which set of ordered pairs does not represent a function {(−5,−7),(−1,4),(−3,4),(5,2)};{(−8,−7),(4,7),(4,−9),(5,−6)};{(−5,−7),(−6,7),(−1,−9),(9,7)};{(4,5),(1,5),(3,−7),(7,6)}

To solve this expression we can calculate this way:

So the answer is A)

Answer:

1 / 5

Step-by-step explanation:

Given that:

Number of white marbles = 5

Number of blue marbles = 3

Number of green marbles = 7

Required is the approximate probability of drawing 2 green marbles, Note that drawing is done without replacement :

Probability = required outcome / Total possible outcomes

Total possible outcomes = sum of all marbles = (5 + 3 + 7) = 15 marbles

First draw:

P(Green) = 7 / 15

Second draw:

Required outcome = 7 - 1 = 6

Possible outcomes = 15 - 1 = 14

P(green) = 6 / 14

Probability of drawing out two green marbles :

(7/15 * 6/14) = 42 / 210 = 1 / 5

The required value of the sum of the decimal values is 0.5536. Option c is correct.

Given that,
0.4 + 0.143 + 0.3706 =

It is defined as a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

Here,
To simplify 0.4 + 0.143 + 0. 3706 we transform it into
= 0.0400 + 0.1430 + 0.3706
= 0.1830 + 0.3706
= 0.5536

Thus, the required value of the sum of the decimal values is 0.5536. Option c is correct.

For more information about recurring decimal check it out here:
brainly.com/question/820308

#SPJ1

Answer:

see explanation

Step-by-step explanation:

the domain ( values of x ) that a quadratic can have is all real numbers

domain : - ∞ < x < ∞

the range ( values of y ) are from the vertex upwards , that is

range : y ≥ - 2

Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1

The comparison of the connection here between variable and its value is a compound inequality. In a compound inequality, a variable is compared across two ranges which may provide the variable's range by satisfying either one or both of the limitations .

The given absolute value inequalities :

|(x+1)/2 - x/2| < 1/2

Removing the modulus sign will for 2 equations:

(x+1)/2 - x/2 < 1/2  and  (x+1)/2 - x/2 < - 1/2

Simplifying each:

(x+1)/2 - x/2 < 1/2  

x/2 + 1/2 - x/2 < 1/2

Both values will get cancelled:

0 < 0

But 0 = 0

and  (x+1)/2 - x/2 > - 1/2

x/2 + 1/2 - x/2 > -1/2

0 > -1 (correct)

here also the terms are getting completely cancelled to

Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1

Know more about the absolute value inequalities

https://brainly.com/question/27307313

#SPJ1

Complete question:

Find the set of the solutions of the following absolute value inequalities.

|(x+1)/2 - x/2| < 1/2

Answer:

(2,-2)

Step-by-step explanation:

the graph...

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

To know more about identities visit:-

brainly.com/question/14681705

#SPJ1

I THINK!!!!!! (x, y) = (-4, -25) im not completely sure tho

Step-by-step explanation:

substitute y = 7x + 3 in equation 2

9x - 2y = 14

9x - 2(7x + 3) = 14

9x - 14x + 6 = 14

-5x + 6 = 14

-5x = 14 - 6

x = 8 ÷ 5

x = 1.6

subs x = 1.6 into equation 1

y = 7x + 3

y = 7(1.6) + 3

y = 11.2 + 3

y = 14.2

thus, x = 1.6, y = 14.2

Answer:

-10

Step-by-step explanation:

Let x = number of postcards sold (as this is the independent variable)

Let y = profit (as this is the dependent variable)

We need to find the equation of the straight line that passes through the two points.

Find the gradient using the formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

where \(m\) is the slope and \((x_1, y_1)\)  and \((x_2, y_2)\) are the two points

Let \((x_1, y_1)\) = (4, 2)  and \((x_2, y_2)\)  = (10, 20)

Therefore, \(m=\frac{20-2}{10-4}=\frac{18}{6} =3\)

Now use the equation of line formula:  \(y-y_1=m(x-x_1)\)

y - 2 = 3(x - 4)

y - 2 = 3x - 12

     y = 3x - 10

If Max doesn't sell any postcards, then x = 0.

Substituting x = 0 into the equation of the line:  y = (3 x 0) - 10 = -10

Therefore, Max's profit prior to selling any postcards is -10 (so he is at a net loss of 10 before selling any postcards).

A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

Read more on perimeter of a rectangle here: brainly.com/question/28695033

#SPJ1

Answer:

50mph

Step-by-step explanation:

Answer:

f(g(x)) = 12x - 37

Step-by-step explanation:

Step 1: Define

f(x) = 6x + 5

g(x) = 2x - 7

Step 2: Find f(g(x))

f(g(x)) = 6(2x - 7) + 5

f(g(x)) = 12x - 42 + 5

f(g(x)) = 12x - 37

Answer:

x=45

Step-by-step explanation:

First, we can add the two expressions and set them equal to 180.

