Melissa rented a Segway, a stand up scooter, in downtown Austin, Tx. The store charges a $3.25 initial charge plus $2.50 per mile. Which equation can be used to find y, the total cost of the rental, if x represents the number of miles Melissa rode on the Segway?
pls it has to be like "y=mx+b"

The value of the inequality expression given as –3(2x – 5) < 5(2 – x) are x < 5 and number line (4)

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The inequality expression is given as

–3(2x – 5) < 5(2 – x)

Open the brackets

So, we have

-6x + 15 > 10 - 5x

Collect the like terms

So, we have

5x -6x > 10- 15

Evaluate the like terms

So, we have

-x > -5

This gives

x < 5

When represented on a number line, it can be represented as the number line in option (4)

Hence, the equivalents of the inequality are x < 5 and number line (4)

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Answer:

x = -11

Step-by-step explanation:

           JL + LM = JK + KM

x + 2 + 2x + 27 = 9 + 7

x + 2x + 22 + 27 = 9 + 7

Combine like terms,

             3x + 49 = 16

Subtract 49 from both sides,

                      3x = 16 - 49

                     3x  = -33

Divide both sides by 3,

                      x = -33/3

                     x = -11

Answer:

Linear Function

Step-by-step explanation:

A linear function has constant slope

That means the ratio of y differences to x differences must be the same throughout the function. In other words the rate of change of the function y value is the same throughout the function

IF we look at the table we see that as x increases by 1, y decreases by 15

For example at x = 0, y = 20 and at x = 1, y = 5

So change in y/change in x = 0  = (5-20)/(1-0) = -15/1 = -15

If we look at another pair of points, say x = 1, y=5 and x = 2, y = -10

we get the rate of change = (-10 - 5)/(2-1) = -15/1 = -15

This is the same for any two x, y pair of values

So it is a linear function

Answer: The answer is C. You start off by first thinking about your slope equation, being y=Mx+b. Remember b equals your y- intercept. In this case one of your y-intercepts is positive 1 and the other is positive 2. Now you have the “b” part of the equation. Looking for slope or your “mx” part of the equation is next. All this is going to be is the rise over the run from your y intercept. How much did you rise and how much did you run to get to the next point. Both of these slopes are going up therefore both slopes will be positives. For the first one it rises 2 and runs 1 to get to the next point, however you do not need to write the one at the bottom of the 2 and can leave it as “2x+1”, because it is shaded below the red line the inequality will be less than or equal to

. The blue slope rises 1 and runs 2, it is written as

and because it is shaded above the blue one it will be greater than or equal to

.

Step-by-step explanation:

Considering the linear functions on the graph, the inequality that matches the situation is:

B. y ≥ x/2 + 2

   y ≤ 2x + 1

A linear function is modeled by:

y = mx + b, In which: m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

here, we have,

The lower bound of the interval is a linear function with

y-intercept of b = 2,

that also passes through (2,3), hence the slope is:

m = (3 - 2)/(2 - 0)

   = 1/2.

Hence the inequality is:

y ≥ x/2 + 2

The upper bound of the interval is a linear function with y-intercept of b = 1, that also passes through (2,5), hence the slope is:

m = (5 - 1)/(2 - 0) = 2.

Hence the inequality is:

y ≤ 2x + 1

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The rule to describe the transformation, dilation by a scale factor of 4 with center of dilation at the  origin is (x,y)→(4x,4y) and the coordinates of rectangle Q'R'S'T' is are Q'(-32,20) , R'(-32,28) , S'(-20,28) , T'(-20,20) .

In the question ,

a rectangle QRST with coordinates Q(-8,5), R(-8,7), S(-5,7), and T(-5,5) is given ,

and to dilate the rectangle by a scale factor of 4 with center of dilation at the origin , we multiply coordinates of the original shape with the dilation factor

so the rule to describe the dilation will be

(x,y)→(4x,4y)

Using this rule to find the new coordinates of the rectangle Q'R'S'T' .

When Q = (-8,5)

Q' = (4*(-8),4*5)

Q' = (-32,20)

When R = (-8,7)

R' = (4*(-8),4*7)

R' = (-32,28)

When S = (-5,7)

S' = (4*(-5),4*7)

S' = (-20,28)

When T= (-5,5)

T'  = (4*(-5),4*5)

T' = (-20,20)

So the coordinates of the rectangle Q'R'S'T' is Q' = (-32,20) , R' = (-32,28) , S' = (-20,28) , T' = (-20,20) .

Therefore , the rule to describe the transformation, dilation by a sale factor of 4 with center of dilation at the origin is (x,y)→(4x,4y) and the coordinates of rectangle Q'R'S'T' are Q'(-32,20) , R'(-32,28) , S'(-20,28) , T'(-20,20) .

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The expected number of points as a function of a and b is C = b+a.

