For what value of x is the rational expression below undefined?
x-3
3+x
A. 3
OB. -1
O C. 0
OD. -3

Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6

The parameters are given as:

Number - 4

Fraction - 3/6

The following steps can be used to determine the product as the product of a whole number and a unit fraction:

Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.

Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.

Step 3 - Write the given expression.

4 * 3/6

Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.

4 * 3 * 1/6

Step 5 - Simplify the above expression.

12 * 1/6

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Answer:

$111.52

Step-by-step explanation:

You have to divide your total amount by 1.15 and that will give you your answer. To check your work you can add your answer and 15% of your answer together. {111.52+(111.52x0.15)=128.25}

Answer:

2456

Step-by-step explanation:

Answer:

y=10

Step-by-step explanation:

1

Rearrange terms

5

+

=

1

5

+

5

=

1

5

2

Subtract

5

5

5

from both sides of the equation

+

5

=

1

5

+

5

−

5

=

1

5

−

5

3

Simplify

Subtract the numbers

Subtract the numbers

Solution

=10

Answer:

15m+20

Step-by-step explanation:

5(3m+4)

5*3m, 5*4

15m+20

Answer:

15m+20

Step-by-step explanation:

5 Times 3m equal to 15m

5 Times 4 equal to 20

Answer:

(4 + y)(4 - y)

Step-by-step explanation:

\(16 - {y}^{2} \\ \\ = {4}^{2} - {y}^{2} \\ \\ = (4 + y)(4 - y)\)

Answer:

$4.40.

Step-by-step explanation:

$27.50 × 16/100

=$4.40

Answer:

Wages

Step-by-step explanation:

Answer:

2. Wages

4. Allowance

Step-by-step explanation:

very simple question I wish I saw this earlier so I could help. Can I please get brainliest.

尺蛾翅蛾。(thank you.)

The value of 'n' satisfies the inequality 2n + 7 > 13 is  [4, ∞).

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The given inequality is 2n + 7 > 13.

Assuming n ∈ I.

Therefore, The values of 'n' that satisfies the giver inequality is,

At, n = 3, 2n + 7 = 13.

So, The values of 'n that satisfies the inequality is [4, ∞).

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The weighted dollar amount of the savings account as per the an investment portfolio is; $67.20.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Given that An investment portfolio is;

Investment Amount   Invested    ROR

Savings Account  $3,200     2.1%

Municipal Bond  $4,900       4.5%

Preferred Stock   $940         10.5%    

Common Stock A       $1,675     -3.5%

The weighted dollar amount of the savings account is;

= 2.1% of $3200

=  ( 2.1 / 100)  × $3200

= ($6720) /100

= $ 67.20

Therefore, the weighted dollar amount of the savings account as per the an investment portfolio is; $67.20.

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Answer:

47.725%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 80 mph

σ is the population standard deviation = 10 mph

For x = 80 mph

z = 80 - 80/10

z =0

Probability value from Z-Table:

P(x = 80) = 0.5

For x = 100 mph

z = 100 - 80/10

z = 2

Probability value from Z-Table:

P(x = 100) = 0.97725

Probability of the player's serves thay were between 80 mph and 100 mph is calculated as:

P(x = 100mph) - P(x = 80 mph)

= 0.97725 - 0.5

= 0.47725

The percentage of the player's serves that were between 80 mph and 100 mph is calculated as:

Converting to percentage:

0.47725 × 100 = 47.725%

Answer:

98

Step-by-step explanation:

the square root of 9604 is 98 which lie between 97 and 99

9514 1404 393

Answer:

  25

Step-by-step explanation:

  total books = (books per box) × (number of boxes)

  number of boxes = (total books)/(books per box) = 625 /25 = 25

She needs 25 boxes to move all the books.

Answer:

375 posters can be printed for $950

Step-by-step explanation:

First, create an equation. X = number of posters: 200+2x=950

Second, subtract 200 from both sides to get an equation of: 2x=750

Third, divide 2 on both sides to get: x = 375

Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

The inverse function of f(x) = 4x + 7 is found throughout the problem.

The steps are given as follows:

The function for this problem is defined as follows:

f(x) = 4x + 7.

Hence:

y = 4x + 7.

Exchanging x and y, we have that:

x = 4y + 7.

Then we must isolate the variable y, as follows:

x - 7 = 4y.

(x - 7)/4 = y.

\(f^{-1}(x) = \frac{x - 7}{4}\)

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(a) x -5 -3 0 2 4

   y 4 0 -6 -10 -14

(d) x -14 -10 -6 0 4

   y 4 2 0 -3 -5

These tables could be used to verify that the functions they represent are inverses of each other

To verify if two functions are inverses of each other, we need to check if the composition of the two functions gives the identity function.

In other words, if f and g are two functions, then we need to check if f(g(x)) = x and g(f(x)) = x for all x in their domains.

We can create two tables, one for f and one for g, and use them to compute the compositions.

If the compositions give the identity function, then the functions are inverses of each other.

Based on this, the two tables that could be used to verify that the functions are inverses of each other are:

(a) x -5 -3 0 2 4

    y  4 0 -6 -10 -14

(d) x -14 -10 -6 0 4

    y 4    2   0 -3 -5

We can use the values in these tables to compute the compositions f(g(x)) and g(f(x)) and check if they give the identity function.

