The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line

The solution to the system of equations by substitution is [tex]\( x = -\frac{11}{6} \)[/tex] and [tex]\( y = \frac{7}{6} \)[/tex].

To solve the system of equations by substitution, we can solve one equation for one variable and then substitute that expression into the other equation.

Given the system of equations:

1) [tex]\( -2x + 2y = 6 \)[/tex]

2) [tex]\( 4x + 2y = -5 \)[/tex]

From equation (1), we can solve for [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex]:

[tex]\[ -2x + 2y = 6 \][/tex]

[tex]\[ 2y = 2x + 6 \][/tex]

[tex]\[ y = x + 3 \][/tex] ... (i)

Now, substitute [tex]\( y \)[/tex] from equation (i) into equation (2):

[tex]\[ 4x + 2(x + 3) = -5 \][/tex]

Expand and solve for [tex]\( x \)[/tex]:

[tex]\[ 4x + 2x + 6 = -5 \][/tex]

[tex]\[ 6x + 6 = -5 \][/tex]

[tex]\[ 6x = -11 \][/tex]

[tex]\[ x = -\frac{11}{6} \][/tex]

Now, substitute [tex]\( x = -\frac{11}{6} \)[/tex] into equation (i) to find [tex]\( y \)[/tex]:

[tex]\[ y = -\frac{11}{6} + 3 \][/tex]

[tex]\[ y = -\frac{11}{6} + \frac{18}{6} \][/tex]

[tex]\[ y = \frac{7}{6} \][/tex]

So, the solution to the system of equations is:

[tex]\[ x = -\frac{11}{6} \][/tex]

[tex]\[ y = \frac{7}{6} \][/tex]

The expression re-written: 3(2) - 4(3)

First, we multiply (PEMDAS)

3 * 2 = 6

4 * 3 = 12

6 - 12 = -6

Answer: - 6

The value of the expression at x = -2 and y = 3 will be negative 18.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 3x - 4y

The value of the expression at x = -2 and y = 3 will be

⇒ 3(-2) - 4(3)

⇒ - 6 - 12

⇒ - 18

The value of the expression at x = -2 and y = 3 will be negative 18.

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Answer:

The answer would be:

−35831808

Hope this helps.

Answer:

Step-by-step explanation:

(-2)^7 = - 2^7

6^7 = (2×3)^7= 2^7× 3^7

6^7(-2)^7 = (2^7× 3^7 )( - 2^7) = - (2^7×2^7)(3^7 )

6^7(-2)^7 = - 2^14 ×3^7

Im super sorry my hand slipped dont quit

Answer:

The length of the rectangular flower garden is 72 feet and the width is 48 feet

Step-by-step explanation:

Let

L ----> the length of the rectangular flower garden in feet

W ---> the width of the rectangular flower garden in feet

we know that

The perimeter of the rectangular flower garden is

[tex]P=2(L+W)[/tex]

we have that

[tex]P=240\ ft[/tex]

so

[tex]240=2(L+W)[/tex]

Simplify

[tex]120=(L+W)[/tex] -----> equation A

[tex]W=\frac{2}{3}L[/tex] ----> equation B

Substitute equation B in equation A and solve for L

[tex]120=(L+\frac{2}{3}L)[/tex]

[tex]120=\frac{5}{3}L[/tex]

[tex]L=120(3)/5[/tex]

[tex]L=72\ ft[/tex]

Find the value of W

[tex]W=\frac{2}{3}(72)[/tex]

[tex]W=48\ ft[/tex]

therefore

The length of the rectangular flower garden is 72 feet and the width is 48 feet

Answer:

Save $50 from his paycheck a week

Step-by-step explanation:

there's no following so I'll just write it

answer: steals money

sells everything to get money

Lies about being poor

scams people

demands people give him/her money

Answer:

Smith

Step-by-step explanation:

Woodson has fewer than Smith

Smith>Woodson

Woodson has more than Rodriquez

Smith>Woodson>Rodriguez

Blackburn has fewer then Rodriguez

Smith>Woodson>Rodriguez>Blackburn

Answer:

you have to replace y with 6 to prove that x = 6

4(x + 6) = 48

4x + 24 = 48

4x = 24

x=6

To solve, simply know that 1/5 of 20 is 4. How did you get that? You do 1/5x20. Which is 20/5. The answer is 4. Now multiply 4 by 4. 16. Now the left over 1/5 is 4. So, 4 is how many girls there are. (Make sure to label)

Answer:

Inductive

Step-by-step explanation:

Answer:

The answer is inductive reasoning.

