Solve the inequality 2(x-4)<12

Answers

Answer 1

Answer:

x < 10

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

2(x - 4) < 12

Step 2: Solve for x

Distribute 2:                    2x - 8 < 12Isolate x term:                 2x < 20Isolate x:                          x < 10

Here we see that any number x smaller than 10 would work as a solution of x.


Related Questions

Find the difference. (−2g+7)−(g+11)

Answers

Answer:

Step-by-step explanation:

(-2g+7)-(g+11)

-2g+7-g-11

-3g-4

Which graph represents the solution set for the quadratic inequality x^2 + 2x + 1 > 0?


Answers

Answer:

The answer you selected is correct.

Step-by-step explanation:

The answer has to be greater than 0 so the bottom graph is correct.

The graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The quadratic inequality is x^2 + 2x + 1 > 0

[tex]x^2 + 2x + 1 > 0[/tex]

⇒ [tex](x+1)(x+1) > 0[/tex]

Plot this function on the graph as shown below.

From the graph, the function extends in both positive and negative direction at x = -1.

On number line, we can denote it as x = -1 and extends up to infinity on both sides.

Hence we can conclude that the graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.

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i need help-.. like fast please

Answers

the answer is (6) (-3)

Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. Write an equation to represent this situation.

Answers

Answer:

joe 20+ 4x

callie 14x

Step-by-step explanation:

If 8x – 4 = 6x – 10, find the value of 3x.

Answers

Answer:

-9

Step-by-step explanation:

8x-4=6x-10

2x-4=-10

2x=-6

x=-3

-3x3= -9

Write a linear function f with f(2)=−2 and f(1)=1.

Answers

Answer - the answer should be: -3x+4

down below is how i did it,

Step-by-step explanation:

use the formula mx+b=y

y is f(x)

m = -3

x = x

b = 4

so,

mx+b is -3x+4

A linear function is the function of a straight line.

The linear function is: [tex]\mathbf{f(x) = -3x + 4}[/tex]

The given parameters are:

[tex]\mathbf{f(2) =-2}[/tex]

[tex]\mathbf{f(1) =1}[/tex]

Calculate the slope (m)

[tex]\mathbf{m = \frac{f(b) - f(a)}{b -a}}[/tex]

So, we have:

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

[tex]\mathbf{m = \frac{-3}{1}}[/tex]

[tex]\mathbf{m = -3}[/tex]

The linear function is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = -3(x - 1) + 1}[/tex]

[tex]\mathbf{y = -3x + 3 + 1}[/tex]

[tex]\mathbf{y = -3x + 4}[/tex]

Rewrite as:

[tex]\mathbf{f(x) = -3x + 4}[/tex]

Hence, the linear function is: [tex]\mathbf{f(x) = -3x + 4}[/tex]

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Carmen buys a car for $28,000. The vehicle depreciates by 16% each year. Which of the following is the common ratio representing the car's value every year?
0.84
1.16
1.84
0.16

Answers

Answer:

y+mx+6=5

Step-by-step explanation:

Matt swam 225 yards in 5 minutes. If Matt swam at a constant rate, how fast did he swim in yards per minute?
-1,125 yd./min
-220 yd./min
-45 yd./min
-5 yd./min
Please answer fast!

Answers

5/5 = 1
225/5 = 45

45 yards per minute
225 divided by 5 equals 45 and so the answer is 45 yards per minute

yvonne began making beaded jewelry at home. After 2 months of advertising, costumes began to buy her jewelry. The graph shows the number of sales she made in the first 6 months.

Based on the graph, which stament is true

Answers

Answer:

i need the graph

Step-by-step explanation:

graph?

a lines slope is 1/3 and its y intercept is -6, what is this equation in slope intercept form?

Answers

Answer:

y=1/3x-6

Step-by-step explanation:

(A U B) U (A n B)
A= {1,3,7,9,10}
B={2,5,7,8,9,10}

Answers

Answer:

(A U B) = {1,2,3,5,7,8,9,10}

(A n B)= {7,9,10}

(A U B) U (A n B) = {1,2,3,5,7,8,9,10}

Step-by-step explanation:

Uhhh help please i cant do this rn im stuck

Answers

Answer:

i think its -2/1

slope= rise/run

z +5 = 6
Help please

Answers

Answer:

z = 1

Step-by-step explanation:

z + 5 = 6

z = 6 - 5

z = 1

Topic: Algebraic equations

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

z equals 1 so 1 + 5= 6

z+5 = 6

-5 -5

z = 1

There are 3 girls taking swimming lessons and 6 boys. Write the ratio that compares the girls to the total number of students

Answers

Answer:

3:9

Step-by-step explanation:

Answer:

3:9

Step-by-step explanation:

hope this helps. if im wrong sorry.

