Write an equation of the line that passes through a pair of points:
(-3,-1), (2, 2)
y = 3/5 x - 5/4
y = 3/5 x + 4/5
y=3/5 x -4/5
y=-3/5 x + 4/5

There is no answer because there cannot be one to one function inverse.

Answer:

x - 2, if x > 5

Step-by-step explanation:

The vertical lines either side of the expression mean absolute value.

The absolute value of a number is its positive numerical value.

if x > 5 then as 5 > 2, the values inside the vertical lines will always be positive.  Therefore, we can disregard the absolute value.

Therefore:  

x - 2,  if x > 5

To find the range (output values) of the expression, substitute x = 5 into the expression:

⇒ 5 - 2 = 3

Therefore, |x - 2| > 3,  if x > 5

Applying the Pythagorean theorem, the length of b, to the nearest tenth, is: 11.2.

The Pythagorean theorem is the theorem that is applied when finding any length of a right triangle. Where a and b are the smaller sides of the right triangle, and c is the longest side (hypotenuse) of the right triangle, the Pythagorean theorem states that: a² + b² = c².

We are given the following regarding a right triangle:

a = 10 (one of the smallest side)

c = 15 (the longest side/hypotenuse)

Plug in the values into a² + b² = c²:

10² + b² = 15²

100 + b² = 225

Subtract 100 from both sides

100 + b² - 100 = 225 - 100

b² = 125

Square both sides

√b² = √125

b ≈ 11.2

The length of b, to the nearest tenth, is: 11.2.

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The answers to the question are:

1. The letters of the word track can be arranged in 5! ways

These are  5 x 4 x 3 x 2 x1

= 120

2. The way that the student would be able to select 6 out of 10 questions would be by 10C6

= 210 ways

C)This teacher would be able to make the decision of the prices to the students using =20C6= n!(n-r!r!)

= 38760

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Answer:  -12

Step-by-step explanation:    x is -4 so -(-4) is positive 4. d = 3 so -3 = -3. -3x4 = -12.

La probabilidad que se pueden calcular es:

c: Probabilidad de que el chocolate no tenga relleno de piña.

Sabemos que hay 25 chocolates en total en la caja, tal que:

La probabilidad de obtener un tipo particular de sabor se obtiene como el cociente entre el número de chocolates de ese sabor y el total de chocolates.

La probabilidad que se pueden calcular es:

c: Probabilidad de que el chocolate no tenga relleno de piña.

Sabemos que 5 chocolates tienen relleno de piña, entonces 20 no tienen relleno de piña. es decir, la probabilidad es:

P = 20/25 = 4/5

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Answer:

$270

Step-by-step explanation:

Find her gross income....then subtract taxes:

       30 hr/week * $10/hr        - $ 30     = $270

The dividends per share on each class of stock for each of the four years for Seventy-Two Inc. are as follows:

                                            Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $32,000    $40,000    $36,000        $36,000

Outstanding shares          60,000      60,000      60,000           60,000

Dividend per share           $0.53       $0.67          $0.60             $0.60

                                          Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $0              $32,000     $44,000       $64,000

Outstanding shares        400,000    400,000     400,000       400,000

Dividend per share        $0              $0.08            $0.11              $0.16

                              3% Cumulative Preferred       Common Stock

Outstanding shares          60,000                        400,000

Par Value                            $20                              $25

Total value                       $1,200,000              $10,000,000

Annual dividend            $36,000 ($1,200,000 x 3%)

                                            Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $32,000    $72,000    $80,000       $100,000

Cumulative Preferred      $32,000    $40,000    $36,000        $36,000

Common Stock                $0              $32,000    $44,000        $64,000

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Answer:

The 1:n ratio is= 1 : 1.125

The n:1 ratio is= 8/9 : 1

Just the simple ratio is= 4 : 4.5

Answer:

Second number line

Step-by-step explanation:

This second line is the only line on which

[tex]-7\frac{1}{2} \text{ appears to the left of } 0 \text{ on the line (Point R)}\\+1 \text{ appears to the right of } 0 \text{ on this number line (Point T) }\\[/tex]

Answer:

○B (second option)

Step-by-step explanation:

In the second option, we can see that the point T is at +1. The point R is between -7 and -8, therefore we understand that it is at a value of [tex]\bf -7\frac{1}{2}[/tex].

