Interest **revenue $33

(Being **interest **revenue is recorded)

c. Cash Dr, $4,100

To Notes receivable $4,000

To **Interest** revenue $67

To **Interest **receivable $33

(Being cash received is recorded)

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The first aircraft has 65 more seats than the second aircraft. The third aircraft has 41 fewer seat than the second aircraft. If their total number of seats is 402, find the number of seats for each aircraft.

**Solution:**

Let A be the first aircraft

Let B be the second aircraft

Let C be the third aircraft

Here is the information that is given in the question:

The first aircraft has 65 more seats than the second aircraft:

A = B + 65

The third aircraft has 41 fewer seats than the second aircraft

C = B - 41

their total number of seats is 402

A + B + C = 402

Now substitute the values in the 1st and 2nd equations into the 3rd.

(B+65) + B + (B-41) = 402

this is equivalent to:

3B + (65-41) = 402

this is equivalent to:

3B + 24 = 402

this is equivalent to:

3B = 402 - 24 = 378

solving for B, we get:

[tex]B\text{ = }\frac{378}{3}=126[/tex]We can conclude that **the correct answer is:**

**first aircraft A: **

A = B + 65 = 126 + 65 = 191

that is:

A = 191

**second aircraft:**

B = 126

**third aircraft:**

C = B - 41 = 126 - 41 = 85

that is:

C = 85

Which of the following statements is true about the graph shown?

The equation y = 4.5x is correctly represented by the graph.

The graph is incorrect and the line should go through the point (3, 13.5).

The graph is incorrect and the line should go through the point (4.5, 4.5).

The graph does not show a proportional relationship.

**Answer:**

**B. The graph is incorrect and the line should go through the point (3, 13.5)**

**Step-by-step explanation:**

The equation is **y = 4.5x**

*y = the y-axis/dependent variable*

*x = the x-axis/independent variable*

4.5 x 1 = 4.5

4.5 x 2 = 9

4.5 x 3 = 13.5

Therefore the written ordered pairs would look like this.

(1, 4.5)

(2, 9)

(3, 13.5)

In the graph, (3, 13.5) is graphed as (13.5, 3) making the graph incorrect.

The statement which is true about the **graph** shown is that: the **graph** is **incorrect** and the line should go through the **point** (3, 13.5).

Generally speaking, the **graph** of any linear function is always modeled by a straight line and it indicates a proportional relationship because it starts from the origin (0, 0).

Mathematically, a proportional relationship can be represented or modeled by the following linear equation:

y = kx

Where:

k represents the constant of proportionality.x and y represents the dataAt data **point** (4.5, 4.5), we have:

y = 4.5x

y = 4.5(4.5)

y = 20.25 (**incorrect**).

At data **point** (3, 13.5), we have:

y = 4.5x

y = 4.5(3)

y = 13.35 (correct).

Therefore, we can logically deduce that this **graph **is **incorrect **because its line didn't pass through the data **point **(3, 13.5).

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5. Write the division problem as a

multiplication equation with a

missing factor. The find the quotient.

2.1 /0.7

The quotient in this **division problem** is 3,4.

What is **division problem**?

There are three main parts to a division problem that are -the dividend, the **divisor**, and the quotient. The dividend is the number that will be the divided. The **division** is the number of (people )that the the number is being divided by among And The quotient is the answer.

a division is a process of a splitting a specific of amount into the equal parts.

Sol-

The formula is -

a/b=?

b×?=a

We can write a division statement as a multiplication statment

12/4=3

4×3=12

Thus

The quotients in this **division problem **are 3 and 4.

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Consider the following system of equations 4x + 6=24 and 2x + 3y=8 How many solutions does this system have? Justify your answer. Part B If we triple each side of the first equation 4x+6y=24, we have 12x+18y=72. Explain why the new system 12x+18y=72 and 2x+3y=8 has the same number of solutions as the original system.

For the given system of **equations** 4x + 6y=24 and 2x + 3y=8, there is no **solution** exists.

For the given system of equation,

4x + 6y =24 ......eq 1

and 2x + 3y = 8 ..... eq2

use elimination method.