Step-by-step explanation:

A form of reasoning called Inductive reasoning is the process of forming general ideas and  rules based on your experiences and observations.​

Inductive reasoning takes in account, multiple premises that are believed to be true and combine all these to deduce a specific conclusion.

This is used in usually prediction and forecasting applications.

Answer:

7.5

Step-by-step explanation:

5 times 8 equals 40

300 divide 40 equals 7.5

to check the answer i use 5 times 8 times 7.5

and the answer is 300.

so my answer is correct

Step-by-step explanation:

An expression with a single term a monomial, an expression with two terms is a binomial.

a. 3y - monomial

b. (-9) + h = -9 + h = h - 9 - binomial

c. wr + 5wr = 1wr + 5wr = (1 + 5)wr = 6wr - monomial

d. -7agh - monomial

e. 2 - monomial

f. k + 12 - binomial

Answer:

a. monomial

b. binomial

c. binomial

d. monomial

e. monomial

f.  binomial

Step-by-step explanation:

straight from Penn

The conversion of 1.888... as a mixed number in the simplest form is [tex]\dfrac{17}{9}[/tex].

The number that repeats itself periodically after decimals is called Repeating numbers.

They are also called recurring numbers or non-repeating numbers.

They may be in a particular pattern or a single number may repeat.

Example :  2.1414141414…….

Assign a variable, x, to the repeating decimal:

x = 1.888........       (1)

Multiply both side by 10 to shift the decimal point:

10x = 18.888...      (2)

Subtract equation 2nd from equation 1st,

10x - x = 18.888... - 1.888...

9x = 17

Divide both sides of the equation by 9, to get the value of x:

[tex]x = \dfrac{17}{9}[/tex]

The simplest form of 1.888... is [tex]\dfrac{17}{9}[/tex].

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Final answer:

To find the combined distance of both trails, add the lengths of the two trails together. One trail is 6.45 miles long and the other is 2.08 miles longer.

Explanation:

To find the combined distance of both trails, we need to add the lengths of the two trails together. We know that one trail is 6.45 miles long, and the other trail is 2.08 miles longer than the first trail. So, the length of the second trail is 6.45 + 2.08 = 8.53 miles. To find the combined distance, we add the lengths of both trails: 6.45 + 8.53 = 14.98 miles.

Answer:

The new function will have a steeper slope

Step-by-step explanation:

Let

x ----> the number of audio books purchased

y ---->the cost of belonging to the club in dollars

we know that

case 1 (Originally)

[tex]y=15x+20[/tex] ----> equation A

case 2 ( the cost per audio book goes up by $1.00)

The new equation is

[tex]y=(15+1)x+20[/tex]

[tex]y=16x+20[/tex]  

The slope of the new function is greater than the slope of the original function    

[tex]16\frac{\$}{audio\ book}>15\frac{\$}{audio\ book}[/tex]

The new function will have a steeper slope

The graph in the attached figure

If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph.

The graph represents the cost of belonging to an audio books club as a function of the number of audio books purchased. The x-axis represents the number of audio books and the y-axis represents the total cost. The initial joining fee of $20.00 is a fixed cost and stays the same regardless of the number of audio books purchased. The cost per audio book is $15.00. If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph. This means the new function will be a parallel line to the original function, but shifted up by $1.00.

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Answer:

6 meters by 9 meters

Step-by-step explanation:

Step 1: Formula for perimeter of rectangle

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

Step 2: Find the length and width in terms of x

Width = x

Length = 1.5 times width

Length = 1.5x

Step 3: Find x

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

Step 4: Find the length and width

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

Answer:The dimensions of the room are...

w = 3m

l = 4.5m

Step-by-step explanation:

Write l in terms of w. 1.5w

Write an equation for the perimeter P in terms of w. 5w

It is a rational number because it is a terminated decimal and can be expressed as a fraction.

