What i want to know is.. why is that possible?
And, why we could add the two inequalities together down side there ??

What I Want To Know Is.. Why Is That Possible?And, Why We Could Add The Two Inequalities Together Down

Answers

Answer 1

Answer: Explanation below.

Step-by-step explanation:  A good question, since working with inequalities  and using the same operations as with "=" equations is a bit uncomfortable.  I don't have a mathematical proof for this operation, but approach it with a "Why not?" attitude.  If 9>6 and 130 > 30, why wouldn't 139>36?  There is nothing in the add operation that should upset the basic inequality.  I suggest https://www.storyofmathematics.com/inequalities-math for more information.


Related Questions

find the values of x and y

Answers

Answer:

x = 68°, y=14

Step-by-step explanation:

∵ m║n

∴ m∠x = 180 - m∠112

m∠x = 68°

∵ ∠x and ∠(5y - 2) are vertically oppose

∴ m∠(5y - 2) = m∠x

m∠(5y - 2) = 68

Make equation

5y - 2 = 68

5y = 68 + 2

5y = 70

y = 70/5

y = 14

Hope this helps

Answer: x = 68, y = 14

Step-by-step explanation:

• The supplement of the angle with the measure of 112° is :

[tex]\bf x + 112 = 180 \\ \bf x = 180 - 112 \\ \bf \boxed{ \color{#FF0000}x = 68 }[/tex]

This angle of 68° and the angle sign x° are in angular positions.

Internal alternators

The lines m and n are parallel, these angles have the same measure.

The marking of the angle x and the marking of the angle (5y-2)° are opposite to the vertex.

They have the same measure:

[tex]\bf 5y - 2 = 68 \\ \bf 5y = 68 + 2 \\ \bf 5y = 70 \\ \bf y = 70 \div 5 \\ \bf \boxed{ \color{#FF0000}y = 14 }[/tex]

if x=-y+3 and 3x-2y=-1 what is the value of x and y

Answers

Answer: x=1, y=2

Step-by-step explanation:

3(1) - 2(2)=-1

AWARDING 100 POINTS

Write blue, red, or orange in each section of the circle graph based on the following data:

There are 32 children. 25% of the children like blue, 16 children like red, and 8 children like orange.

Answers

25% of the children like blue, so 0.25*32 = 8 like blue. This is the same number of people who like orange.

So you'll have "blue" in one quarter slice and "orange" in another quarter slice.

So far, we've counted 8 blue + 8 orange = 16 total. Because there are 32 kids overall, this leaves 32-16 = 16 left. This matches up with the fact that 16 like red. This is half of 32, meaning we'll shade two quarter slices to indicate red. Put another way, you'll have "red" in two slices.

Check out the diagram below. That's one possible configuration (other combos are possible).

Ok so 25% like blue, so if we had to make an equation it would be 0.25 x 32 because that would give us the number of children who like blue. So, when we do that we get 8 which is the same amount of kids who like orange. So, 1/4 of that circle would be blue and another one fourth of the circle would be orange. So now we have to look at the red. It says "16 children like red" and we know that theres a total of 32 kids. So, since 1/2 of the circle was of the kids who like blue and orange, the other half has to show the amount of kids who just like red. Look at screenshot below to help.

solve pls brainliest

Answers

In coordinates, the first number is the x and the second one is y. In (4,2), 4 is the x and 2 is the y. The x axis goes from left to right and the y axis goes from up to down.

Help Help Help!!!!!!

Carrie's starting annual salary is $54,020. At the beginning of each new year, she recieves a 2,535 raise. What will her salary be after 15 years?

A. $86,975
B. $89,510
C. $92,045
D. $98,510

Answers

Answer:

Step-by-step explanation:

B is the answer

Answer:

C is the answer

Step-by-step explanation:

2,535 x 15= 38,025 + $54,020= $92,045 or C

Brainliest will be appreciated thank you!

find the y-intercept y= -3/5x-1

Answers

The satay in of a line is written as y = slope(x) + y intercept.

In the given equation the y-intercept is -1


Help!! I’m not sure what to do

Answers

Answer:

h=23

Step-by-step explanation:

triangle equals 180 degrees

180-40=140

140/4=35

H=23 hope it helps you out

complete the following sentence by using Cooperative adjective​

Answers

Answer:

m

Step-by-step explanation:

c: how long does it take the snail to crawl 85 inches

NEED ANSWER ASAPP PLSSS

INCLUDES PICTURE OF GRAPH

Answers

Answer:

8 minutes, 30 seconds, by the look of the graph.

Step-by-step explanation:

At a distance of 10 inches, 1 minute has passed.

So multiply that by 8.5, and you have 85 inches travelled over 8 minutes, 30 seconds.

8mins and some 30secs according to the graph

A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $80 a day plus $0.75 per mile to rent the same truck. Part A: Write an equation to find the number of miles in a day at which the rental costs for Company A and Company B are the same. Part B: Solve the equation.

Answers

m=number of miles

A=$110+$0.50m

B=$80+$0.80m

$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)

$30=$0.30m Divide each side by $0.30

100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.