Multiply eq 2 with 2 and subtract from eq 1.

0 = 16

But 0 ≠ 16, the system of equation becomes untrue.

As, the values o f the variables x and y are getting cancelled. So, the there is **no solution** existed for the given system.

Also,the **ratio **of 4x/2x = 2 and 6y/3y = 2 is same thus, no solution is possible for the **system**.

Now, when the we triple each side of the first equation 4x+6y=24, we have 12x+18y=72.

The new system 12x+18y=72 and 2x+3y=8

Then, also 12x/2x = 6 and 18y/3y = 6 is also same. Then, also the system of equation does not have any solution of the system.

Thus, the system of **equation **does not have any solution.

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I’m needing guidance solving this equation 9x-9=3x+7

GROUP THE LIKE TERMS FIRST.

[tex]9x - 3x = 7 + 9[/tex]

WHEN TERMS CROSS THE EQUAL SIGN THEY CHANGE SIGN.

[tex]6x = 16 \\ \frac{6x}{6} = \frac{16}{6} \\ x = \frac{16}{6} [/tex]

**x**** ****can**** ****be**** ****simplified**** ****further**

**[tex]x = \frac{8}{3} [/tex]**

**HOPE**** ****THIS HELPS****. **

**Answer:**

The answer should be x=2.6

**Step-by-step explanation:**

9x-9=3x+7

-first you should move the numbers so you can get all your x values on one side and all your regular numbers on the other like this

9x-3x=7+9

-What i basically did was i passed the 3x from the right side to the left side of the equation, since in adding the 3x originaly, when i pass it to the left side itll be subtracting. then i passed my -9 to the right side of my equation, since i was subtracting originaly ill have to now switch it to adding

-after you do this you are going to want to want to combine like terms

6x=16

-then you are going to want to devide on both sides so you can get x alone

x=2.6

=MATHEMATICAL READINESSSummation of indexed dataThe following is a list of 14 measurements.38. -82. 19. 84. -37.93.-31, -73, -50.-65.-31. -85, -48Suppose that these 14 measurements are respectively laSum of Xi/ 50 with i going from 1 to 14Round your answer to at least two decimal places.

In order to calculate the sum we need to iterate over the "xi" variable going from 1 to 14 and adding all the data.

[tex]\begin{gathered} \sum ^{\infty}_{n\mathop=1}\frac{x_i}{50}\text{ = }\frac{38\text{ - 82}+19+84-37.93-31-73-50-65-31-85-48}{50} \\ \sum ^{\infty}_{n\mathop{=}1}\frac{x_i}{50}\text{ = }\frac{-361.93}{50}\text{ = -7}.2386 \end{gathered}[/tex]The answer is approximately -7.24.

How many pounds of N are in 2 tons of manure (4.8% N)?

Answer: 192 lbs

Total weight of manure = 2 tons

Step1: we need to converts tons to pounds

1 ton = 2000 lb

2 tons = x lb

Cross multiply

2 x 2000 = 1 * x

x = 2 x 2000

x = 4000 lbs

Therefore, 2 ton of manure = 4000 lbs of manure

We have 4.8% of N in the manure

Pounds of N = 4.8/100 x 4000

Pounds of N = 0.048 x 4000

Pounds of N = 192 lbs

The pounds of N in 2 tons of manure is 192 lbs

HELP ASP show your work!!

The **minimum** number of **friends** for which Jump it Up is 7

A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).

**Sky** **high** pricing:

$50 for <=10 people and $5 per person after that

Jump it Up pricing:

Set up charges = $70

Per person charges = $2

Let p be the number of people

Formulating the equation we get:

50 + 5p = 70 + 2p

3p = 20

p = 6.66

or p =7

So, Jump it up will be less expensive for 7 friends

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USChoose the definition for the function.1(-x + 2 x < 1 --x+ 2 x > 1C. Y = { x + 1x S1a.y=x+1--x+ 2 x51 d. y = { x+1b. y = x + 1-x + 2 x 2 16*x > 1Enter

Given data:

The given graph.

