Solve and graph the following inequality: 3(7x+17) > -19 + 14x

Solve And Graph The Following Inequality: 3(7x+17) > -19 + 14x

Answers

Answer 1

Answer:

Solving the inequality we get: [tex]\mathbf{x>-7}[/tex]

Step-by-step explanation:

We need to solve and graph the inequality [tex]3(7x+17) > -19 + 14x[/tex]

Solving:

[tex]3(7x+17) > -19 + 14x[/tex]

Step 1: Multiply  3 with terms inside the bracket

[tex]21x+51 > -19 + 14x[/tex]

Step 2:Subtracting 51 on both sides

[tex]21x+51-51 > -19 + 14x-51\\21x>14x-70\\[/tex]

Step 3: Subtract 14x on both sides

[tex]21x-14x>+14x-70-14x\\7x>-70[/tex]

Step 4: Divide both sides by 7

[tex]\frac{7x}{7}>\frac{-70}{7}\\x>-10[/tex]

Solving the inequality we get: [tex]\mathbf{x>-7}[/tex]

The graph is attached in the figure below.

Solve And Graph The Following Inequality: 3(7x+17) > -19 + 14x

Related Questions

How do you undo x - 5?​

Answers

Answer:

x+5 or the full expression: x-5+5

Step-by-step explanation:

A company sells widgets. The amount of profit,y, made by the company is related to the selling price of each widgets,x, by the given equation. Using this equation, find out the maximum of profit the company can make, to the nearest dollar. Y=-x^2+64x-292

Answers

Answer:

The maximum amount of profit is 32

Step-by-step explanation:

Given

[tex]y=-x^2+64x-292[/tex]

Required

Calculate the maximum amount of profit

A quadratic function is of the form

[tex]y = ax^2 + bx + c[/tex]

and its maximum, y_max is calculated using:

[tex]y_{max} = \frac{-b}{2a}[/tex]

So for [tex]y=-x^2+64x-292[/tex]

By comparison with [tex]y = ax^2 + bx + c[/tex]

We have that:

[tex]a = -1[/tex]   [tex]b = 64[/tex]   and [tex]c = -292[/tex]

[tex]y_{max} = \frac{-64}{2*-1}[/tex]

[tex]y_{max} = \frac{-64}{-2}[/tex]

[tex]y_{max} = 32[/tex]

Hence, the maximum amount of profit is 32

Write and solve a real world problem involving a situation that can be represented by the
sequence f(n) = 15 + 2(n-1). |

Answers

Answer:

f(n)=2n + 13

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

Beth plays a video game in which she starts with 0 points. In round 1, she losses 31/2 points in round 2, she wins 281/2 points ,and in round 3, she losses another 3 1/2 points .What is her final score?

Answers

Answer:

[tex]21\frac{1}{2} \ or\ 21.5[/tex]

Step-by-step explanation:

Given that:

Initial score of Beth = 0

Round 1 scores:

Points lost = [tex]3\frac{1}{2} = 3.5[/tex]

Round 2 scores:

Points won = [tex]28\frac{1}{2}=28.5[/tex]

Round 3 scores:

Points lost = [tex]3\frac{1}{2} = 3.5[/tex]

To find:

The final score of Beth in the video game = ?

Solution:

Let us calculate the total points lost and total points won by Beth in the video game.

Then we will subtract the total points lost from the total points won to find the final score in the video game.

Total points won = 28.5

Total points lost = 3.5 + 3.5 = 7

So, final score = Total points won - Total points lost

Final score = 28.5 - 7 = 21.5 or [tex]\bold{21\frac{1}{2}}[/tex]

What is 3/16= c-7/8 please answer

Answers

Answer:

c=17/16

Step-by-step explanation:

3/16=c-7/8

find the common denominator

3/16=c-14/16

add 14/16 on both sides to cancel

c=17/16

Answer:

c= 17/16

Step-by-step explanation:

move 7/8 to the right so cancel it out by adding which would add with 3/16 giving 17/16 = c

3. Events A and B are independent. If P(A) = 0.3 and P(B) = 0.4 what is P(A and B)?
a. 0.12
b. 0.3
c. 0.7
d. 0.75

Answers

Answer:

Step-by-step explanation:

it depends on if you are adding A and B  it would be P= 0.7 and if you are multiplying it would be P= 0.12

8/10 - 3/4= answer this and ill give you the brainliest UWU

Answers

Answer: the answer be 1/20

Step-by-step explanation:

I hope it helps you :)

5x5^2=
2^3=
2^8=
27^4=

Answers

Answer:

1. 125

2. 8

3. 256

4. 531441

Answer:

1. 125

2. 8

3. 256

4. 531441

Step-by-step explanation:

If all three angles of one triangle are congruent to all three angles of another triangle, then the triangles are congruent

True
False

Answers

False
This will make the 2 triangles similar but not congruent

Josh had 4 five-dollar bills. Then his grandfather gave him 1 ten-dollar bill How much money does Josh have now?​

Answers

Answer:

30 dollars

Step-by-step explanation:

4(5) + 10 = 20 + 10 = 30

Josh now has 30 dollars because 4 times 5 is 20 and 1x10 is 10 so 20 plus 10 is 30

someone help me out, i’ll mark brainliest

Answers

Answer:

y=−8x+53

Step-by-step explanation:

I think... I'm not sure so I'm sorry if its wrong

Answer: Here is an explanation of how to get the answer.

Step-by-step explanation:

It tells you the slope is -8, so you know your equation will look like this:

y = -8x + b,

where b is the intercept. You also are given a point that is on the line, so that is an x and a y value that are a solution to the equation. You can plug those in and solve for b.

