How can you solve linear equations and inequalities in one variable, including equations with coefficients represented by letters?

Answers

Answer 1

Answer:

X=3

Step-by-step explanation:

For a linear equation like 2x + 3 = 9 you would start with subtracting 3 from both sides. Then you would divide both sides by 2 to get x by itself. You get x=3

For linear inequalities it’s the same but with a less than or equal sign. You just solve the same way. However if you divide a negative the sign flips like in my second example. I’m not sure if this is exactly what you are looking for since I don’t know what your problems look like but I hope it helps.

How Can You Solve Linear Equations And Inequalities In One Variable, Including Equations With Coefficients

Related Questions

You randomly selected one card from a 52-card desk. Find the probability of selecting a black nine or black three

Answers

The answer is one and 13

I need to find the slope.​

Answers

Answer:

The slope is 3/2

Answer :
3/2

Rise 3
Run 2

The ______ identity is 1.

Answers

Answer:

I believe its ,multiplication

Step-by-step explanation:

because any number you multiply be one is one

mark brainliest if correct please

Answer:

multiplication

Step-by-step explanation:

Cause of Peter griffen

Which of the following expressions is equivalent to the one below? 7(x + 7)


A.
7 + (x + 7)
B.
7x + 49
C.
7x + 7
D.
x + 49

Answers

B
Let me know if this helps

Chad bought 1 box of raisins. He gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. What fraction did he keep?
Write the answer in the simplest form

Answers

Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

ANSWER QUICK PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

case a) y=1/3x+8

case b) y=-3x+28

Step-by-step explanation:

case a)

parallel lines has the same slope, then, the searched line has the form:

[tex]y=\frac{1}{3} x +b[/tex]

Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has

[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]

Then, the line equation is y=1/3x+8

case b)

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is

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

Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,

[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]

Hence, the searced equation is y=-3x+28

Twenty five more than twice a number is fifty five. What is the number?

Answers

25 + 2x = 55

2x = 30

x = 15

The number is 15

Answer:

Step-by-step explanation:

If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55

Pls help
Find the questions?

Answers

Answer:

Step-by-step explanation:

(a). - 5t² + 35t - 60 = 0

(b). (x - 3)(x - 4) = 0

(c). t = 3, 4

24 - 6(2x-4) = 8x - 32

Answers

Answer:

X = 4

Step-by-step explanation:

24 - 12x + 24 = 8x - 32

48 - 12x = 8x - 32

     +12x.   +12x

48 = 20x - 32

+32.         +32

80 = 20x

divide both sides by 20

x = 4

-3/-11 + 5/9 find the sum

Answers

I think the answer is .8282
The sum will be 82/99 or also in decimal form 0.82

While on vacation, Jorge and Jackie traveled to Bryce Canyon National Park in Utah. They were impressed by the different elevations at the viewpoints along the road. The graph describes the elevations for several viewpoints in terms of the time since they entered the park. The graph represents a function E(t). Part A:Describe why the graph represents a function. Part B:Identify the domain in range of the function.

Answers

Answer:

timeline

Step-by-step explanation:

the table shows the same time I don't have your phone you u you y you can get a hold of y have a lot to do it you got a

The domain and range provides a definition for a graph

Part A: The graph represents a function because a vertical line drawn from the horizontal crosses the graph only once

Part B. Domain: 0 ≤ t ≤ 30

Range: 7000 < f(t) ≤ 9,300

Reason:

Part A: The reason why the graph represents a function is that a function is a one to one relationship that maps each element of the set known as the domain to exactly one element of the set which is the range of the function

Therefore, a vertical line drawn on the graph of a function crosses the graph only once, such that one input cannot have two outputs

Which gives that the graph is a function, given that all the vertical lines from the horizontal axis crosses the graph f(t) at exactly one point

Part B

Domain:

The domain of a function are the possible input values of the function

In the graph, the possible values of the time, t are; 0 ≤ t ≤ 30

The domain of the function is 0 ≤ t ≤ 30

Range:

The range of a function are the possible output values of the function

The range of the given function f(t) are; from approximately 7,000 feet to approximately 9,000 feet, which gives;

The range of the function: 7000 < f(t) ≤ 9,300

Learn more here:

https://brainly.com/question/24508506

https://brainly.com/question/14489958

Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helping her aunt clean her store.
How many hours did she work at the fastest food restaurant? How many hours did she help her aunt clean the store? In your response make sure to:
Create a model that can be used to determine the number of hours Kara worked at each job.
Define your variables.
Show all your work.

Answers

Answer:

First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x

10.50x + 4.25(16-x) =136.75

10.50x + 68 - 4.25x= 136.75

Then, you subtract 68 from both sides and subtract 4.25x from 10.50x

6.25x=68.75

Divide

X=11 that is how many hours she worked at the FAST FOOD RESTAURANT

Then 16-11 and that gives us how many hours she helped her aunt.

ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt

Step-by-step explanation:

Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.

The number of hours worked by Kara in the restaurant is; 11hours.