All the other options have the points R and T at values not asked for in the question.

Answer:

It might be  - c² or  b³ *SORRY IF IM WRONG HAVE A GOOD DAY :D)

Step-by-step explanation:

I agree with the person above ^^^

The current value of his Roth IRA is $215,658.00

What is Roth IRA retirement account?

Roth IRA retirement account is a retirement account where the contributions to the account are invested after taxes after have been deducted.

In other words, when the individual make contributions, taxes are first of all, deducted so as to invest the after-tax contribution into the Roth IRA account

The account lost 1/3 of its original value of $215,658

balance after the loss=$215,658-(1/3*$215,658)

balance after the loss=$ 143,772.00

Now the account regained 1/2 of its new balance of $ 143,772.00

balance now=$143,772.00+(1/2*$143,772.00)

balance now=$215,658.00

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Complete with the missing fractions:

michael wittry has been investing in his roth IRA retirement account for 20 years. Two years ago his account was worth $215,658. after losing 1/3 of its origiInal value, it then gained 1/2 of its new value back, what is the current value of his roth IRA?

He needs to run with approximately 6429 for a distance of 9 km

The given parameters are:

Length of stride = 1.4 m

Distance for marathon = 9 km

The number of strides needed is then calculated as:

Number of stride = Distance for marathon/Length of stride

Substitute the known values in the above equation

Number of stride = 9km/1.4m

Convert km to m

Number of stride = 9000m/1.4m

Evaluate the quotient

Number of stride = 6428.57143

Approximate the estimate

Number of stride = 6429

Hence, he needs to run with approximately 6429 for a distance of 9 km

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Answer:

(a - b)(a + b)(a² + b²)([tex]a^{4}[/tex] + [tex]b^{4}[/tex] )

Step-by-step explanation:

by repeated use of the difference of squares factorising method, that is

a² - b² = (a - b)(a + b)

given

[tex]a^{8}[/tex] - [tex]b^{8}[/tex]

= ([tex]a^{4}[/tex] )² - ([tex]b^{4}[/tex] )²

= ([tex]a^{4}[/tex] - [tex]b^{4}[/tex] )([tex]a^{4}[/tex] + [tex]b^{4}[/tex] ) ← factor left parenthesis using difference of squares

= ( a² - b²)(a² + b²)([tex]a^{4}[/tex] + [tex]b^{4}[/tex] ) ← factor left parenthesis by difference of squares

= (a - b)(a + b)(a² + b² )([tex]a^{4}[/tex] + [tex]b^{4}[/tex] )

Answer:

14ft

Step-by-step explanation:

12 yard pipe equals 36ft. Divided equally 3 times gives 3 pipes at 12ft per pipe. 2 of those are divided in half, making 4 6ft pipes. 1 of the 6ft pipes is cut into 3 2ft pipes. you now have 3 pipes at 2ft, 3 pipes at 6ft and 1 pipe at 12ft. the longest 2 pieces are 12ft and 6ft making 18ft. 2 shoetest pieces equal 4ft. 18ft minus 4ft equals 14ft.

Answer:

16

Step-by-step explanation:

when we multiply we have 16n so thats is d coefficient

Answer:

35.4m below sea level

Step-by-step explanation:

172.5 - 137.1 = 35.4

The shark's location is now 35.4m below sea level.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 4 -2 = 2

Using the arithmetic operations of addition and subtraction, the shark's location is now in relation to sea level if the shark begins 172.5 meters below sea level and then swam up 137.1 meters.

Assume that distance below sea level is positive,

⇒ 172.5 - 137.1 = 35.4

Hence, the shark's location is now 35.4m below sea level.

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Answer: They are the same

Step-by-step explanation: We convert both to $ per hour. Call center A is $15 per hour. Call center B is $.25 per minute. .25 per minute means $1.00 every 4 minutes. There are 15 4 minutes in an hour so they both offer the same wage.

The area of the sector of the circle is: A. 50/3π in.².

