Write an equation in slope-intercept form for each line described.
passes through (6,2) , parallel to y=-2/3x+1 .

The total distance traveled in 2-hour time is 50 miles. (option g)

Shauna drove 75 miles in 3 hours at a constant speed, so the total distance covered in 3 hours is 75 miles to find the distance covered in 2 hours, we first need to find the distance or miles covered in 1 hour

To find the distance Shauna traveled in 2 hours, use the following formula: –

Speed ​​= distance/time

Total distance traveled = 75 miles

Total time = 3 hours = 3 hours

Speed ​​= 75/3

Speed ​​= 25 miles per hour

Distance traveled in 2-hour time is 50 miles.

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The solution of the given equation 3(2-c)=-(c+4) is c = 5.

According to the given question.

We have an equation

3(2 - c ) = -( c + 4)

Since, we have to solve the above equation for c.

Therefore, the solution of the above equation is gievn by

3(2 - c) = -( c + 4)  

⇒ 3(2) -3(c) = -c -4  (by distributive law)

⇒ 6 -3c = -c - 4  

⇒ 6 + 4 -3c = -c            (adding 4 both the sides)

⇒ 10 -3c = -c

⇒ 10 = -c + 3c    ( adding 3c both the sides)

⇒ 10 = 2c

⇒ 10/2 = c        (multiply both the sides by 2)

⇒ 5 = c or c = 5

Hence, the solution of the given equation 3(2-c)=-(c+4) is c = 5.

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The hypothesis is the phrase following the word if = " three points lie on a line"

The conclusion is the phrase following the word then = "they are collinear."

A specific, verifiable prediction of what the researcher(s) believe the study's results will be is known as a hypothesis (plural: hypothese). It is stated at the outset of the investigation.

Most often, this entails speculating on a potential correlation between two variables: the independent variable (what the researcher modifies) and the dependent variable (what the research measures).

The null hypothesis and the alternative hypothesis (known as the experimental hypothesis when the technique of examination is an experiment) are traditionally written as two separate forms of the hypothesis in research.

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The solution of the inequality expression is -2 ≤ x ≤ 5

The inequality expression is given as

|2x - 3| ≤7

Remove the absolute bracket

So, we have

2x - 3 ≤ 7 and 2x - 3 ≥ -7

Add 3 to both sides of the inequalities

2x ≤ 10 and 2x ≥ -4

Divide to both sides of the inequalities by 2

x ≤ 5 and x ≥ -2

Rewrite as

-2 ≤ x ≤ 5

Hence, the solution of the inequality expression is -2 ≤ x ≤ 5

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The distance between the highest and the lowest points of elevation is 9904 meters.

In order to determine the distance between the highest and the lowest points of elevation, subtract the heights of both places from each other.

Subtraction is a mathematical operation that is used to determine the difference between two or more numbers. The sign used to denote subtraction is -.

Height of mount Everest - height of Turpan Pandi

8850 - (-154)

8850 + 154 = 9004m

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Answer: (3/2, -2)

Step-by-step explanation:

basically average of the x's and y's

6+-3/2 and -2+-2/2

which gives

(3/2, -2)

According to the question, the true statement is the function 'h' is a vertical translation of a function ''f.

What is exponential function?

The exponential function can be defined as the base of two with the integer powers. The base can be represented as common factors as well as common multipliers. The graph representation of the exponential function can be called as "rate of change". It either increases or decreases or constant with respect to another functions.

The transformation of a function can be performed either with translation, reflection, vertical sliding or horizontal sliding. It can be done with the help of the calculated values known as asymptotic. And the end behavior of the function is always consistent.

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Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

Answer:

Step-by-step explanation:g(-3) = 3(-3) = -9

f(g(-3)) = f(-9) = 2(-9) -1 = -18 -1 = -19

According to the question, the given data for the clearance rack is as written below:

Regular price of the clearance rack = $[tex]$ 45.99[/tex]

Sales tax = [tex]7.25[/tex] percent

As per the question, multiply the given marked percentage with the regular price to get the exact value.

Therefore, Marked price(in $) = [tex]45.99X0.35 = 16.10[/tex]

Now, subtract the calculated price from the regular price:(in $)[tex]45.99-16.10 = 29.89[/tex]

Multiply the regular price with the sales tax: [tex]29.89X0.0725 = 2.17[/tex]

Add the tax price with the calculated regular price to know the register price: [tex]29.89+2.17=32.06[/tex]

Therefore, [tex]32.06[/tex] is the amount for the shirt ring up for at the register.