The equation of the line when x is less than or equal to 1 is,

x+1

he equation of the linne when x is greater than 1 is,

-x+2.

Thus, the correct option is (c).

ASAP PLEASE HURRY

What is the value of q − 8 if q = −18?

A. 26

B. -26

C. 10

D. -10

**Answer:**

-26

**Step-by-step explanation:**

Q = -18

-18 - 8

-26

Hope this helps! :)

Are the proof and the identity valid? if not, what is the invalid step in the proofStep 1: x (9x+3) +3(x+3)=9x²+6x+9Step 2: =(3x+3)²Step 3: =(3(x+1))²Step 4: =9(x+1)²A) the proof is validB) step 2 is not validC) step 1 is not validD) step 3 is not valid

Are the proof and the identity valid? if not, what is the invalid step in the proof

Step 1: x (9x+3) +3(x+3)=9x²+6x+9

Step 2: =(3x+3)²

Step 3: =(3(x+1))²

Step 4: =9(x+1)²

A) the proof is valid

B) step 2 is not valid

C) step 1 is not valid

D) step 3 is not valid

Verify each step

step 1

x (9x+3) +3(x+3)

=9x^2+3x+3x+9

=9x^2+6x+9

step 1 is correct

step 2

Complete squares

9x^2+6x+9=0

Factor 9

9(x^2+6/9x)+9=0

9(x^2+2/3x)+9=0

9(x^2+2/3x+4/36-4/36)+9=0

9(x^2+2/3x+4/36)+9-1=0

9(x^2+2/3x+4/36)+8=0

9(x+2/6)^2=-8

therefore

step 2 is not validDoes this work show that 8 is a solution to the equation s-3=11 and how?

**Given - **

s - 3 = 11

**To Find - **

Is s = 8 a solution or not?

**Step-by-Step Explanation -**

on Putting s = 8 in the above equation

8 - 3 = 11

5 = 11

Which is not true as 5 ≠ 11

**Final Answer - **

**Option (D)**

**No, Because the last line of the work is not true. 5 and 11 are not equal**

What is the most precise name for quadrilateral ABCD with verticesA(-5, 7), B(6,-3), C(10, 2), and D(-1, 12)?A. rectangleB. rhombusC. squareD. parallelogram

**Given that**

The vertices of a quadrilateral are A(-5, 7), B(6,-3), C(10, 2), and D(-1, 12).

So we have to find the type of quadrilateral ABCD.

**Explanation **-

First, we have to find the length of each side AB, BC, CD, and DA.

We will use the distance formula to find the length of each side

[tex]\begin{gathered} T\text{he distance formula for point \lparen x}_1,y_1)\text{ and \lparen x}_2,y_2)\text{ is } \\ d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \end{gathered}[/tex]Now we will find the sides by substituting the value,

[tex]\begin{gathered} For\text{ AB,} \\ AB=\sqrt{(6-(-5))^2+(-3-7)^2} \\ \\ AB=\sqrt{(6+5)^2+(-10)^2}=\sqrt{11^2+10^2}=\sqrt{121+100}=\sqrt{221} \\ \\ AB=\sqrt{221}\text{ units} \end{gathered}[/tex][tex]\begin{gathered} For\text{ BC,} \\ BC=\sqrt{(10-6)^2+(2-(-3))^2} \\ BC=\sqrt{4^2+(2+3)^2} \\ BC=\sqrt{16+25}=\sqrt{41} \\ BC=\sqrt{41}\text{ }units \end{gathered}[/tex][tex]\begin{gathered} For\text{ CD} \\ CD=\sqrt{(-1-10)\placeholder{⬚}^2+(12-2)\placeholder{⬚}^2} \\ CD=\sqrt{(-11)^2+(10)^2} \\ CD=\sqrt{121+100} \\ CD=\sqrt{221}\text{ units} \end{gathered}[/tex][tex]\begin{gathered} For\text{ DA,} \\ DA=\sqrt{(-1-(-5))^2+(12-7)^2} \\ DA=\sqrt{(-1+5)^2+5^2} \\ DA=\sqrt{4^2+5^2}=\sqrt{16+25} \\ DA=\sqrt{41}\text{ units} \end{gathered}[/tex]So we found that the opposite sides are equal. So it can be a parallelogram or a rectangle.