The area of a sector that is bounded by two radii of a circle is calculated using the formula, ∅/360 × πr², where we have the following parameters:

Thus, we are given the following regarding the sector of the circle:

Central angle (∅) = 60 degrees

Radius (r) = 10 inches.

Plug in the values into ∅/360 × πr²:

Area of sector = 60/360 × π(10²)

Area of sector = 1/6 × π(100)

Area of sector = 100/6 × π

Area of sector = 50/3 × π

Area of sector = 50/3π in.²

Thus, the area of the sector of the circle is: A. 50/3π in.².

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The number of the students in the school that have had algebra is 203

The given parameters in the question are

The number of students that had algebra in the school is calculated as:

Algebra = Proportion of students taking algebra * Number of students in the school

The above equation can be represented as:

Algebra = np

Substitute values for n and p in the above equation

So, we have

Algebra = 290 * 70%

Express 70% as decimal i.e. 0.70

So, we have

Algebra = 290 * 0.70

Evaluate the product i.e. multiply 290 and 0.70

So, we have

Algebra = 203

Hence, the number of the students in the school that have had algebra is 203

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Answer:

Step-by-step explanation:

Simply plug in a 3 where you see an x in the function:

[tex]f(3)=3(3)^2-7[/tex] so

f(3) = 3(9) - 7 and

f(3) = 27 - 7 so

f(3) = 20

Answer:

The answer is G.

f-5 drop the class while s class is 3(f-5)

therefore, s=3(f-5)

In mathematics a linear inequality is an inequality involving a linear function. A linear inequality contains one of the inequality symbols.​< is less than > is greater than ≤ is less than or equal to ≥ is greater than or equal to ≠ is not equal to.

Let's find the critical points of the inequality.

x² − 9x −(−8) = − 8 −(−8) (Subtract -8 from both sides)

(x − 1)(x − 8) = 0 (Factor left side of equation)

x − 1 = 0 or x − 8 = 0 (Set factors equal to 0)

x < 1 (Doesn't work in original inequality)

1 < x < 8 (Works in original inequality)

x > 8 (Doesn't work in original inequality)

The third option is the correct one.

Answer: 5 is the smaller number and 21 is the larger number

Step-by-step explanation: let’s have the smaller of the numbers equal x and the larger one equal y. Y = 3x + 6 their sum is 3x + 6 + x or 4x + 6. This sum minus 4 is 22 so the sum is 26. 26-6 = 4x so 4x = 20 and x = 5 so r = 15+ 6 which is 21.

The equation of this given condition  in the intercept form would be

y = 5x + 24.99

The slope-intercept is the most “popular” form of a straight line. Many students find this useful because of its simplicity. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y-intercept can easily be identified or read off from this form.

The linear equation written in the form

y = mx + b

is in slope-intercept form where: m is the slope, and b is the y-intercept.

In the given question the slope of the equation is 5 as $5 is charged for every GB used while $24.99 would be the intercept.

Thus the equation of this given condition  in the intercept form would be

y = 5x + 24.99

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The equation that is equivalent to 8x - 6y = 12 is: B. y = 4x/3 - 2.

Equations that are equivalent to each other have the same value when evaluated or simplified.

Given the equation, 8x - 6y = 12, to determine which of the given equations in the options is equivalent to, rewrite the equation in slope-intercept form, as y = mx + b.

8x - 6y = 12

Subtract 8x from both sides of the equation

8x - 8x - 6y = -8x + 12

-6y = -8x + 12

Divide both sides of the equation by -6

-6y/-6 = -8x/-6 + 12/-6

y = 4x/3 + (-2)

y = 4x/3 - 2

Therefore, the equation that is equivalent to 8x - 6y = 12 is: B. y = 4x/3 - 2.

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Answer:

  x = 0

Step-by-step explanation:

Substituting the given "point" into the equation gives the possibilities for x.

Using (x, y) = (x, 8), the inequality becomes ...

  3x -4 < 8

Solving for x gives ...

  3x < 12 . . . . . . . add 4

  x < 4 . . . . . . . divide by 3

Any value of x less than 4 will make (x, 8) a solution to the inequality. For example, ...

  x = 0 . . . . . . (0, 8) is a solution to the inequality

Answer:

550

Step-by-step explanation:

165 x 100= 16500/30=550