5 = -8(6) + b

53 = b

So, your equation is y = -8x + 53

Find x
X=
Can someone pls help

Answers

Answer:

x=10

Step-by-step explanation:

3x+10=6x-20 Set the angles equal to each other b/c they are alt. int. angles.

-3x       -3x Subtract by 3x on both sides to get x by itself

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

+10    =3x-20

+20         +20 Add 20 to both sides to get x by itself

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

30    =3x

/3        /3 Divide both sides by 3 to get x by itself

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

10    =x

x=10 Write x first.

Please answer this ASAP
Add these mixed numbers please
-2 ½ + 6 ⅓ =

Answers

Answer:

9.833333

Step-by-step explanation:

9.833333

Hope this helps

Alejandro went out to eat dinner, and the meal cost $70.00. If Alejandro received a 24% discount, what was the total value of the discount?

Answers

Answer:

16.8

Step-by-step explanation:

what is the slope of a line parallel to the line y=3x-4=8y+1

Answers

Answer:  If the original equation is y = 3x -4,  the slope is 3.

Any equation of a line parallel to the line y = 3x -4 will have a slope of 3.

Step-by-step explanation:

In slope-intercept form, y =mx + b the coefficient of x, m is the slope.

Here 3 is that value.

It is very unusual to have two equal signs in a question about slope.

I am not sure what to do with the =8y + 1

Is this supposed to be another equation in the system, missing a term?

I NEED HELP ASAPPPP IM TIMED PLS AND THANKS :)

Answers

Answer:

YAH WELL I WONT HELP YOU

" GET SMART DUMMY" LOLTHATS WHAT YOU SIAD TO ME :)

Step-by-step explanation:

when you go to sleep at night and you wake up in the morning and walk the whole street now you know you gotta show me say this maybe the start of something new

Need help solving problem

Answers

I can not see the picture

Determine the slope of the line containing points A(6, –7) & B(9, –9).

Answers

3/-3 .......................
The slope of the points is -2/3

A girl's hair is 12 3/8 inches long, if she has 2 1/2 inches cut off, how long will her hair
be

Answers

Answer:

10 2/6

Step-by-step explanation:

Answer:

9 7/8

Step-by-step explanation:

12 3/8-2 1/2=

because she is cutting it off u have to subtract

lets be frineds :))))

Answers

Answer:

thanks :)

Step-by-step explanation:

Ok.... ty for the points :)

what is greater than 1/2 what fractions are greater than 1/2 ​

Answers

Answer:

3/4

Step-by-step explanation:

3/4 is one example of a fraction that is greater than 1/2. If 1/2 become 2/4, therefore 3/4 is a fraction which is greater than 1/2.

What is the value of the expression -8×3.4 ?

Answers

Answer:

-27.2

Step-by-step explanation:

ANSWER ASAP AND PROVIDE A STEP BY STEP
WHAT IS

3(x+4)=2x-7 !!!!

Answers

First you distribute the 3. Then you subtract 2x from both sides, then you subtract 12 from Both sides.

A sailboat begins a voyage with 145 lb of food. The
crew plans to eat a total of 15 lb of food per day. The crew plans to have 25 lb
of food remaining when they end their voyage. How many days does the crew
expect their voyage to last?

Answers

Answer:

The crew expects their voyage to last 8 days.

Step-by-step explanation:

There are initially 145 lb of food in the sailboat.

The crew plans to eat 15 lb of food per day, and they want to leave 25 lb of food remaining when they end the voyage.

The amount of food to eat during the voyage is 145 - 25 = 120 lb.

Since the daily consumption of food is 15 lb, there is enough food for 120/15 = 8 days.

The crew expects their voyage to last 8 days.

helppp i don’t know how to find where the lines will intercept

Answers

the answer would be (-5 , 10)

Answer:

(-5,10)

Step-by-step explanation:

You need to do this by finding a point where it is a solution to both equations. You can do this by using systems of equations.

y=25+3x

y=-5-3x

subtracting, you get 0=30+6x

simply, -30=6x, x=-5.

you're half way done! now plug in x in one of the equations to get the y value.

-5*3+25 = y = 10

591,000 in scientific notation

Answers

5.91 x 10 squared of 3
5.91*10^3 because you need to put the decimal point between your first and second number in the sequence. Then multiply by ten to the power of however many zeroes there are.

What’s the slope ofY=3x+4

Answers

Answer:

3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 3x + 4

Step 2: Break Function

Identify Parts

Slope m = 3

y-intercept b = 4

is the correct pls help me!! I will mark you!!!

Answers

Answer:

-10 3

-9 4

-8 5

-3 10

Step-by-step explanation:

.........

Answer:

this it the answer i think

Step-by-step explanation:

as you can see in the picture below, i graphed the points and this is the function. i hope this helped!

Write the equation of the line fully simplified slope-intercept form​

Answers

Answer:

y=mx+b

Step-by-step explanation:

standard slope intercept form. just plug in slope and intercept

The Perimeter of a Pentagon is 20.5 centimeters. Four sides of this pentagon have the same length, in centimeters, x, and the other side has a length of 2.1 centimeters, as shown below. What is the value of x? ​

Answers

Answer:

[tex]4.6\ \text{cm}[/tex]

Step-by-step explanation:

Perimeter of the pentagon = 20.5 cm

Length of 4 sides = [tex]x[/tex]

Length of the other side = 2.1 cm

Perimeter of the pentagon will be

[tex]x+x+x+x+2.1=20.5\\\Rightarrow 4x+2.1=20.5\\\Rightarrow 4x=20.5-2.1\\\Rightarrow 4x=18.4\\\Rightarrow x=\dfrac{18.4}{4}\\\Rightarrow x=4.6\ \text{cm}[/tex]

The value of [tex]x[/tex] is [tex]4.6\ \text{cm}[/tex].

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