Player I has two coins. One is fair (probability 1 2 of heads and 1 2 tails) and the other is biased with probability 1 3 heads and 2 3 tails. Both players know these probabilities. Player I knows which coin is fair and which is biased. He selects one of the coins and tosses it. The outcome of the toss is announced to II. Then II must guess whether I chose the fair or biased coin. If II is correct there is no payoff. If II is incorrect, she loses 1.

Required:
Draw the game tree. Be sure to indicate the information sets.

Answers

Answer:

Hi please make me brainly

Step-by-step explanation:

please

plot 1 1/2 and its opposite on the number line

Answers

Answer:

the opposite of 1 1/2(1.5) is -1 1/2(-1.5)

Step-by-step explanation:

Help with this question, ONLY NEED TO DO NUMBER 5!!

Answers

Answer:

Kendra stayed constant after two hours: meaning she could have went out or done whatever. She has stayed constant until (5,100) and then at (6,45) she started to go downhill.

Basically the graph goes (0,210) starting point; (1.5,155) started to go downhill; (2,100) stayed CONSTANT until (5,100) and at (6,45) she went downhill.

Yk for the answer hoped it helped :D

Step-by-step explanation:

NO LINKS!!!!! Please help me.

Absolute Maximum:
f(-3):
Absolute minimum:
Range:
Domain:
Is the graph a function?:
Relative Maximum(s):
Increasing Interval(s):
Decreasing Interval(s):
Relative minimum(s):​

THIS IS NOT MULTIPLE CHOICE!!!

Answers

Answers:

Absolute maximum:  4f(-3) = -2Absolute minimum: Does not existRange: [tex](-\infty, 4][/tex]Domain:  [tex][-4, \infty)[/tex]Is it a function? YesRelative Maximum(s): 2Increasing Interval(s): [tex](-2, 1)[/tex] ... interval notationDecreasing Interval(s): [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]Relative Minimum(s):  -4

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

Explanations:

The absolute maximum occurs at the highest point. Specifically, it's the largest y output possible. In this case, it's y = 4.

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

To determine the value of f(-3), we draw a vertical line through -3 on the x axis. Mark where this vertical line crosses the curve. Let's say its point P. From point P, draw a horizontal line until you reach the y axis. You should arrive at y = -2. Therefore, f(-3) = -2.

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The absolute min is similar to the absolute max, but now we're looking at the lowest y output possible. No such y value exists because the curve goes on forever downward.

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The range is the set of all possible y outputs. The range in compound inequality notation is [tex]-\infty < y \le 4[/tex] indicating y can be anything between negative infinity and 4. We can include 4. The range in interval notation is [tex](-\infty, 4][/tex]. Note the use of the square bracket so that we include the 4.

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

The domain is the set of x inputs possible. The smallest such input allowed is x = -4. There is no largest input because the graph goes on forever to the right. The domain is any x value such that [tex]-4 \le x < \infty[/tex] which condenses to the interval notation [tex][-4, \infty)[/tex]

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

This is a function because we cannot draw a single vertical line through more than one point on this curve; hence, this graph passes the vertical line test.

Put another way, any x input in the domain leads to exactly one and only one y output. This is a nonvisual way to prove we have a function.

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

A relative maximum occurs at any peak or mountain region. It is relatively the highest point in the neighborhood/region of points. There's one such mountain peak and it's at (1,2). We can think of this as a vertex of sorts for an upside down parabola. So the relative max is y = 2 because we're only concerned with the y value.

Note: y = 4 is not a relative max because there aren't any points to the left of that endpoint. A relative extrema must have points to the left and right of it for it to be a valid neighborhood.

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Imagine this curve represents a roller coaster. As we move to the right, going uphill on this curve is an increasing section. That would be the interval from x = -2 to x = 1. So we'd say -2 < x < 1 which condenses to the interval notation (-2, 1). This is not to be confused with ordered pair (x,y) notation.

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

Now we consider when we move downhill when we move to the right. This occurs on the intervals [tex]-\infty < x < -2[/tex] and also [tex]1 < x < \infty[/tex]. We don't include any of the endpoints. This is because at x = -2 and x = 1, the cart is neither moving uphill nor downhill. These locations are stationary resting points so to speak.

Those two inequalities mentioned convert to the interval notations [tex](-\infty, -2)[/tex] and [tex](1, \infty)[/tex] in that order.

Once we determined those separated disjoint regions, we glue them together with the use of the union symbol U.

Our answer for this part would be [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]. Any point in this collective region will be moving downhill when moving left to right.

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

This is similar to a relative maximum, but this time we're looking at the lowest valley point of a certain neighborhood. This is at (-2,-4). Therefore, the relative min is y = -4.

Help help help close

Answers

Answer:

x = 3.2

Step-by-step explanation:

Divide 400 by 125 to get x.