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The objective function is:

We need to find the shaded region where 4 inequalities overlap, then we need to graph the given inequalities:

And the other one:

And x>=0, y>=0

The graph is:

The coordinates of the shaded region are then:

(0,0), (0,8), (10,3) and (15,0)

To obtain the maximum value, let's evaluate the objective function in all the coordinates:

Then, the maximum value is the largest value obtained, then it's 30 and it occurs at x=15 and y=0.

7. The value of f'(4) for function f(x) = 3x + 4 is 3.

8. The equation for the tangent line to the curve is y = 1/2x + 1/2.

9. The equation for the tangent line to the hyperbola is y = -1/3 x + 2.

The definition of derivative of function f(x) is

f'(x) = Lim h→ 0 {f(x+h) - f(x)}/h

\(f'(x) \:=\:  \lim_{h \to 0} \frac{f(x+h) \:-\: f(x)}{h}\)

The tangent to a curve is equal to the first derivative of the curve where x is the x coordinate at the point of tangency to the curve.

The equation for a line

y - y₁ = m (x - x₁)

7. f(x) = 3x + 4

f'(4) = Lim h→ 0 {f(4 + h) - f(4)} /h

f'(4) = Lim h→ 0 {16 + 3h - 16} /h

f'(4) = Lim h→ 0 3h/h

f'(4) = Lim h→ 0 3

f'(4) = 3

8. y = f(x) = √x

m = f'(1) = Lim h→ 0 {f(1 + h) - f(1)} /h

m = Lim h→ 0 {√(1 + h) - 1} /h

m = Lim h→ 0 {√(1 + h) - 1} /h × {√(1 + h) + 1}/{√(1 + h) + 1}

m = Lim h→ 0 {(1 + h) - 1} /{h (√(1 + h) + 1)}

m = Lim h→ 0 {h /{h (√(1 + h) + 1)}

m = Lim h→ 0 {1/ (√(1 + h) + 1)}

m = 1/ (√(1 + 0) + 1)

m = 1/ (√(1) + 1)

m = 1/ (1 + 1)

m = 1/2

The equation line

y - y₁ = m (x - x₁)

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

y = 1/2x - 1/2 + 1

y = 1/2x + 1/2

9. y = f(x) = 3/x

m = f'(3) = Lim h→ 0 {f(3 + h) - f(3)} /h

m = Lim h→ 0 {3/(3 + h) - 1} /h

m = Lim h→ 0 {3/(3 + h) - (3 +h)/(3 + h)} /h

m = Lim h→ 0 {(3 - 3 - h)/(3 + h)} /h

m = Lim h→ 0 {(- h)/(3 + h)} /h

m = Lim h→ 0 {(- 1)/(3 + h)}

m = {(- 1)/(3 + 0)}

m = {(- 1)/3}

m = - 1/3

The equation line

y - y₁ = m (x - x₁)

y - 1 = -1/3 (x - 3)

y = -1/3 x + 1 + 1

y = -1/3 x + 2

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Answer:

-------------------------

Direct variation equation:

Use the first pair of coordinates, x = 3 and y = 8 to find the value of k:

The equation becomes:

Now use the value of x = 18 to find the missing coordinate:

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

From the attached line segment graph, we see the coordinates as;

J (1, -10) and K (7, 2)

Let us assume that, point L divides the directed line segment from J to K into a ratio of 5:1.

From the properties of coordinate geometry we know that, the coordinates of point that divides the line joining (x₁, y₁), (x₂, y₂) in m:n, are;

[(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]

Plugging in the relevant values gives;

[(5 * 7 + 1 * 1)/(5 + 1)], [(5 * 2 + 1 * -10)/(5 + 1)]

⇒ (6, 0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

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Answer:

c. 0

Step-by-step explanation:

If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.

Mean = 1085.2 cm³

Standard deviation = 125.6 cm³

Hence,

Lower limit = Mean - 2 x Standard deviation

Lower limit  =1085.2 - 2 x 125.6

Lower limit =1161.2 - 251.2

Lower limit  =910

Upper Limit = Mean + 2 x Standard deviation

Upper Limit = 1161.2 +  2 x 125.6

Upper Limit =1161.2 +251.2

Upper Limit =1412.4

The limit of values is from 910 to 1412.4.

A value below 910 will be is considered low and a value above 1412.4  will be considered high

Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.

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Answer:

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:

Sum of interior angles = (n - 2) × 180°

In the case of a hexagon, n = 6. So, we can plug this value into the formula:

Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:

Sum of interior angles of hexagon = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

The z-score corresponding to a sample mean capacity for 20 tanks of 8550 is 2.238.

To find the z-score corresponding to a sample mean capacity for 20 tanks of 8550, we need to use the formula for the z-score:

z = (x - μ) / (σ / √n)

Where:

x = sample mean capacity

μ = population mean capacity

σ = population standard deviation

n = sample size

Given:

x = 8550, μ = 8544, σ = 12 and n = 20

Substituting these values into the formula:

z = (8550 - 8544) / (12 / √20)

z = 6 / (12 / √20)

z = 6 / (12 / 4.472)

z = 6 / 2.683

z = 2.238

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Answer:

120

Step-by-step explanation:

we know if the arc measures 120, we know that its 1/3 of the circle, so ABC will also be 120

Answer:

18

Step-by-step explanation:

Answer:

18/1 so basically 18

Step-by-step explanation: