A 2-column table with 5 rows. Column 1 is labeled Minutes with entries 1, 2, 3, 4, 5. Column 2 is labeled Words with entries 250, 500, A, 1,000, B. Use the relationship between quantities to calculate the missing values in the table. A = B =

Answer:

y = (1/2)x - (15/2)

Step-by-step explanation:

goal: to rearrange the expression such that it is in the form

y = f(x); where f(x) is an expression in terms of x

given:

x - 2y = 15      (subtract x from both sides)

-2y = 15 - x    (multiply both sides by -1 to make left side positive)

2y = -15 + x   (divide both sides by 2 and rearrange)

y = (1/2)x - (15/2)

Given:

QT = x + 6

TR = x - 4

SR = 12

PS = 27

Hence;

Solving for x:

Replacing x on QT and TR:

QT = x + 6 = 12 + 6 = 18

TR = x - 4 = 12 - 4 = 8

ANSWER

QT = 18

TR = 8

Answer:

8.68

Step-by-step explanation:

when you minus the two u get 8.68

:)

brainliest? i answered first :) and i only need one more

Answer:

It is 8.68. I hope i helped! Please give brainiest im almost leveled up!

Step-by-step explanation:

Given that A, B, and C are collinear and B lies between A and C, then:

AB + BC = AC

Replacing with data:

(2x + 2) + (3x + 6) = 48

(2x + 3x) + (2 + 6) = 48

5x + 8 = 48

5x = 48 - 8

5x = 40

x = 40/5

x = 8

Then,

BC = 3x + 6

BC = 3(8) + 6

BC = 24 + 6

BC = 30

Answer:

false

Step-by-step explanation:

only x=-4 would work in the inequality

The perimeter of the rectangle is 4h + 6

An algebraic expression can be defined as an expression that is composed of terms, variables, coefficients, constants and factors.

These expressions are also made up of arithmetic operations, such as;

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2( l + h)

Where;

l = 3 + h

Substitute the values

Perimeter = 2( 3 + h+ h)

expand the bracket

Perimeter = 2(3 + 2h)

Perimeter = 4h + 6

Hence, the expression is 4h + 6

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Answer:

2 is the answer

Step-by-step explanation:

The answer would be A) 2 Because when rounding you go to the nearest whole number. 2 is only 1/4 from 2 1/4  while 3 is 3/4 away and C) 1 is lower than answer A) 2, And Option D) 2 3/4 isnt even a valid option because its not a whole number/

Answer: A) 2

Answer:

x = -1/5

Step-by-step explanation:

2+3 (x+2x) = -2x(2-4) +1

Combine like terms

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

Distribute

2+9x = 4x +1

Subtract 4x from each side

2+9x-4x = 4x+1-4x

2+5x = 1

Subtract 2 from each sdie

5x = 1-2

5x = -1

Divide by 5

5x/5 = -1/5

x = -1/5

This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

The potential of an organization to generate growth and development is decided by its capacity. So, the option is correct.

Capacity is the correct option.

We know that

while generating an organization we do measure it by the growth and capacity and these two terms are called as capacity

whereas

The option B. Flexibility in an organization underlines the readiness and capability to change. Hence, the option is incorrect.

The option C. Organizational volatility is a degree of how uncertain a change might be. So, the option is not correct.

The option D. Sustainability in an organization can be achieved when the activities, processes, elements, resources, and other components do not harm or negatively affect the environment. Hence, the option is not correct.

The option E. The level of variation among diverse components of the organization is termed complexity. So, the option is incorrect.

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Answer:

Yes, because 2, 3, and 4 siblings added together will pass half of 20 ( the total of everything).

Step-by-step explanation:

Answer:

1.5 hr

Step-by-step explanation:

d = rt

re-arrange to

d/r = t

60 miles  / 40 miles/hr = 1.5 hr  

The number of students not involved in sport and band is from the Venn diagram is 225.

Students belonging to band and sport team = 15

Number of band members only = 75-15 = 60

Number of sport team members only = 115-15 = 100

Total number of students = 400

Total number of students = (sport only + band only + both sport and band + None of sport and band)

None of sport and band = 400 - (100+60+15)

None of sport and band = 400 - 175

None of sport and band = 225

Hence, the number of students not involved in sport and band is 225.

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Answer:

The mode is 1

Step-by-step explanation:

Mode is the number that occurs the most in the following numbers the statment gives you.

Hello there! :)

The variables (x's) must be on one side and the numbers must be on the other side.

