Write the correct equation that passes through the points (0, 3) and (2, -5)

Answer:

The circumference of a tire can be found by using the formula C = πd, where C is the circumference, and d is the diameter.

For the old bicycle with 12 inch diameter tires, the circumference is:

C = π * 12 = 12 * π inches

For the new bicycle with 16 inch diameter tires, the circumference is:

C = π * 16 = 16 * π inches

To find the difference in the circumference of the tires, we subtract the circumference of the old tire from the circumference of the new tire:

16π - 12π = 4π inches

So the difference in the circumference of the two tires is 4π inches.

It's around 12.56 inches.

Based on the constant first differences and the zero second differences, we can conclude that the given relation is linear.

To determine if the given relation is linear or quadratic, we can examine the finite differences of the y-values.

First differences:

The first differences are calculated by subtracting each consecutive y-value:

6 - 8 = -2

4 - 6 = -2

2 - 4 = -2

0 - 2 = -2

-2 - 0 = -2

-4 - (-2) = -2

Since the first differences are constant (-2), it suggests that the relation could be linear.

Second differences:

The second differences are calculated by taking the difference between consecutive first differences:

-2 - (-2) = 0

-2 - (-2) = 0

-2 - (-2) = 0

-2 - (-2) = 0

The second differences are all zero, indicating that the relation is not quadratic.

In a quadratic relation, the second differences would be constant.

Hence, based on the constant first differences and the zero second differences, we can conclude that the given relation is linear.

To learn more on Linear Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

\(0 \leq P( P_B) \leq 1\)

\(P(P_B) = 0.17\)

Step-by-step explanation:

From the given question:

The probabilities are assigned using the Subjective method.

Let the probability that his roommate will choose rock be  \(P(R_B) = 0.28\)

Let the probability that his roommate will choose scissors be \(P(S_B) = 0.55\)

∴

\(P(R_B) + P(S_B) +P(P_B) = 1\)

\(0.28+ 0.55 + P(P_B) =1\)

\(0.83 + P(P_B) = 1\)

\(P(P_B) = 1 - 0.83\)

\(P(P_B) = 1 -0.83\)

\(P(P_B) = 0.17\)

So;

\(0 \leq P( P_B) \leq 1\)

\(P(P_B) = 0.17\)

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

for more such question on fraction visit

https://brainly.com/question/30122573

#SPJ8

Consider a homogeneous machine of four linear equations in five unknowns are all multiples of 1 non-0 solution. Objective is to give an explanation for the gadget have an answer for each viable preference of constants on the proper facets of the equations.

Yes, it's miles true.

Consider the machine as Ax = 0. in which A is 4x5 matrix.

From given dim Nul A=1. Since, the rank theorem states that

The dimensions of the column space and the row space of a mxn matrix A are equal. This not unusual size, the rank of matrix A, additionally equals the number of pivot positions in A and satisfies the equation

rank A+ dim NulA = n

dim NulA =n- rank A

Rank A = 5 - dim Nul A

Rank A = 4

Thus, the measurement of dim Col A = rank A = five

And since Col A is a subspace of R^4, Col A = R^4.

So, every vector b in R^4 also in Col A, and Ax = b, has an answer for all b. Hence, the structures have an answer for every viable preference of constants on the right aspects of the equations.

Answer:

The acceleration is 1.8 m/s^2.

Step-by-step explanation:

initial velocity, u = 30 mph = 13.4 m/s

Final velocity, v = 50 mph = 22.4 m/s

time, t = 5 s

Let the acceleration is a.

Use first equation of motion

v = u + at

22.4 = 13.4 + 5 a

a = 1.8 m/s^2

After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
To learn more about perimeter
https://brainly.com/question/19819849
#SPJ1
The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

9514 1404 393

Answer:

  3.75 hours

Step-by-step explanation:

Travel time can be found using the relation ...

  time = distance/speed

  time = (2475 mi)/(660 mi/h) = 3.75 h

It will take 3 3/4 hours to travel that distance.

Answer:

The question is not complete

Answer:

hope it's helpful ❤❤❤

THANK YOU

Step-by-step explanation:

hey

how are you cutie girl

find you later

A mean is an arithmetic average of a set of observations. The correct option is B.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The average pay does not differ significantly since the average wage for subpopulations is not significant. As a result,  the subpopulations of mechanical and civil engineers are Not earning different salaries.

Hence, the correct option is B.

