Carson is checking his work with Katie and finds that they disagree on a problem. Here’s what Katie wrote:

3x + 3 ≤ −2x + 5

3x ≤ −2x + 2

x ≤ 2



Is she right? Explain.

Answers

Answer 1

Answer:

-3 < 2x + 5 ≤ 7

Step-by-step explanation:

An inequality is a sentence with <, >, ≤, or ≥ as its verb. ... Similar statements hold for a ≤ b. ... To check, we can graph y1 = 3x - 5 and y2 = 6 - 2x. ... x ≤ 1. The solution set is {x|x ≤ 1}, or (-∞, 1]. The graph of the solution set is shown below. ... The sentence -3 < 2x + 5 ≤ 7 is an abbreviation for the preceding conjunction.


Related Questions

why are the properties of equality important in solving equations?​

Answers

Step-by-step explanation:

As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation. Here are the properties of equality you need to isolate terms and solve equations. The Subtraction Property of Equality is used when you have an equation with addition in it

May anyone help I’ll give 15 :)

Answers

Answer:

B. No. -6.5 is to the left of -6.3 on a number line. He should have switched the last two numbers.

Step-by-step explanation:

What is the product of 7/10 and 3 2/3?

1 3/5

1 13/15

2 17/30

3 7/15

Answers

It’s c just to let u know cause 3 is not 7/15

When flipping a coin, the probability of getting tails is 50% and heads 50%. What is the probability of getting heads
or tails?
50%
60%
75%
100%

Answers

Answer:

50%

Step-by-step explanation:

Most people assume the toss of a coin is always a 50/50 probability, with a 50 percent chance it lands on heads, and a 50 percent chance it lands on tails

Answer:

100%

Step-by-step explanation:

There is a 50% chance of getting heads, and 50% chance of getting tails.

If these two options are added together, you get 100%. There are only two options on a coin flip anyways, so the probability of getting heads or tails would be 100%.

what is the domain of the function f(x)=|x|

Answers

Answer:

All Real

Step-by-step explanation:

It’s would be 2/3.6 cause if x/21 of g would be in the 5 of x could equal 9-5+2

Find the x and y intercept of the line below


3x + 4y = 12

Answers

Answer: x intercept (4,0) y intercept (0,3)

Step-by-step explanation:

You are selling candy bars for a fundraiser. you want to sell at least $200. If snickers cost $2 per bar and M&M's cost $3 per bag, then write an inequality that represents all the possible combinations you can sell to meet your goal.

Answers

Answer:

Step-by-step explanation:

Goal = > $2500

Amount raised = $700

Amount needed to raise = $2500 - 700 = $1800

Number of candy bars needed = x

Price of a candy bar = $1.50

1.5x > 1800

x > 1800 ÷ 1.5

x > 1200

Answer: They need to sell more than 1200 candy bars.

Given that 7x−7y=18
Find x when y=−6
Give your answer as an improper fraction in its simplest form.

Answers

Answer:

-24/7

Step-by-step explanation:

7x -7(-6) = 18

7x + 42= 18

7x = -24

x= -24/7

write the equation of the line that passes through two points in slope intercept form (-8,1) and (2,-4)

Answers

Answer: Answer and explanation in pic

Step-by-step explanation:


Which expression is the simplest form of
(x4/7)^7

Answers

Answer:

7

Step-by-step explanation:

The solution of a+b>12 is a>−3. What is the value of b?

Answers

Answer:

we conclude that when we substitute b = 15, the solution of the inequality becomes:

[tex]a>-3[/tex]

Therefore, the value of b = 15.

The solution graph is also attached.

Step-by-step explanation:

Given the inequality expression

[tex]a+b>12[/tex]

Putting b = 15 in the inequality expression

[tex]a+b>12[/tex]

[tex]a+15>\:12[/tex]

subtract 15 from both sides

[tex]a+15-15>12-15[/tex]

simplify

[tex]a>-3[/tex]

Thus, we conclude that when we substitute b = 15, the solution of the inequality becomes:

[tex]a>-3[/tex]

Therefore, the value of b = 15.

The solution graph is also attached.

A turtle walks of a mile in 40 minutes. What is the unit rate when the turtles speed is expressed in miles per hour (60 minutes)? (needs to be a denominator)

Answers

Answer:

1.5 miles per hour.

Step-by-step explanation: Because is a turtle walks a mile in 40 minutes then half of that is 20 or half a mile which that 40 minutes plus 20 minutes is 60 minutes.

true or false:

Question attached:

Answers

Answer:

true

Step-by-step explanation:

What is the y-intercept of -x + 4 = y? *

Answers

Answer:

4

Step-by-step explanation:

Im sure it is as y=mx +c c being the interceot and mx as the gradient

Answer:

(0,4)

Step-by-step explanation:

Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!

Answers

The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.

What is a Linear Relationship?

On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.

The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.

Learn more about linear relationship on:

https://brainly.com/question/7040405

#SPJ2

If log25 ~ 2.3219,
evaluate log280.

Answers

Answer:

You need to write log_2 80 in terms of log_2 5 , such that:

log_2 80 = log_2 (8*10)  

Using the properties of logarithms, you need to convert the logarithm of product in summation of logarithms, such that:

log_2 (8*10)= log_2 8 + log_2 10

Since log_2 10 = log_2 (2*5) , yields:

log_2 (8*10)= log_2 8 + log_2 (2*5)

log_2 (8*10)= log_2 8 + log_2 2 + log_2 5

You need to write 8 as power of 2, such that:

log_2 (8*10) = log_2 (2^3) + log_2 2 + log_2 5

Using the power property of logarithms, log_a b^c = c*log_a b  yields:

log_2 (8*10) = 3log_2 2 + log_2 2 + log_2 5

Since log_2 2 = 1 yields:

log_2 (8*10) = 3 + 1 + 2.3219

log_2 (8*10) = 4 + 2.3219 => log_2 (8*10) = 6.3219

Hence, evaluating the given logarithm , using the indicated properties of logarithms, yields log_2 (8*10) = 6.3219 .