Look:

-2x=6-112                                                 \(BRAINLIEST\)

-2x=-106

Now divide by -2 to isolate x:                                         \(PLEASE\)

x=53

and we're done!

Hope it helps! :)

                                                     \(GraceRosalia\)

___________________

Additional comment

If you found this answer helpful, please mark Brainliest!

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Huilan: x-11

Thomas: x(Assume)

Their Sum = 31

Huilan+Thomas = 31 ...(1)

Possible Equation: x+x-11= 31 ...(2)

Solved:

2x-11= 31

2x = 31+11

x = 42/2

x = 21

Therefore, Thomas' Age is 21.

The dot notation of the recurring decimal is 51.674674674674.....

Recurrent decimal, often known as recurring decimal, is a decimal number made up only of digits that repeat after the decimal at regular intervals. As an illustration, 46.374374374, 517.338383, etc. Depending on the sort of digits that follow the decimal point—whether they are recurring, non-repeating, ending, or unending—decimals can be divided into many groups (infinite digits after the decimal point).

Here the given recurring decimal is 51.674,

To write into dot notation , we need to write repeated numbers after digits. Then,

=> 51.674674674674....

Hence the dot notation of the recurring decimal is 51.674674674674.....

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Answer:

51.34°

Step-by-step explanation:

tan(x)  = opposite/adjacent

tan(x) = 10/8

tan(x) = 1.25

Using an online calculator, the determined angle is 51.34°

Answer:  51.34°

Step-by-step explanation:

It is given that the length of perpendicular = 10cm
                              Length of base = 8cm

Now we know that:

tan x = \(\frac{Perpendicular}{Base}\)

\(tan x = \frac{10}{8}\)     ⇒   \(tan x = \frac{5}{4}\)   ⇒  \(tan x = 1.25\)

⇒   \(x = tan^-1 (1.25)\)        ⇒\(x = 51.34\)°

Therefore the value of x is 51.34°

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The transformation of the function f(x) to f(-x) is a reflection of the graph of f(x) across the y-axis.

Please find attached the graph of the function f(x), created with MS Excel

The transformation of a function, is a function that turns a graph and a function into another graph and function.

The function of the graph, obtained from the graph of a similar question on the website, using MS Excel can be presented as follows;

f(x) = 0.0779·x² + 0.6883·x + 1

The possible coordinates of the points on the graph are;

(-7, 0), (0, 1), and (4, 5)

The rule for the transformation of the function f(x) to the function f(-x) is a reflection of the function f across y-axis.

The coordinates of the image of a point (x, y) following a reflection transformation across the y-axis is the point (-x, y), therefore;

(-7, 0) → Reflection across the y-axis → (7, 0)

(0, 1) → Reflection across the y-axis → (0, 1)

(4, 5) → Reflection across the y-axis → (-4, 5)

Plugging in the value of x in the equation for the function, we get;

Therefore; f(-x) = 0.0779·(-x)² + 0.6883·(-x) + 1 = 0.0779·x² - 0.6883·x + 1

f(-x)  = 0.0779·x² - 0.6883·x + 1

Please find attached the graph of f(-x), created with MS Excel

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Answer: 35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Step-by-step explanation:

The table showing Luthando's income based on the number of bicycles he sells:

No. of bicycle. Income

0 R100

1. R115

2. R130

3. R145

4. R160

Amount Luthando receives per day= R100

Commission on each bicycle = R15

Number of bicycles sold = x

The equation:

100 + 15x

When x = 0

100 + 15x

= 100 + 15(0)

= 100 + 0

= R100

When x = 1

100 + 15x

100 + 15(1)

= 100 + 25

= R115

When x = 2

100 + 15x

= 100 + 15(2)

= 100 + 30

= R130

When x = 3

100 + 15x

= 100 + 15(3)

= 100 + 45

= R145

When x = 4

100 + 15x

= 100 + 15(4)

= 100 + 60

= R160

Therefore, Luthando earned the following income R100, R115, R130, R145, R160

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Answer:

we know that q=-18

So if we see the fraction below it says q/3

We know that q is -18

Therefore, you substitute it in for q and you get

-18/3 which equals -6

Answer:

Step-by-step explanation:

1 cm = 10mm

52cm = 52 x 10 = 520mm

Answer: i think its 20

Answer:

1 2/3 x 12 = 20

Step-by-step explanation:

1 2/3 x 12  = 5/3 x 12

5x12/ 3 x 1

60/3

60/3 / 3/3

= 20

A- none because they are parallel lines

Answer:

its A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

- 8 × - 3 = 24 ÷4=6

this is the right answer

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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