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The sum of the infinite geometric series 0.5+0.05+0.005+ . . .  is S = 0.55556

The given geometric series is:

 0.5 + 0.05 + 0.005 + . . .

The common ratio (r) of a geometric series is given by:

  r = a(n) / a(n - 1)

Notice that in the given series:

a(1) = 0.5

a(2) = 0.05

a(3) = 0.005

Hence, the common ratio is

   r = a(2) / a(1) = 0.05/0.5 = 0.1

Since 0 < r < 1, the series is convergent and the sum exists.

Use the sum formula:

S = a(1) / (1 - r)

Substitute a(1) = 0.5 and r = 0.1 into the formula:

S = 0.5 / (1 - 0.1)

   = 0.5 / (0.9)

   = 0.55556

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Answer:

√34

Step-by-step explanation:

it would be radical 34.

Answer:

5n - 10 = 15.

Step-by-step explanation:

If the number is n then 5 times it is 5n.

10 less than this is 5n - 10.

So, the equation is

5n - 10 = 15.

Based on the construction information, the unit rates will be 62, 65, and 63.

So, Rosk Construction's unit rate is 62. This is due to a=62w.

Fosbert's Construction has a unit rate of 65 because:

Therefore the unit rate is 65

Then,

Durable B Construction will have a unit price of 63.

This is due to:

Therefore, based on the construction information, the unit rates will be 62, 65, and 63.

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The correct question is given below:

Three competing subcontractors are reporting their average work output to a large project leader for a new housing development. Rosk Construction provided an equation, where w represents the number of full weeks of work and a represents the estimated area of vinyl siding that can be installed in 100 ft2 units. Equation from Rosk Construction: a=62w Fosbert’s Contracting provided a table indicating similar data from two jobs that had recently been completed by its crew. Forsbert's contracting Number of Full Weeks, w 2 4 6 Area (square feet), a 130 260 390

Answer:

First term:  0.5

Sum of the first give terms:  30.5

Step-by-step explanation:

General form of a geometric sequence:

 [tex]a_n=ar^{n-1}[/tex]

where:

Given terms:

To find the common ratio r, divide consecutive terms:

[tex]\implies r=\dfrac{a_5}{a_4}=\dfrac{40.5}{-13.5}=-3[/tex]

To find the first term, substitute the found value of r and one of the terms into the general formula:

[tex]\begin{aligned}\implies a_5 =a(-3)^4 & = 40.5\\81a & = 40.5\\a & = \dfrac{40.5}{81}\\a & = 0.5 \end{aligned}[/tex]

Sum of the first n terms of a geometric series:

 [tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

To find the sum of the first 5 terms of the geometric sequence, substitute n = 5 and the found values of a and r into the formula:

[tex]\begin{aligned}\implies S_5 & =\dfrac{0.5(1-(-3)^5)}{1-(-3)}\\\\& =\dfrac{0.5(1+243)}{1+3}\\\\& =\dfrac{0.5(244)}{4}\\\\& =\dfrac{122}{4}\\\\ & = 30.5\end{aligned}[/tex]

Therefore, the sum of the first 5 terms is 30.5.

The number of money farmers made by selling 5732 ducks will be $45856.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Mike sold 5,640 chickens and 5,732 ducks from his farm. He made $79,696. If he sold 5,640 chickens and 5,640 ducks, he would get $78,960.

Form two equations to get the amount:-

5640c + 5732d = 79696

5640c + 5640d = 78960

Solve both the equations by elimination method:-

5640c -5640c + 5732d - 5640d = 79696 - 78960

92d = 736

d = 736 / 92

d = $8

Total amount = $8 x 5732 = $45856

Therefore, the money farmers made by selling 5732 ducks will be $45856.

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The required coordinate of b is given as (-7, 4 ).

Given that,

To determine the coordinate of b  if M is the midpoint of AB. A(1, -4) and M(-3 ,0).

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,

We have given two coordinates one of the endpoints of AB and the other is midpoint M i.e. A(1, -4) and M(-3, 0).

Definition of midpoint says,

x = [x₁ +  x₂] / 2 ; y = [y₁ + y₂] / 2

x₁ = 1, x = -3 , y₁ = -4, y = 0

now,

-3 = [1 + x₂] / 2 ; 0 = [-4 + y₂] / 2

x₂ = -6 - 1 ; y₂ = 0 + 4

x₂ = -7 : y₂ = 4

Thus, the required coordinate of b is given as (-7, 4 ).