Answer:

x = 31.25%

Step-by-step explanation:

[tex]125 = x \: \: . \: \: 400 \\ \frac{125}{400} \times 100\% = x \\ 31.25\% = x[/tex]

Determine the number of terms n in each arithmetic series

a1 = -29, an = -119, Sn = -740

Please help :,(

Answers

n=the number of terms, so I believe the answer is 10

Which represents the solution to the inequality 4x + 7(3x - 3) ≤ 9 - 5x in interval notation

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 1

Interval Notation:

( − ∞, 1)

The total cost of a candleholder and 5 candles is $27.50. The
candleholder cost $7.50. Use the equation 5x+7.50 = 27.50 to
find x, the cost of one candle.
A $5.00
B $4.00
C $4.50
D $5.50

Answers

D $5.50 is the answer for this question.

What is the equation of the line -3 x - 2 y= 30 in slope intercept form​

Answers

Answer:

[tex]y=-\frac{3}{2}x-15[/tex]

Step-by-step explanation:

The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

So, all we have to do is make y the subject.

[tex]-3x-2y=30\\-2y=3x+30\\y=\frac{3x+30}{-2} \\y=-\frac{3}{2}x-15\\\\[/tex]

Answer:

y = (3/2)x - 15

Step-by-step explanation:

For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.

Original:

-3x - 2y = 30

and we want y to be the subject, so we start moving terms:

-3x = 30 + 2y

-3x - 30 = 2y

now it's just a matter of dividing both sides by 2 to give y as the subject

(-3/2)x - 15 = y

y = (-3/2)x - 15

solve pls brainliest

Answers

Answer:

1/4 - 1/8 = 2/8 - 1/8 = 1/8

Answer:

1) 2

2) 1

3) 8

Step-by-step explanation:

brainliest plz

4. 4^6x4^3
4^9 4^18 12^9 64^9

Answers

4^6*4^3= 4^9= 262144
Final answer: 4^9
Please mark brainliest, thanks

Lannie has 5/12 cups of chocolate chips. She needs 1/34 cups to make one batch of chocolate chip cookies. How many batches of chocolate chip cookies can she make?

Answers

Answer:

14 batches

Step-by-step explanation:

take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17

85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17

so 14 full batches

Help somone please and thank you

Answers

Answer:

120 students

Step-by-step explanation:

4/7×210=120 students

What is the rate of change for 1

Answers

Step-by-step explanation:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. The rate of change is 401 or 40 . This means a vehicle is traveling at a rate of 40 miles per hour.

Anything would help :))

Answers

The first one is 3 if that helps

Step-by-step explanation:

1.

x = number

x/4 = x/3 - 1

x/3 - x/4 = 1

4x/12 - 3x/12 = 1

x/12 = 1

x = 12

2.

the numerator is the top (it gives the number of the parts of the whole that are combined in the fraction).

the denominator is the bottom (it says in how many and therefore how small parts we split the whole).

x = numerator

y= denominator

fraction is x/y

y = x + 2

(x+3)/(y+3) = 23

x + 3 = 23(y + 3) = 23y + 69

x = 23y + 66

now we use the first equation (y = x + 2) and substitute it into the last equation :

x = 23(x + 2) + 66 = 23x + 46 + 66 = 23x + 112

x = -112/22 = -56/11

y = -68/22 = -34/11

the original fraction is

x/y = -56/11 / -34/11 = -56/11 × -11/34 = 56/34 = 28/17

3.

in 1 hour the large pipe has done 1/3 of the work. and the small pipe 1/6 of the work.

so, in total in 1 hour we get (1/3 + 1/6) done.

what factor do we need to multiply (1/3 + 1/6) to get 1/1 (the whole work) ?

x(1/3 + 1/6) = 1

x(2/6 + 1/6) = 1

x(3/6) = 1

x × 1/2 = 1

x = 2

it takes both pipes together 2 hours to empty the pool.

4.

very similar to 3.

we are just using days instead of hours.

in 1 day Erwin gets 1/2 of the work done and Ana 1/5 of the work. so, together, 1/2 + 1/5 of the total work in one day.

so, how many days to get 1/1 (the whole work) done ?

x(1/2 + 1/5) = 1

x(5/10 + 2/10) = 1

x(7/10) = 1

7x = 10

x = 10/7

it takes them together 10/7 days to mow the whole lawn.

What is a result for 5 + 3?

Answers

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation: See this is very complicated so since 8-5 would be 3 and 8-3 would be 5 you would understand that 5+3 is 8!

UWUWUWUWIWUWUWUUWWUWUWUUWWUUWUWWUUWUWUWWUUWU2UWUWUWUWUWUWUWUWUWUUWUWUWU​

Answers

Answer:

UWUWUWUUWUWUWUWUUWUWUW

Step-by-step explanation:

UwU OwO

Write numbers in the number grid to make it correct 4+?+9+?+?= 35

Answers

Hi

Answer:

4+5+9+8+9=35

Step-by-step explanation:

nvm about that

Answer:

Below.

Step-by-step explanation:

4 + 5 + 9 + 8 + 9 = 35.

The value of A is -6. The difference between A and C is 6. Type all possible values of C.

Answers

Answer:

-12, 0

Step-by-step explanation:

A= -6

If A-C = 6 then, A-6=C

-6-6 =C

C= -12

or C-A =6

C=A+6

C= -6+6

C=0

solve pls brainliest

Answers

Answer:

0÷3= 0

0/5= 0

Step-by-step explanation:

sorry if I did it wrong

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