Answer:

It is a rational number.

Answer:

The answer is 10 units

Hello.

The answer is 10 units.

You can find this out by subtracting the two. You cannot subtract a negative, so it goes like this.

9 - (-1)   =>   9 + 1

10 units is your answer.

Hope this was helpful, and have a good day!

Hey!

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Find Common Denominators:

2/5 = 4/10

Put mixed number to improper fraction:

-1 3/10 = -13/10

Add:

-13/10 + 4/10 = -9/10

Answer:

-9/10

Number Line:

In picture!

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

Hope This Helped! Good Luck!

Answer:

(14, 15 )

Step-by-step explanation:

(3, 4 ) → (9, 12 ) is represented by the rule

(x, y ) → (x + 6, y + 8 ), thus

(8, 7 ) → (8 + 6, 7 + 8 ) → (14, 15 )

Answer:

Step-by-step explanation:

Answer:

-7 can't have an absolute value if thats not what you meant then im sorry :(

Step-by-step explanation:

Answer:

The absolute value of -7 would be 7. Absolute value is unsigned which means that you remove the signs, even when a number is negative the absolute value is positive. I hope this helped :)

Step-by-step explanation:

Answer: negative fifty

Answer: are you sure these are correct?

Step-by-step explanation:

You would calculate the speed be doing 5000 m / 17 min, which would be 294.117647059 m/min

17 minutes is extremely fast, but this is correct.

Final answer:

After receiving a 5% and then a 2% raise, Doug's annual salary becomes $16,065.

Explanation:

Let's calculate Doug's annual salary after receiving both raises. Initially, Doug's monthly salary was $1250. After a 5% raise, his new monthly salary becomes $1250 × 1.05 = $1312.50.

Six months later, he receives another 2% raise, which makes his monthly salary $1312.50 × 1.02 = $1338.75.

To find his annual salary after both raises, we simply multiply his final monthly salary by 12 (the number of months in a year).

Initial monthly salary = $1250

First 5% raise = $1250 + 0.05 × $1250

Second 2% raise = (first raise + 0.02 × first raise)

Multiply the final salary by 12 to get the annual salary

$1338.75 × 12 = $16,065.

Therefore, Doug's annual salary, after receiving both a 5% and 2% raise, is $16,065.

2x+6=x+14

move x to the other side

sign changes from +x to -x

2x-x+6= x-x+14

2x-x+6= 14

x+6=14

move +6 to the other side

sign changes from +6 to -6

x+6-6=14-6

Answer: x= 8

Answer:

Fair treatment through the judicial system; what citizens are entitled to in the court system.

Step-by-step explanation:

Answer:

(12/5)√5

Step-by-step explanation:

y = 2x - 2

x² + y² = 8

x² + (2x - 2)² = 8

x² + 4x² - 8x + 4 = 8

5x² - 8x - 4 = 0

(5x + 2)(x - 2) = 0

x = -2/5

x = 2

y = 4 - 2

y = 2

(2,2)

y = 2(-2/5) - 2

y = -4/5 - 2

y = -14/5

(-2/5,-14/5)

√((2 + 2/5)² + (2 + 14/5)²)

√((12/5)²+ (24/5)²)

√(144/25 + 576/25)

(1/5)√(144+576)

(1/5)√720

(1/5)√(16*45)

(4/5)√45

(12/5)√5

Answer:

7/20=0.35

-23/20=1.15

1/18=0.5 (5 repeating)

-60/22=-2.72 (72 repeating)

The decimal equivalent of each rational number is given below:-

7/20=0.35

-23/20=1.15

1/18=0.5 (5 repeatings)

-60/22=-2.72

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe how numbers are represented in the decimal system.

The decimal numbers will be calculated as below:-

(1) 7/20

Divide 7 by 20 to get the decimal form.

7/ 20 = 0.35

(2) -23/20

Divide -23 by 20 to get the decimal form.

-23/20 = 1.15

(3) 1/18

Divide 1 by 18 to get the decimal form.

1/18 = 0.5555555................

(3) -60/22

Divide -60 by 22 to get the decimal form.

-60/22 = 2.727272.......

Therefore, all the values in the decimal form are calculated above.

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