Solve 3(x + 6) - 2(x - 2) ≥ 10

Answer:

f(x)=24

Step-by-step explanation:

Replace x in the function with the value 4.

f(4)= (4)^2 + 3(4) - 4  

16 + 12 -4

28 - 4

F(x)= 24

Given :

The Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4).

To Find :

How far is it from the Elkin exit to the Mt. Airy exit.

Solution :

E(-5,-2) , D(-1 ,4 ) .

It is also given that Dobson exit is halfway between the Mt. Airy exit and the Elkin exit.

Let , location of Elkin exit is A(h,k) .

So , point D in terms of A and E is given by :

[tex](\dfrac{h-5}{2},\dfrac{k-2}{2})[/tex] .

Comparing it with given D :

[tex]\dfrac{h-5}{2}=-1\\\\h=3[/tex] [tex]\dfrac{k-2}{2}=4\\\\k=10[/tex]

Therefore , the location of Mt. Airy exit is ( 3, 10 ) .

Distance between Elkin exit to the Mt. Airy exit.

[tex]D=\sqrt{(5-3)^2+(-2-10)^2}\\\\D=12.17\ units[/tex]

Therefore , distance between Elkin exit to the Mt. Airy exit is 12.17 units .

Hence ,this is the required solution .

Answer:

y-2=5(x--8)

Step-by-step explanation:

Formula for point slope form equation: y-y1 = m(x – x1)

After that just plug in the given numbers

Answer:

q = 12/13

Step-by-step explanation:

Step 1: Write equation

1 - (13q - 5) = -6

Step 2: Solve for q

Distribute -1: 1 - 13q + 5 = -6

Combine like terms: 6 - 13q = -6

Subtract 6 on both sides: -13q = -12

Divide both sides by -13: q = 12/13

Answer:

y=2x

Step-by-step explanation:

x = attendees

y = total of cost for attendees

we know each attendee cost $2 but we don't know how many attendee are there in order to find the total cost y.

Answer:

(8-28i)/53

hope it helps!

Step-by-step explanation:

The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.

The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

Experimental vs Theoretical Probability

How to find the Experimental Probability of an event?

Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.

Step 2: Divide the two numbers to obtain the Experimental Probability

How to find the Theoretical Probability of an event?

The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.

Answer:

The answer is 14. Not -14.

Step-by-step explanation:

The value of x for the given triangle will be 14.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the perimeter of the equilateral triangle shown is 67.5 inches. One side of the triangle is 1.75x - 2.

Perimeter = 3 ( 1.75x - 2 )

67.5 = 5.25x -6

x = ( 73.5 / 5.25 )

x = 14

Therefore, the value of x for the given triangle will be 14.

To know more about an expression follow

https://brainly.com/question/24382052

#SPJ2

Answer:

$1.5

Step-by-step explanation:

if each dozen cost $18, we need to divide.......18/12........because 12 is a dozen.

18/12 = 1.5

Answer:

A. 40.021

Step-by-step explanation:

Unlimited calls = $40

Text message = $0.021

NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.

Total cost = Cost of unlimited calls + cost of text messages

C = $40 + $0.021

= $40.021

Therefore, the equation which represent the total cost in dollars for a month is 40.021

A. 40.021

Answer:

he is right^ A.

Step-by-step explanation:

5x-7y=58

y=-x+2

5x-7y=58

5(6)-7y=58

30-7y=58

-7y=58-30

-7y=28

y= -4

Answer:

x = 6, y = -4

Step-by-step explanation:

Khan Academy

24 = 2x + 4

2x = 20

x = 10

.......................

Answer:

x = 60

Step-by-step explanation:

X/2-5=25

Add 5 to each side

X/2-5+5=25+5

x/2 = 30

Multiply each side by 2

x/2*2 = 30*2

x = 60

Answer:

60

Step-by-step explanation:

x/2 - 5 =25 /×2

x - 10 =50

x=50 +10

x=60

5+x-12=2x-7

x=0.5

5+0.5-12=2(0.5)

Answer:

should be 81.5

Step-by-step explanation:

Answer:

3x-y= -8

Step-by-step explanation:

i believe this answer is correct

Answer:

-5x - 32

Step-by-step explanation:

Use distributive rule :   a(b + c) = ab + ac

3x - 8(x + 4) =3x + x*(-8) + 4*(-8)

                   = 3x - 8x - 32         {combine like terms}

                    = -5x - 32

Answer:

5 pounds of tomatoes

Step-by-step explanation:

5 pounds of tomatoes

8-2=6

6/1.20=5

Answer:

x = 5

Step-by-step explanation:

Given

x + 5 = 10 ( isolate x by subtracting 5 from both sides )

x = 5

Answer:

Step-by-step explanation:

6x + 2y = 26

5x - 2y = 7

11x = 33

x = 3

3(3) + y = 13

9 + y = 13

y = 4

(3,4)

Answer:

700

Step-by-step explanation:4623=4600

3892=3900

4600-3900=700

Answer:

700

Step-by-step explanation:

4623 round to the nearest hundred : 4600

3892 round to the nearest hundred: 3900

4600-3900= 700

Answer:

its the last one i believe

Step-by-step explanation:

because u have to get m by its self so

you divide 5 square from both sides and boom

Answer: (2x - 5) • (4x - 1)

STEP 1 : Equation at the end of step 1

(23x2 - 22x) + 5

STEP 2 : Trying to factor by splitting the middle term

2.1 Factoring 8x2-22x+5

The first term is, 8x2 its coefficient is 8 .

The middle term is, -22x its coefficient is -22 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40

Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .

-40 + -1 = -41

-20 + -2 = -22 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2

8x2 - 20x - 2x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (2x-5)

Add up the last 2 terms, pulling out common factors :

1 • (2x-5)

Step-5 : Add up the four terms of step 4 :

(4x-1) • (2x-5)

Which is the desired factorization

Final result : (2x - 5) • (4x - 1)

Answer:

D and C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table

m = [tex]\frac{28-29}{0+4}[/tex] = - [tex]\frac{1}{4}[/tex]

The line crosses the y- axis at (0, 28 ) ⇒ c = 28

y = - [tex]\frac{1}{4}[/tex] x + 28 ← equation of line → D

Answer:

Do you have a picture of the problem, please?

Step-by-step explanation:

Only then, can I edit this and provide an accurate answer! ;D

Answer:

x=7

Step-by-step explanation:

x=7

Yes, 12 can be a part of more than one fact family because the fact family 3*4 or 6*2 or 9+3.