Now, we will check the triangular part ABC, by applying Pythagoras' theorem.

[tex]\begin{gathered} In\text{ trianlge ABC, } \\ AC=\sqrt{(10-(-5))^2+(2-7)^2}=\sqrt{(10+5)^2+(-5)^2} \\ AC=\sqrt{15^2+5^2} \\ AC=\sqrt{225+25}=\sqrt{250} \\ Now\text{ using pythagoras theorem we have,} \\ AC^2=AB^2+BC^2 \\ \sqrt{250}^2=\sqrt{221}^2+\sqrt{41}^2 \\ 250=221+41 \\ 250\ne262 \end{gathered}[/tex]**So it is a parallelogram. Then option D is correct.**

**Final answer -**

what is 2 2/5 - 3 1/2

[tex]\begin{gathered} 2\cdot\frac{2}{5}-3\cdot\frac{1}{2}=\frac{(2\cdot5)+2}{5}-\frac{(3\cdot2)+1}{2} \\ =\frac{10+2}{5}-\frac{7}{2} \\ =\frac{12}{5}-\frac{7}{2} \end{gathered}[/tex][tex]\begin{gathered} \text{ Now, we remember that } \\ \frac{a}{b}-\frac{c}{d}=\frac{(a\cdot d)-(b\cdot c)}{b\cdot d} \end{gathered}[/tex][tex]\begin{gathered} \text{ Thus we get } \\ \frac{12}{5}-\frac{7}{2}=\frac{(12\cdot2)-(5\cdot7)}{5\cdot2} \\ =\frac{24-35}{10} \\ =-\frac{11}{10} \end{gathered}[/tex][tex]\begin{gathered} \text{ So, we finally have} \\ 2\cdot\frac{2}{5}-3\cdot\frac{1}{2}=\frac{-11}{10} \end{gathered}[/tex]

Find the altitude of rhombus whose area is 208 cm² and perimeter is 64 cm.

Given the area of a rhombus is 208 cm square and the perimeter of rhombus is 64 cm.

Recall that all the sides of the rhombus are equal.

Hence,

[tex]\begin{gathered} \text{perimeter}=4\times sides \\ 64=4\times\text{side} \\ 16cm=\text{side} \end{gathered}[/tex]Area of rhombus is :

[tex]\begin{gathered} area=base\times height \\ 208=16\times h \\ h=\frac{208}{16} \\ h=13\operatorname{cm} \end{gathered}[/tex]Hence the altitude of the Rhombus is 13 cm.

Which expression is equivalent to the following complex fraction?3.4X-12x-2-X-12(x-2)O-4x+7-4x+72(x-2)-4x+72(x2-2)21x2 - 2)-4x+7

**Solution**

For this case we can do the following:

[tex]\frac{3}{x-1}-4=\frac{3-4x+4}{x-1}[/tex][tex]2-\frac{2}{x-1}=\frac{2(x-1)-2}{x-1}[/tex]And if we simplify we got:

[tex]\frac{3-4x+4}{2(x-1)-2}=\frac{7-4x}{2x-2-2}=\frac{7-4x}{2x-4}=\frac{-4x+7}{2(x-2)}[/tex]Final answer would be:

-4x+7 /( 2(x-2))

Question content area top

Part 1

A box of cereal states that there are calories in a

-cup serving. What is the unit rate for calories per cup? How many calories are there in of the cereal?

The unit rate for **calories** per cup is 100 calories per cup.

There is 400 calories in 4 cup of cereal.

Given,

The amount of calories in 3/4 of the cup = 75 calories

We have to find theThat is,

Unit rate of calories = 75 / (3/4)

Unit rate of calories = 75 × (4/3)

Unit rate of calories = 25 × 4

Unit rate of calories = 100

There are 100 calories in a cup of** cereals.**

Now,

We have to find the calories in 4 cup of cereals.Calories in 4 cup = Calories in one cup × 4

Calories in 4 cup = 100 × 4

Calories in 4 cup = 400

So,

There are 400 **calories** in 4 cup of cereals.