0.4(5x-15)=2.5(x+3) is this a infinite solution or one solution or no solution

Answers

Answer:

One solution

Step-by-step explanation:

The slope and y-intercept is different on both sides

The given equation has one solution which is the variable x = -27.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.

The equation is given in the question,

0.4(5x – 15) = 2.5(x+3)

Multiply both sides by 10

0.4(5x – 15) × 10=25(x+3) × 10

Refine

4(5x–15) =2.5(x+3)

Expand 4(5x-15): 20x-60

Expand 25(x+3): 25x+75

20x-60 = 25x+75

Add 60 to both sides

20x-60+60 = 25x+75 +60

Simplify the above equation,

20x=25x+135

Subtract 25x from both sides

20x-25x = 25x+135-25x

-5x  = -135

Divide both sides by -5

-5x / -5 = -135/5

x = -27

Therefore, the given equation has one solution which is the variable x = -27.

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Choose the equation one must solve to answer the question.
0 = 0.0048(x – 50)2 + 6
10 = 0.0048(x – 50)2 + 6
y = 0.0048(10 – 50)2 + 6

Answers

Answer:

The second option is correct 10= 0.0048(x-50)2+6

Step-by-step explanation:

I just completed it.

Answer: b (10=...)

the next one is 21 and 79 ft

In the figure below, m || n and p II q. Find the values of y and x.​

Answers

Answer:

x= 33

y= 106

Step-by-step explanation:

4x-58=74

+58 +58

4x=132

4x/4=132/4

x=33

If two parallel lines intersect another two parallel lines then all corresponding angles will be the same thus the value of y is 106° and x is 33°.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

It is known that the If two parallel lines intersect another two parallel lines then all corresponding angles will be the same.

Therefore, 74 = 4x - 58

4x = 132

x = 33.

Since 74° and the adjacent angle of y° are made by two parallel lines on the same line thus both will also same.

The adjacent angle of y = 74°

Since,  adjacent angle + y = 180°

y = 180 - 74 = 106°.

Hence "If two parallel lines intersect another two parallel lines then all corresponding angles will be the same thus the value of y is 106° and x is 33°".

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Answers

y=21/7

Explanation
7(y/7)=7(3/17)
y=7(3/17)
Multiple
y=21/7

Answer:

y = 21/17

Step-by-step explanation:

Can I have brainliest pls?

A retailer sends scratch-off coupons to registered customers; 30% of the coupons will reveal a discount of 50%. Before mailing, a manager selects 10 coupons at random from the stack of printed coupons and scratches to reveal the discount.

What is the probability that none of the coupons reveal a discount of 50%?

Upper P (Upper X = k) = (StartBinomial n choose k EndBinomial) (p) Superscript k Baseline (1 minus p) Superscript n minus k

Round to 3 decimal places.

Answers

The probability that none of the coupons reveal a discount of 50% is 0.28.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Binomial distribution states that,

P = [tex]^nC_kp^k q^{n - k}[/tex]

Now,

30% of the coupons will reveal a discount of 50%.

This means,

p = 30% = 0.3

q = 70% = 0.7

Now,

Select 10 coupons:

n = 10

Now,

The probability that none of the coupons reveal a discount of 50%.

[ None means k = 0 ]

So,

P(k) = [tex]^nC_kp^k q^{n - k}[/tex]

P(0) = [tex]^{10}C_0(0.3)^0 (0.7)^{10 - 0}[/tex]

P(0) = 10 x 1 x 0.028

P(0) = 0.28

Thus,

The probability that none of the coupons reveal a discount of 50% is 0.28.

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Answer:

.028

Step-by-step explanation:

Edge 2023

Pls the real answer

Answers

Answer:

79.25 in.

Step-by-step explanation:

multiply 11 and 7.25 to get the actual size

If ABC is the original and DEF is the image, what is the scale factor of this dilation ?

Answers

Answer:

The scale factor of this is 2

Step-by-step explanation:

Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5)

Answers

Answer:

y = 3x - 11      

Step-by-step explanation:

Step 1:

y = mx + b          Slope Intercept Form

Step 2:

y = 3x + b        Input Slope

Step 3:

- 5 = 3 ( 2 ) + b        Input x and y values

Step 4:

- 5 = 6 + b          Multiply

Step 5:

- 11 = b        Subtract 6 on both sides

Answer:

y = 3x - 11      

Hope This Helps :)

A 3 inch by 5 inch photograph is enlarged so that the longer side is 15 inches.
What is the length of the shorter side of the enlarged photograph

Answers

Answer:

the length of shorter side is 9 inches.

longer side is enlarged 3times

so shorter side will also be enlarged 3 times.

The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.

Prime factorization of 48: 2, 2, 2, 2, 3
Prime factorization of 72: 2, 2, 2, 3, 3

The greatest common factor is 2 ´ 2 ´ 2 ´ 2 ´ 3 ´ 3.