In this questions what we are been asked is for the expected value C, to solve the problem we need to recognize the random variables and their respective probability.

x1 = roll a 1 -> P1 = 1/6

x2 = roll a 2 -> P2 = 1/6

x3 = roll a 6 -> P3 = 1/6

x4 = roll a 1, 4 or 5 -> P4 = 1/2

E = P1*x1 + P2*x2 + P3*x2 + P4*x4

x1 is equal to zero (no points and the game stop), x2 is equal to C+b (win a points, affecting the expected value), x3 is equal to C-a (win b points, affecting the expected value) and x4 is equal B (no points are lost and the game continues, therefore the expected value is not affected)

C = 1/6*0 + 1/6*(C+b) + 1/6*(C-a) + 1/2*(C)

1/6*C = 1/6*b + 1/6a

Solving for C

C = b+a

Conclusion: If you get a "2, 4 or 5, this means the game will be unaffected (in terms of points), you need to pay special attention to x1 and x2 (all with the same probability)  that are the results that are going to affect your game.  

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Step-by-step explanation:

850÷100=17/2=8.5

8.5×24=204

850-204=646

646÷100=6.46

6.46×13=83.98 1st

646-83.98=562.02

562.02÷100=5.6202 2nd

5.6202×13=73.0626

562.02-73.0626=488.9574

488.9574÷100=4.889574 3rd

4.889574×13=63.564462

4.889574×13=63.564462

488.9574-63.564462=425.392938

425.392938÷100=4.25392938 4th

4.25392938×13=55.30108194

425.392938-55.30108194=370.0918561

370.0918561÷100=3.700918561 5th

3.700918561×13=48.11194129

370.0918561-48.11194129=321.9799148

321.9799148÷100=3.219799148 6th

3.219799148×13=41.85738893

321.9799148-41.85738893=280.1225259

280.1225259÷100=2.801225259 7th

2.801225259×13=36.41592836

280.1225259-36.41592836=243.7065975

I spent waaaaay to much time typing this

answer out I swear if it is incorrect I am done

£243.71

Probability when a student is selected at random to be the captain. Probability the captain has a blue shirt is unlikely. Probability the captain has a red shirt is impossible. Probability the captain has a blue or white shirt is likely certain.

The total number of students is 15.

4 students are wearing blue shirt.

11 students are wearing white shirt.

10 students are wearing yellow shirt.

Only any one student can be captain.

The total outcomes are 25.

Probability that the student has blue shirt B is,

Total favorable outcomes = 4

P(B) = 1/25.

Probability that the student has red shirt R is,

Total favorable outcomes = 0

P(B) = 0/25.

P(B) = 0

Probability that the student has blue or white shirt B and W is,

Total favorable outcomes = 15

P(B&W) = 15/25.

P(B&W) = 3/5.

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Answer: 40

Step-by-step explanation:

There are 9 cogs on the outside, and the circumference of a circle is 360 degrees. Dividing 360 by 9 yields 40 degrees.

Answer:

5:2

5x-30 = 2x+30

3x = 60

x = 20

total cars:

5(20)+2(20)

=100+40

=140cars

Answer:

x = 300°

Step-by-step explanation:

If m and n are parallel, then m∠4x is equal to 120, since they are congruent angles.

Solve for x:

4x = 1200

Divide both sides by four

x = 300

Answer:

x = -5/6

Step-by-step explanation:

First, set the equation (6x + 5) * 86 equal to 0. The equation is now (6x + 5) * 86 = 0. Next, simplify (6x + 5) * 86 by multplying 86 to 6x and 5. This will turn the equation into 516x + 430 = 0. Next, subtract 430 from both sides, cancelling out the 430 on the left side. After that, get the x value by itself by dividing 516 on both sides, cancelling out the 516 on the left side. Now, x = -430/516. From here, find the common factor of both the numerator and denominator; this turns out to be 86. Since 86 is the common factor, divide the numerator and denominator by 86 and you get x = -5/6.

1800 lawns were mowed. 800 driveways were shoveled.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2. In the above example, the variable x exists. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given Data

Let mowed grass be x

Let shoveled snow be y

Last year you mowed grass and shoveled snow for 12 houses

x + y = 12

y = 12 -x

You earned $225 for each lawn you mowed and $200 for each house you shoveled for a total of $2600.

225x + 200y = 2600

Equating value of y

225x + 200(12-x) = 2600

225x + 2400 - 200x = 2600

225x - 200x = 2600 - 2400

25x = 200

x = 8

For value of y,

y= 12 -x

y = 12 - 8

y = 4

Lawn mowed = 225(8)

Lawn mowed = 1800

Shoveled snow = 200(4)

Shoveled snow = 800

1800 lawns were mowed. 800 driveways were shoveled.

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Answer: True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

y = -3(x + 2)^2 + 10.