Learn more about Mean:

https://brainly.com/question/16967035

#SPJ1

Answer:

20 cm^2

Step-by-step explanation:

A = 1/2 * d1 * d2 = 1/2 * 8 * 5 = 1/2 * 40 = 20cm^2

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)

Answer: it is 0.64285714285

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

Learn more about ratio here:

https://brainly.com/question/2328454

#SPJ1

The total tax that the business paid on its purchases only was 769720.25.

In order to pay for general public institutions, goods, and activities, local, state, and federal governments must collect mandated payments or charges from citizens and corporations.

We must first figure out the complete cost of the goods in order to determine the total taxable income the corporation paid

The cost of the 16,000 network routers is:

16,000 units x $79.25/unit = $1,268,000

The cost of the 12,000 wireless LAN adapters is:

12,000 units x $129.95/unit = $1,559,400

The cost of the 13,500 computer boards is:

13,500 units x $229.15/unit = $3,092,025

The total cost of all purchases is:

$1,268,000 + $1,559,400 + $3,092,025 = $5,919,425

To calculate the total tax amount, we need to multiply the total cost by the tax rate. Assuming a tax rate of 13%, the total tax amount is:

$5,919,425 x 0.13 = $768,527.25

Therefore, the total tax amount that the company paid on their purchases only is $768,527.25, rounded off to 2 decimal places.

To know more about decimal visits:

https://brainly.com/question/29270398

#SPJ1

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

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

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

For more question Graph

https://brainly.com/question/26858589

#SPJ8

The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

Learn more about quadratic function  at

https://brainly.com/question/1214333

#SPJ1

Answer:

1.5

π/2

Step-by-step explanation:

√2 ≈ 1.41

√3 ≈ 1.73

1.5 is a rational number (15/10) that is in between.

π/2 ≈ 1.57 is an irrational number that is in between.

Answer:

$19,260

Step-by-step explanation:

1 year = 12 months

5 × 12 = 60

5 years = 60 months

$321 × 60 = $19,260

a. The radius of circle is 4 units.

b. The diameter of the circle is 2 x 4 = 8 units.

c. The area of the circle to be around 31 to 32 square units.

A circle is a geometrical shape consisting of all points that are at an equal distance from a central point.

The distance from the center to any point on the circle is called the radius of the circle.

a. To find the radius of the circle, we need to measure the distance from the center point N to any point on the circumference of the circle.

Using the grid, we can count the number of squares from N to the edge of the circle.

In this case, we can count 4 squares horizontally and 4 squares vertically.

b. The diameter of the circle is twice the radius. Therefore, the diameter of the circle is 2 x 4 = 8 units.

c. To estimate the area of circle using the grid, we can count the number of complete squares that are either fully inside the circle or partially covered by the circle.

In this case, we can count 31 complete squares. We can also see that there are some squares that are partially covered by the circle, so we can estimate that the total area of the circle is slightly more than 31 square units. Therefore, we can estimate the area of the circle to be around 31 to 32 square units.

To know more about area of circle visit:

https://brainly.com/question/266951

#SPJ1

Step-by-step explanation:

i think its

b=x

a

hope it help u...

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Answer:

6

Step-by-step explanation:

I just subtracted 16 from 22

Answer:

38

Step-by-step explanation:

the "more" stands for addition therefore to get the answer you need to add 22 and 16 to get 38

Henry's chances of getting a second turn when he rolls the number cubes are 1/9 or approximately 11/18.

To find Henry's chances of getting a second turn when he rolls the number cubes, we need to find the probability of rolling an even number less than 10.

First, let's find the total number of possible outcomes when rolling two number cubes. Each cube has 6 possible outcomes (1, 2, 3, 4, 5, or 6), so the total number of possible outcomes is 6 x 6 = 36.

Next, let's find the number of outcomes that meet the criteria for a second turn (even number less than 10). We can list out all the possible outcomes that meet these criteria:

2 (1+1)

4 (1+3 or 2+2)

6 (1+5 or 2+4 or 3+3)

8 (2+6 or 3+5 or 4+4)

So, there are 4 outcomes that meet the criteria for a second turn.

To find the probability, we divide the number of favourable outcomes (4) by the total number of possible outcomes (36).

4/36 = 1/9

So Henry's chances of getting a second turn when he rolls the number of cubes are 1/9 or approximately 11/18.