The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in her aunt's store is; 5hours.

First, we need to create a model for the work done and how much she earned.

Total earnings = $136.75

Total hours worked = 16 hours

Let hours worked at the restaurant = x

Let hours worked at the store = (16-x)

Hourly rate at restaurant = $10.50

Hourly rate at store = $4.25

The model is therefore in the form;

$10.50(x) + $4.25(16-x) = $136.75

To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.

Therefore;

10.50x + 68 - 4.25x = 136.75

6.25x = 68.75

x = 11

The number of hours worked by Kara in the restaurant is; 11hours.

The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.

Read more:

https://brainly.com/question/24392720

Which of the following values of x will result in an imaginary number for
√2x+7

Answers

x ≤ -4 will result in an imaginary number. (From the graph it's actually 3.5, so if you want to view in REAL number then it's x ≤ -3.5 which will result in imaginary numbers.)

But if you want an integer then It's x ≤ -4

Real Number as it's x ≤ -3.5

Solve for x (2x-8) (9x-10)

Answers

Answer

x+3=17

Step-by-step explanation:

Answer: 18x2 -92x+ 80

Step-by-step explanation:

answer pls hurry need this asap

Answers

The equation is y = -6x - 8

Answer:

y=-6x-8

Step-by-step explanation:

well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6

The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?

2 units
6 units
Square root of 12 units
Square root of 20 units

Answers

Answer:

its 6 units

Step-by-step explanation:

Answer:

Square root of 20

I really hope i'm right sorry in advanced if i'm not

-24 = -8(5x-7) im confused

Answers

Answer:

x=2

Step-by-step explanation:

In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.

-24 = -40x + 56  now you can solve it start by subtracting 56 on both sides

-80 = -40x now divide -40 on both sides

2=x

I hope this helps :)

have a nice day

1. How many terms are in 7y-2+9x-4?

Answers

Answer:

2 and they are x and y

Step-by-step explanation:

What is the unit rate if the candy is $7.80 for 2 pounds?

Answers

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy        ÷ 2

________

2 pounds ÷ 2

=  

3.9 candy

_______

1 pound

=  

3.9 candy

_______

pound

= 3.9 candy per pound

Can anyone thats really extremely excellent at math, history and english please help me out with my questions. Truly need help. Please only answer if you know how to. ( Just click on my name and go to my questions) answer.​

Answers

Answer:

Meeeeeeeeeeeeeeeeeeeeeee

Which investment data is best modeled by an exponential function?

Answers

Answer:

Answer is C.

Step-by-step explanation:

Please like and mark brainliest, thanks :)

Exponential functions are functions that increases geometrically. The correct graph that model the investment is the Graph C

Exponential graph

Exponential functions are functions that increases geometrically. The standard exponential function is expressed as  y = ab^x

The correct graph must represents a curve that increases steadily. From the given graph, the correct graph that model the investment is the Graph C

Learn more on exponential graph here:  https://brainly.com/question/2456547

#SPJ2

what is an equation in slope-intercept form of the line that passes through (6,10) and is parallel to the graph of y=1/3x-1 ?

Answers

the answer is: y=1/3x+8

Which choice represents the expression below as a single exponential
expression?
7^3•7^6

Answers

If you are adding them together, the answer would be 7^9

If you are solving the problem, the answer would be 40,353,607

i need helppp!!
worth 10 points

Answers

Answer:

I think that it is 120 but not sure

Step-by-step explanation:

sorry if wrong

Please Help ASAP IT'S DUE TODAY!!

Answers

140 ÷ 20 = 7

7 × 15 = 105

24

6 1/2

4. REINFORCE A recipe for lemonade call for 3 lemons for every 2 cups of water.
Create a table of equivalent ratios. Find at least one ratio where one of the quan
a fraction or decimal.
Lemons
Cups of water
a.
b.
c.
d.
e.

Answers

Answer:

PLZ MARK BRAINLIEST!

The answer is below...Can you farther explain on the part "Find at least one ratio where one of the quan

a fraction or decimal."

Step-by-step explanation:

LEMONS .         CUPS

3              :               2 .  3/2

6            :                 4 .  6/4

9              :               6     9/6

12           :                 8 .    12/8

15        :                   10 .    15/10

Solve the equation using the distributive property and properties of equality.

Negative 5 (a + 3) = negative 55

What is the value of a?

Answers

Answer:

6

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

+15       +15

-5a=-40

/-5   /-5

a=6

Answer:

A = 8

Step-by-step explanation:

-5(a+3)=-55

-5a-15=-55

-5a=-40

-40/-5=8

a=8

Drag the phrases into the box to match each expression.

Answers

You need to show a picture

Answer:

theres no image

Step-by-step explanation:

Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c

Answers

Answer:

2x^2-4x+1

Step-by-step explanation:

2(x-1)^2-1

2(x^2-2x+1)

2x^2-4x+2-1

2x^2-4x+1

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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]

[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]

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Who can help me with this for algebra 2

Answers

the answer to this equation is

x= 1, -3
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