What is Ryan’s error?
Ryan did not include all the common factors in the greatest common factor.
Ryan did not list all the factors in the prime factorization of 48.
Ryan did not list all the factors in the prime factorization of 72.
Ryan found the least common multiple.

Answers

Answer:

Ryan found the least common multiple.

Step-by-step explanation:

(See attached for reference on LCM and GCF)

The method he used is to find the LCM

in this case the GCF should have been

2*2*2*3 = 24

Answer:

D on ed 2020

Step-by-step explanation:

Does 80/100 equal -8

Answers

Answer:

No.

Step-by-step explanation:

80/100 equals 0.8

AOE Find the angle of elevation if you are standing 400 ft. away and the building is 850 ft. tall?

Answers

Answer:

64.8°

Step-by-step explanation:

A

Please see attached a rough sketch for your reference

Step one:

Given data

the distance you are standing from the building represent the adjacent =400ft

and the height of the building represents the opposite= 850ft

Step two:

Required is the angle of elevation

applying SOH CAH TOA

Tan ∅= opp/adj

Tan ∅= 850/400

Tan ∅=2.125

∅=Tan-1(2.125)

∅=64.8°

The angle of elevation 64.8°

You can use the fact that buildings are usually standing perpendicular to the ground and ground for smaller distance acts as if its a straight plane.

The measurement of angle of elevation is [tex]64.798^\circ[/tex]

What is angle of elevation?


What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.

Similarly, there is angle of depression when the observer looks down.

See the figure attached below to understand the symbols used in calculations.

Since the building is 850 ft tall, we can assume that our height is almost 0 in comparison to this building (the angle deduced then will be approximately equal to the real angle).

Let you're standing on point O

Let the building's base is point A.

Let the top of the building is tagged as point E.

Then we have:

Length of OA = 400 ft.

Length of AE = 850 ft.

To find: angle AOE.

By using the trigonometric ratio tangent, we get:

[tex]tan(\angle AOE) = \dfrac{AE}{OA} = \dfrac{850}{400} = 2.125\\\\ m\angle AOE = arctan(2.125) = 64.798^\circ \text{\: (from calculator)}[/tex]

Thus, the measurement of angle of elevation is [tex]64.798^\circ[/tex]

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(92)4 in scientific notation BIG POINTS I HAVE UNTIL MIDNIGHT PLS HELP


A.) 9^8


B.) 9^7


C.) 9^6

Answers

Answer:

A. 9^8

Step-by-step explanation:

multiply the exponents

On a circle, which of these is not a straight line?
Circle your answer.
I
circumference
radius
chord
diameter

Answers

Answer:

circumference

Step-by-step explanation:

it's a circle

Cross multiplication;

2/3 5/6

Do u just multiply 6 and 2, & 3 and 5????

Answers

Answer:

[tex]2 \div 3 \times 5 \div 6 \: = 10 \div 18[/tex]

We just have to multiply not cross multiply,

10/18

Now, divide the equation

5/9 will be ur answer

Answer:

No

Step-by-step explanation:

[tex]\frac{2}{3} \frac{5}{6}[/tex]

2 goes into 6 3 times so it would be the same as 1 going into 3 3 times.

[tex]\frac{1}{3} \frac{5}{3}[/tex]

Since 3 doesn't go into 5 at all (and by that I mean a whole number) you don't change it.

Multiplying 1/3 and 5/3, you would get 5/9.

Multiplying 2/3 and 5/6, you would get 10/18, which simplifies to 5/9.

That is kind of how cross multiplying works.

Help question below please and thank you i will give brainliest

Answers

Answer: angle V = 41 degrees  (choice B)

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

Explanation:

We're told that RS = ST = RT. This means triangle RST has all three sides equal to one another. This triangle is equilateral. Each interior angle is 60 degrees. This is because each angle is y, and y+y+y = 180.

Since each angle of triangle RST is 60 degrees, this means angle STR is 60 degrees.

Let z be the measure of angle UTV. Note how

(angleSTR)+(angleUTV) = 180

60+z = 180

z = 180-60

z = 120

Making angle UTV to be 120 degrees

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

Now we can focus on triangle UTV since we have expressions for each interior angle

U = 4x-9T = 120V = 5x+6

Add up those angles, set the sum equal to 180, solve for x

U+T+V = 180

(4x-9)+(120)+(5x+6) = 180

9x+117 = 180

9x = 180-117

9x = 63

x = 63/9

x = 7

Use that x value to find the missing angle measures

angle U = 4x-9 = 4*7-9 = 28-9 = 19 degrees

angle V = 5x+6 = 5*7+6 = 35+6 = 41 degrees

Note how

U+T+V = 19+120+41 = 180

which helps confirm our answer.

Answer: angle V = 41 degrees  (choice B)

Step-by-step explanation: plz give brainliest

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