To learn more about probability,

https://brainly.com/question/2449830

Answer:

36

Step-by-step explanation:

60/40 = 3/2

so you need z to be 3/2 *24 for it to be saved. 1.5*24= 36

Answer:

X=15

Step-by-step explanation:

                    4*x/3+3-(23)=0

Step by step solution :

STEP

1

:

           x

Simplify   —

           3

Equation at the end of step

1

:

       x          

 ((4 • —) +  3) -  23  = 0

       3          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        3     3 • 3

   3 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x + 3 • 3     4x + 9

——————————  =  ——————

    3            3  

Equation at the end of step

2

:

 (4x + 9)    

 ———————— -  23  = 0

    3        

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         23     23 • 3

   23 =  ——  =  ——————

         1        3  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(4x+9) - (23 • 3)     4x - 60

—————————————————  =  ———————

        3                3  

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  4x - 60  =   4 • (x - 15)

Equation at the end of step

4

:

 4 • (x - 15)

 ————————————  = 0

      3      

                    4*x/3+3-(23)=0

Step by step solution :

STEP

1

:

           x

Simplify   —

           3

Equation at the end of step

1

:

       x          

 ((4 • —) +  3) -  23  = 0

       3          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        3     3 • 3

   3 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x + 3 • 3     4x + 9

——————————  =  ——————

    3            3  

Equation at the end of step

2

:

 (4x + 9)    

 ———————— -  23  = 0

    3        

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         23     23 • 3

   23 =  ——  =  ——————

         1        3  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(4x+9) - (23 • 3)     4x - 60

—————————————————  =  ———————

        3                3  

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  4x - 60  =   4 • (x - 15)

Equation at the end of step

4

:

 4 • (x - 15)

 ————————————  = 0

      3      

                    4*x/3+3-(23)=0

Step by step solution :

STEP

1

:

           x

Simplify   —

           3

Equation at the end of step

1

:

       x          

 ((4 • —) +  3) -  23  = 0

       3          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        3     3 • 3

   3 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x + 3 • 3     4x + 9

——————————  =  ——————

    3            3  

Equation at the end of step

2

:

 (4x + 9)    

 ———————— -  23  = 0

    3        

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         23     23 • 3

   23 =  ——  =  ——————

         1        3  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(4x+9) - (23 • 3)     4x - 60

—————————————————  =  ———————

        3                3  

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  4x - 60  =   4 • (x - 15)

Equation at the end of step

4

:

 4 • (x - 15)

 ————————————  = 0

      3      

Answer:

3<_x<13/2

Step-by-step explanation:

Answer:50 mph= fifty miles per hour

Step-by-step explanation:

that’s the meaning of mph

Answer:

:20.5 miles

Step-by-step explanation:

Answer:

The formula for distance, rate (speed), and time isDistance=rate×timeD=40 (this is the speed he was going for the first customer) ×  (time)the time is 12/60 because we the speed was in miles per HOUR and the time was in miles per MINUTE. To convert minutes to hours, we divide by 60.D=40× D=48/6D=8 milesSecond trip:D= 50×D=50× (15/60 simplified is 1/4)

D= 12.5 milesANSWER: 8 miles + 12.5 miles = 20.5 miles

Answer:

A. (5, 2)

Step-by-step explanation:

Given

\(\begin{cases}x+y=7,\\2x+3y=16\end{cases}\),

Multiply the first equation by 2, then subtract both equations to get rid of any terms with \(x\):

\(\begin{cases}2(x+y)=2(7),\\2x+3y=16\end{cases}\\\implies 2x+2y=14,\\2x+3y=16,\\2x-2x+2y-3y=14-16,\\-y=-2,\\y=\boxed{2}\)

Substitute \(y=2\) into any equation to solve for \(x\):

\(x+y=7,\\x+2=7,\\x=7-2=\boxed{5}\)

Since coordinates are written as (x, y), the solution to this system of equations is (5, 2).

Answer:

A. ( 5 , 2 )

Step-by-step explanation:

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

To make x and 2x equal, multiply all terms on each side of the first equation by 2 and all terms on each side of the second by 1.

Simplify.

Subtract 2x+3y=16 from 2x+2y=14 by subtracting like terms on each side of the equal sign.

Add 2x to -2x. Terms 2x and -2x cancel out, leaving an equation with only one variable that can be solved.

Add 2y to -3y.

Add 14 to -16.

Divide both sides by -1.

Substitute 2 for y in 2x+3y=16. Because the resulting equation contains only one variable, you can solve for x directly.

Multiply 3 and 2

Subtract 6 from both sides of the equation.

Divide both sides by 2.

The system is now solved.

x = 5 and y = 2