Step-by-step explanation:

The value of [tex]log_2{80}[/tex] if [tex]log_25 = 2.3219[/tex] is 6.3219.

What is a logarithm?

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, [tex]log_25 = 2.3219[/tex].

Now, To obtain the value of [tex]log_2{80}[/tex] we'll break it into suitable smaller parts.

Therefore,

[tex]log_2{80} = log_2({8\times10})[/tex].

[tex]log_2{80} = log_28 + log_210[/tex]

[tex]log_2{80} = log_28 + log_2({2\times5})[/tex].

[tex]log_2{80} = log_28 + log_22 + log_25[/tex].

[tex]log_2{80} = 3 + 1 + 2.3219[/tex].

[tex]log_2{80} = 6.3219[/tex].

learn more about logarithms here :

https://brainly.com/question/30085872

#SPJ2

please help!
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)

Answers

correct answer is that i need help with this too.

Write the slope-intercept form of the equation of each line.
x + 5y - 10

Answers

Answer:

y = -1/5x + 2

Step-by-step explanation:

I will assume the "-" is an equal sign. Solve for y.

x + 5y = 10

~Subtract x to both sides

5y = 10 - x

~Divide 5 to everything

y = 2 - 1/5x

~Reorder

y = -1/5x + 2

Best of Luck!

(n+8)/5=(n-1)/2 what is n

Answers

Answer:

Step-by-step explanation:

n=7

WILL GIVE BRAINLIEST


Quadrilaterals PQRS and TUVW are similar

What is the value of b in yards?

O 0.5 yd
0 3.2 yd
O 12.5 yd
0 28.8 yd

Answers

Answer:

3.2

Step-by-step explanation:

depending on what W-T looks like it seems the best answer

♡ The Question ♡      

Quadrilaterals PQRS and TUVW are similar.  

What is the value of b in yards?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

3.2 yd!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

Plz, Help me with this question.

Answers

Answer:

12x + 16y

Step-by-step explanation:

Multiply 4 and 3x to get 12x.

Multiply 4 and 4y to get 16y.

The sign stays positive because 4 is positive, so we end up with 12x + 16y.

Question 1 (5 points)
(02.01 LC)

Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime? (5 points)

a. 2 units
b. 3 units
c. 4 units
d. 5 units

Answers

Answer:

The answer to this question is b. 3 units

Answer:

D. 5 Units

Step-by-step explanation:

A translation is a different way of saying that the shape was moved. So since this is a movement nothing changed about the length of the line segment, meaning the line segment stayed 5 units.

Keesha has 12 glue bottles and 42 craft sticks.
What is the greatest number of supply bags
she can make if she puts an equal amount of
both in each bag?

Answers

Answer:

4 i believe

Step-by-step explanation:

42/12 is 3.5 so i’m guessing that it’s 3.5 bags, i could be wrong

Help i will give brainliest to the first one to have a REAL answer

Answers

Answer:

y = -32

Step-by-step explanation:

-6 (y+15) = -3y + 6

-6y - 90 = -3y + 6

-3y - 90 = 6 + 90

= -3 = 96

y = -32

Answer:

Y=28

Step-by-step explanation:

Distribute-6(y+15) > -6y-90

-6y-90=-3y+6 add the -3y to the -6y and the -90 to the 6

-3y=-84

Then just divide -84 by -3

Two hundred wildebeests and 150 gazelles grazed on the savannah what was the ratio of gazells to wildebeests grazing on the savannah/

Answers

Answer:

150:200

Step-by-step explanation:

You can simplify it too. 3:4

Evaluate start fraction 2 over 3 end fractionx for x = three-fourths
A. one-half
B. eight-ninths
C. The fraction states 9 over 8.
D. 2

Answers

Answer:

A

Step-by-step explanation:

In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
2
5
20
80

Answers

Answer:

20

Step-by-step explanation:

I hope this helps :))))

20 because you would multiply 100 times .20

2X+20 and X+60 I have to solve for X

Answers

Answer:

x = 40

Step-by-step explanation:

I don't understand, but I think you mean 2x + 20 = x + 60

So that's what I'm going to solve for if that's wrong tell me what you mean.

2x + 20 = x + 60 (subtract 20 on both sides)

2x = x + 40 (subtract x on both sides)

x = 40

HOPE THIS HELPS!

IF YOU HAVE A QUESTION ABOUT THIS COMMENT.

Answer:

x = 26.6

Step-by-step explanation:

1. 2x+20+x+60

2. Combine like factors (x' s, and 20+60)

3. 3x+80

4. divide 80 from 3 (80/3)

5. 26.6

David roller skates 33 miles in 2
3/4 hours. What is his average speed in
miles per hour?

Answers

Answer:

12 miles per hour

Step-by-step explanation:

3. Which polynomial has a leading coefficient of 4 and a degree of 3?

1 . 3x4 - 2x2 + 4x - 7
2. 4x4 - 3x3 + 2x2
3 .4 + x - 4x2 + 5x
4. 2x + x2 + 4x3​

Answers

Answer:

4

Step-by-step explanation:

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