Step-by-step explanation:

y = –3x2 – 12x – 2

Divide first 2 terms by -3:

y = -3(x^2 + 4x) - 2            Now complete the square on x^2 + 4x:-

y = -3(x^2 + 4x + 4 - 4) - 2

y = -3[(x + 2)^2 - 4] - 2

y = -3(x + 2)^2 + 12 - 2

y = -3(x + 2)^2 + 10.

Answer:

the relation in the table is a function

the relation in the set of points is not a function

Step-by-step explanation:

the definition of a function is that one input (x) can only have one output (y). In the set of points, the input 4 appears twice, which means it is not a function.

The proportional relationship can be represented by using an equation y = kx

Proportional relationship defined as the relationships between two variables where their ratios are equivalent. We can say that , in a proportional relationship, one variable is always a constant value times the other. That constant is called as the "constant of proportionality"

Consider y and x are in direct proportional relationship

y ∝ x

We can write this proportional relationship as

y = kx

Where y and x are the two variables

K is the constant of proportionality

In this equation we can see that the variable y is a constant value times the other variable x

Hence, the proportional relationship can be represented by using an equation y = kx

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The student that is correct with regards to the prime factorization of 956 is student B.

A factor is a number that divides another number without leaving any remainder. For example, 10 is a factor of 100. A prime number is a number that is perfectly divisible by 1 and that number only.

For example, a prime number is 7. A prime factor is the factor of a number that is a prime number. For example, a prime factor of 28 is 2.

In order to determine the prime factorization of a number, express the number as its prime factors.

Prime factors of 92 = 2 x 2 x 2 x 2 x 2 x 3

Thus, it is only student B that is correct. 5 is not a factor of 96.

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Answer:

[tex]m_1=\frac{Fd^2}{Gm_2}[/tex]

Step-by-step explanation:

[tex]F=G \left(\frac{m_1 m_2}{d^2} \right) \\ \\ \frac{F}{G}=\frac{m_1 m_2}{d^2} \\ \\ \frac{Fd^2}{G}=m_1 m_2 \\ \\ m_1=\frac{Fd^2}{Gm_2}[/tex]

6.85 miles is how deep it is. Under water, sound may travel 4700 feet in a second. The Time takes to travel the sound is 7.69.

Given that,

The deepest area in the ocean is the Marianas Trench in the Pacific Ocean. 6.85 miles is how deep it is. Under water, sound may travel 4700 feet in a second.

We have to calculate the time it takes for sound to travel from the ocean's surface to the Marianas Trench's depths and back, to the nearest tenth of a second.

We know the Distance formula is

Distance =rate×times

Time=Distance/rate

We convert 4700 feet to miles

We get,

4700 feet =0.89 miles

Now,

Time=6.85/0.89

Time=7.69

Therefore, the Time takes to travel the sound is 7.69.

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The directed number suggested by the following will be:

A 14 degrees below zero = -14°

B altitude 200 metres = +200

It should be noted that the directed number simply means the numbers that had both size and direction. It should be noted that the direction can either be positive or negative.

A measurement of altitude or height is the distance between a location or item and a reference datum, typically in the vertical or "up" direction. Although the term "altitude" is frequently used to refer to a location's height above sea level, the term "elevation" is frequently preferred in the context of geography. The term "depth" often refers to vertical distance measurements taken in the "down" direction. Globally, the research team discovered that the pace of temperature change frequently quickens as altitude increases.

Therefore, the directed number suggested by 14 degrees below zero will be negative 14 and this will be -14°

Also, altitude 200 metres will be positive 200 and this will be +200

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Answer:

19.5/3=6.5 centimeters

Step-by-step explanation:

Answer:

use v for the value

Step-by-step explanation:

Answer: la respuesta es 5.25

Step-by-step explanation: 0.75 x 7 = 5.25

d. Using the Standard Form, identify the x - intercept of the graph and explain

how the x-intercept relates to the number of hot dogs and sodas sol

Maybe sorry if i got it wrong

Answer: the slope is 1

Step-by-step explanation:

The expression equivalent to (3x²z⁻³)² is 9x⁴z⁻⁶.

For the given question;

The expression is given as;

= (3x²z⁻³)²

Squaring each term individually.

= (3)²(x²)²(z⁻³)²

As the property of the index, the power will be multiplied.

= 9x⁴z⁻⁶.

Thus, the expression equivalent obtained for the given expression (3x²z⁻³)² is 9x⁴z⁻⁶.

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The equation of the linear graph is expressed in slope intercept form as; y = 20x

The equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept (which is the point where the line crosses the y-axis)

From the graph given we can see that the line crosses the y-axis at 0. Thus; c = 0

Now, we can pick two coordinates to find the slope;

Slope = (y2 - y1)/(x2 - x1)

Slope = (40 - 20)/(2 - 1)

Slope = 20

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