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what is this pleaseeee

The correct option C: y = (x + 2)(x -3)²(x - 1)² is **function** which correctly represents the given** graph.**

For the given graph;

Select one coordinate of the curve from the graph.

Point (0, 18); in which y is 18 for x = 0.

Now, go by** option **and put the value of x = 0 and find the correct value of y.

Option C: y = (x + 2)(x -3)²(x - 1)²

Put x = 0

y = (0 + 2)(0 -3)²(0 - 1)²

y = (2)(-3)²(- 1)²

y = 18

We, get the correct **coordinates **(0, 18).

Thus, the correct option is C, which satisfies the given **graph**.

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6. A grocery store sells bags of oranges in two different sizes.

The 3-pound bags of oranges cost $4.

The 8-pound bags of oranges for $9.

Which oranges cost less per pound? Explain or show your reasoning.

(From Unit 2, Lesson 10.).

The 8 pound bag of oranges cost less.

Explanation:

4/3= 1.33 pounds per bag

9/8 = 1.125 pounds per bag

Explanation:

4/3= 1.33 pounds per bag

9/8 = 1.125 pounds per bag

which statement is true of this function f x equals 1/5 - 2

Its a decreasing function, and the y-intercept is NOT on (0, -2).

The correct option is A

(A) As the value of x increases, the value of f(x) moves towards a constant

a cooler at picnic contain

we know that

the total cans are 100

number of cans of root beer=24

number of cans of orange soda=12

number of cans of cola=16

therefore

the probability is equal to

P=(24+12+16)/100

P=52/100

P=0.52 or P=52%

as fraction is 52/100=26/50=13/25

answer is 13/25what’s the correct answer answer asap for brainlist

**Answer:**

B

**Step-by-step explanation:**

Answer:

Step-by-step explanation:

B: played by solo instrument with orchestral accompaniment.

A local Pet Shelter has 4 orange cats and 7 black cats. What is probability of selecting a black cat? Please enter your answer as a fraction.

**The Solution:**

Given:

We are asked to find the probability of selecting a **black cat.**

By formula,

[tex]Probability=\frac{number\text{ of required outcomes}}{total\text{ possible outcomes}}[/tex]Thus,

[tex]P(B)=\frac{number\text{ of black cats}}{total\text{ number of cats}}=\frac{7}{11}[/tex]Therefore, **the correct answer is 7/11**

Please show steps 1/2 divided by 1/2

(1/2) ÷ (1/2) = 1.

To divide by a fraction is the same as multiplying by the reciprocal, which is (2/1), or just 2.

(1/2) x (2/1) = (2/2) = 1

multiply across and simplify

To divide by a fraction is the same as multiplying by the reciprocal, which is (2/1), or just 2.

(1/2) x (2/1) = (2/2) = 1

multiply across and simplify

The cost of attending an amusement park is $15 for children and $35 for adults. On a particular day, the attendance at the amusement park is 25,000 attendees, and the total money earned by the park is $600,000. Use the given matrix equation to solve for the number of children’s tickets sold. Explain the steps that you took to solve this problem.

The number of** children's tickets sold** is** 13750.**

Let the number of children be x and the number of adults be y.

The total number of attendance at the amusement park is 25,000.

So we have **an equation**

x + y = 25000 ......(i)

The cost for children is $15 and the cost for adults is $35, and the total money earned by the park is $600,000.

So we have **another equation,**

15x + 35y = 600,000

3x + 7y = 120,000 ......(ii)

Multiplying equation (i) with 3 we get

3x + 3y = 75000

3x + 7y = 120,000

Now subtract both the equation we have,

4y = 45000

y = 11250

Now put the value of y in equation (i) we get

x + 11250 = 25000

x = 13750

Where x is the number of children's tickets sold.

Therefore the **number of children's tickets sold is 13750.**

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Simplify 5(48w)3w.
HELP MEEE HELP ME HLSP ME
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If f(x) = -x-11, find -3f(5) x f(2)
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