3x+45=180

To isolate x, we can subtract 45 from each side, getting:

3x=135

Next, we can divide both sides by 3 to further isolate x. In the end, we get x=45.

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

Read more about Degree of Polynomials at: https://brainly.com/question/1600696

#SPJ1

Answer:

5100

Step-by-step explanation:

60x85 = 5100

Answer:

x=2; the extraneous root x=42.

All the details are in the attached picture, the answer is marked with red colour.

The solution set is {2, 42} & the extraneous root is 42

If there are two roots in an equation, and one of them does not properly satisfy the equation, then the root is called extraneous root of that equation.

Given equation is,

\(2+\sqrt{2x-3}=\sqrt{x+7}\)

Squaring both sides we get,

\(2^{2} +2(2)(\sqrt{2x-3} )+(\sqrt{2x-3}) ^{2} = (\sqrt{x+7}) ^{2}\)

⇒ \(4+4\sqrt{2x-3} +2x-3=x+7\\\)

⇒ \(4\sqrt{2x-3} =6-x\)

Again, squaring both sides we get,

⇒ \((4\sqrt{2x-3}) ^{2} =(6-x)^{2}\)

⇒ \(16(2x-3)=6^{2} -12x+x^{2}\)

⇒ \(32x-48=36-12x+x^{2}\)

⇒ \(x^{2} -44x+84=0\)

⇒ \(x^{2} -42x-2x+84=0\)

⇒ \((x-42)(x-2)=0\)

So, x = 2 & 42

Here extraneous root is 42.

Learn more about extraneous root here :

https://brainly.com/question/658096

#SPJ2

Answer:

Step-by-step explanation:

Let x = base side length

y = side height

volume V = x²y

y = V/x²

surface area

A = x² + 4xy

A = x² + 4x(V/x²)

A = x² + 4V/x

Solving for volume

V = (A - x²)(x/4)

V = ¼(Ax - x³)

a maximum will occur when the derivative equals zero

V' = ¼(A - 3x²)

0 = ¼(A - 3x²)

0 = A - 3x²

3x² = A

3x² = 1100

x² = (1100 / 3)

x = √(1100/3)

V = (A - x²)(x/4)

V = (1100 - √(1100/3))²(√(1100/3)/4)

V = 3,510.56606...

V = 3510.6 cm³

The box height will be half of the base side length.

y = ½√(1100/3)

The appropriate shape to model each section of the tower are the cone and the cylinder.

The approximate surface area of each shape would be =

For cone = 1,041.27m²

For cylinder = 3,543.72m².

The first shape is a cone and the formula for the surface area = A = πr(r+√h²+r²)

where;

Radius = 24/2 = 12

height = 10m

Area = 1,041.27m²

For cylinder:

A = 2πrh+2πr²

where:

r = 12m

h = 35m

A = 3,543.72m²

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

Learn more on maximizing volume here;

https://brainly.com/question/10373132

#SPJ4

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

viola!

hope this helped!

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

hope this helped!

The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

Click here for additional information about probability.

https://brainly.com/question/17089724

#SPJ1

Answer:

x=12 Proportion should be 1 2/3

Step-by-step explanation:

To find PT, subtract 26 from 65= 39

26/39 is equal to 2/3, so 30/(4x-3) should also be equal to 2/3

30/(4x-3)=2/3 (Cross Multiply)

30*3=90

2(4x-3)=8x-6

8x-6=90 (Add 6 to both sides)

8x=96 (Divide 8 from both sides)

x=12

QT is equal to 4(12)-3=45

RT is 75

Proportion: 65/39=1 2/3

75/45=1 2/3

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ1

Answer:

  the product of 6 and 23 is more than 126

Step-by-step explanation:

You want to know how to tell that 6 is too high an estimate for the first digit of the quotient of 126 and 23.

When the trial quotient value of 6 is multiplied by the actual divisor of 23, we are computing 6(20 +3) = 120 +18. This is more than 126, so the trial quotient value is too large.

__

Additional comment

Another way to tell is to consider the dual problem that 120/20 = 6 represents: 120/6 = 20. It is easy to see that 126/6 = 21, so we know that a divisor of 23 (larger than 21) will give a quotient less than 6.

The value of the missing length to the nearest tenth are;

a. x = 7.5

b. x = 7.8

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore ;

c² = a²+b²

a. x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = 7.5 ( nearest tenth)

b. using Pythagoras theorem also!

x² = 6²+5²

x² = 36+25

x² = 61

x = √61

x = 7.8( nearest tenth).

Therefore the value of the missing values are 7.5 and 7.8

learn more about Pythagoras theorem from

https://brainly.com/question/343682

#SPJ1

The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

To know more about equation of the line here

https://brainly.com/question/402319

#SPJ1

Answer:

i THINK anyson earned 1742.4 a month in June but I’m a middle schooler so

Step-by-step explanation:

The internet