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Answer:

I believe 72

Step-by-step explanation:

this is a proportional relationship that can be written as:

P = 5,184*S

Top see this, just take the quotient between the number of pixels and the number of square inches of each screen, and let's see if we get the same value for the given rows.

31,104/6 = 5,184

For the next row we have:

373,248/72 = 5,184

And so on, you will get the same quotient for the 3 rows, then we can conclude that yes, this is a proportional relationship that can be written as:

P = 5,184*S

Where P is the number of pixels and S is the number of square inches.

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The four consecutive integers are 121, 122, 123, 124.

We have the sum of four consecutive integers equals to 490

We have to determine those integers.

An integer is a number with no decimal or fractional part. It includes negative and positive numbers, including zero.

Assume the first integer is x. Then, the other integers will be -

x + 1 , x + 2 , x + 3.

Therefore -

x + (x + 1) + (x + 2) + (x + 3) = 490

4x + 6 = 490

4x = 484

x = 121

So -

x = 121

x + 1 = 122

x + 2 = 123

x + 3 = 124

Hence, the four consecutive integers are 121, 122, 123, 124.

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1.) 64 dollars

2.) 145 dollars

3.) -110 dollars?

4.) -50 solldars

54 + 10 = 64

60+85=145

-180+70=-110

37-87=-50

Answer:

Step-by-step explanation:

Okay so the first question you need to add because the store is giving a refund to Clare of $10. The second question you need to subtract $60 from $85. The third one you need to add again 180+ 70. The final problem you need to subtract 87 from 37 (Just know you will get a negative number) I hope this helps you! :D

The answer is (-3.-8)

When we rotate a point 90° counterclockwise around the origin, it's the same as rotating it 270° clockwise around the origin.

When we rotate something 270° clockwise around the origin, the original coordinates (x, y) becomes (-y, x).

Clockwise Rotations (CW) follow the path of the hands of a clock. These rotations are denoted by negative numbers. Counterclockwise Rotations (CCW) follow the path in the opposite direction of the hands of a clock. These rotations are denoted by positive numbers.

The angle of rotation between the two points or vertices is the number of central angles times the measure of a single central angle: angle of rotation =m×α = m × α .

y is 3, and -(3) is just -3, since multiplying negatives make a negative.

x just remains x, but it's in a different position.

This makes the new coordinate (-3, -8)

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The radius of a table with a circumference of 10 feet is A. 1.6 ft .

A circle's outside boundary is called the circumference and can be measured, or calculated, by using

Circumference = 2πr

where r is the radius of circle.

Now it is given that,

Circumference of table = 10 feet

Since, Circumference = 2πr

⇒ 2πr = 10

⇒ r = 10/2π

⇒ r = 10/6.28

⇒ r = 1.59

⇒ r ≈ 1.6 feet

Thus, the radius of a table with a circumference of 10 feet is A. 1.6 ft

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After solving each system, 5x + y = 0, 5x + 2y = 30, the values of x and y are calculated to be -6 and 30 respectively.

The given equations are considered linear equations as the highest power of the variables in these equations is one.

By rearranging the first equation, the value of y can be found to be,

5x + y = 0

y = -5x

Putting the calculated value of y in the second equation,

5x + 2y = 30

5x + 2(-5x) = 30

5x - 10x = 30

-5x = 30

x = 30 / -5

x = -6

To solve for y, put x = -6  in the first equation as follows,

5x + y = 0

5(-6) + y = 0

-30 + y = 0

y = 30

Hence, the values of x and y in these systems are calculated to be -6 and 30 respectively.

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If you consider the relationship between two quantities, an input/output machine can be used to represent this relationship. You have a function if there is only one output for each input. You have a relation if not.

Can a relationship exist that isn't a function?

What is relation in math?

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The cost to get 3 small greeting cards and 2 large greeting cards is $15.75 and the it cost to get xx small greeting cards and yy large greeting cards is equals to $1.65(xx) + $5.40(yy)

To find out the cost of three small greeting card we need to multiply the cost of one small greeting card with 3 which equals to $4.95

To find out the cost of two large greeting card we need to multiply the cost of large greeting card with two which equals to $10.80

To find out the cost to get 3 small greeting cards and 2 large greeting cards we need to add $4.95 and $10.80 which equals to $15.75

As explained above to find the cost to get xx small greeting cards and yy large greeting cards we need to multiply with their respective unit price which equals to $1.65(xx) + $5.40(yy)

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