Which inequality is true for all real numbers? check all that apply. 1.a – b < a + b 2.ac ≥ bc 3.If a ≥ b, then a + c ≥ b + c 4.If c > d, then a– c < a – d 5.If a < b, then a < b + c

Answers

Answer 1

Answer:c and d

Step-by-step explanation:

Answer 2

Statements in the options 3 and 4 are true inequalities.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here,

1) a - b < a + b

Here, the statement is not true.

2) ac ≥ bc

Here, the statement is not true.

3) If a ≥ b, then a + c ≥ b + c

Here, the statement is true.

4. If c > d, then a-c < a-d

Here, the statement is true.

5) If a < b, then a < b + c

Here, the statement is not true.

Therefore, options 3 and 4 are correct answers.

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Related Questions

可二人十
Help solve this problem

Answers

Hi! This is my first time helping someone so I hope this helps!

X=1
Y=5

First in the first equation, subtract x on both sides.

Y= 6-x

Then substitute that into the second equation.

-3x + 6-x = 2

-4x + 6= 2

-4x = -4

x= 1

Substitute it to the first equation

Y= 6-1

Y= 5

X= 1

Hope this helps. I hope you have a great day!

How can i solve to find AB?

Answers

Answer:

17

Step-by-step explanation:

AB + BC = AC.

Therefore,

[tex](3x+2)+(5x+7)=49[/tex]

Remove brackets:

[tex]3x+2+5x+7=49[/tex]

Add up terms:

[tex]8x+9=49[/tex]

Subtract 9 from both sides:

[tex]8x+9-9=49-9[/tex]

[tex]8x=40[/tex]

Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{40}{8}[/tex]

[tex]x=5[/tex]

----------

[tex]AB=3x+2=3(5)+2=15+2=17[/tex]

Find the midpoint of points A(-3,9) and B(0, 1) graphically.


Answers

Answer:

[tex](-\frac{3}{2} , 5)[/tex]

Step-by-step explanation:

The graph is in the image

[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2}) \\\\Simplify\\\\(-\frac{3}{2} , 5)\\[/tex]

The sum of three consecutive integers is 267. What is the largest integer?

Answers

Answer:

let integers be x,2x, 3x respectively

x+2x+3x= 267

6x= 267

x=267/6= 44.5

2x= 44.5*2= 89

3x= 44.5*3= 133.5

largest integer = 133.5

hope it helps

plz mark as brainliest

how to solve the equation 2= -9n +22-n

Answers

Answer:

n = 2

Step-by-step explanation:

2 - 22 = -9n + 22 - n - 22

-20 = -9n - n

-20 = -10n

-20/-10 = -10/-10n

-2 = -n

n = 2

Answer:

The value of n is 2.

Step-by-step explanation:

First, you have to collect like-terms :

[tex]2 = - 9n + 22 - n[/tex]

[tex]2 = - 10n + 22[/tex]

Next, you have to subtract 22 on both sides :

[tex]2 - 22 = - 10n + 22 - 22[/tex]

[tex] - 20 = - 10n[/tex]

Lastly, have to divide -10 on both sides :

[tex] - 10n = - 20[/tex]

[tex] - 10n \div - 10 = - 20 \div - 10[/tex]

[tex]n = 2[/tex]

The gestation period of humans (266 days) is what percent longer than the gestation period of pigs (115 days).

Answers

Answer:

56.8%

Step-by-step explanation:

(115/266)* 100 = 43.2%

which means 115 is 43.2% of 266

so,

The gestation period for Humans is 56.8% (100 - 43.2) longer than of pigs

I hope this is correct!

Simplify 6(1/4+5/2)-2

Answers

6(0.25+2.5)-2
6(2.75)-2
16.5-2
=14.5

Answer:

14 1/2 or 29/2

what is 0.004 ⃝ 4.00 *

Answers

0.004 < 4.00

Hope this helps! :)

solve 2x^3+7x^2-2x-1=o​

Answers

Answer:

[tex]x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}[/tex]

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

[tex]2x^3+7x^2-2x-1[/tex] = 0

We have to find all the factors of a and d and put them in a fraction

[tex]a=2\\d=-1\\\frac{1}{1,2}[/tex]

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get [tex]x^2+4x+1[/tex]

So now the equation is [tex](2x-1)(x^2+4x+1)[/tex]

Solve the second half of this equation using the quadratic formula to get

[tex]\sqrt{3}-2[/tex] and [tex]-\sqrt{3}-2[/tex]

We already know the solution for the first half of the equation (1/2)

So the final answers are:

[tex]x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}[/tex]

xy given x=3/5 and y= -3/4

Answers

Answer:

-9/20

Step-by-step explanation:

xy

Let x=3/5 and y= -3/4

3/5 * -3/4

-9/20

Answer: -9/20

Step-by-step explanation: xy means x times y, so all you need to do is substatute 3/5 in for x and -3/4 in for y multiply numerators times numerators and denominators times denominators.

Use rounding (to the nearest 10) to estimate the product of 3217 X 44.

Answers

So using whole number rounding I believe the answer you should get would be 141,550 as 3217 x 44 is equals to 141,548 so the answer may be 141,550 since 50 is the closest ten number to 48, with a distance of only 2 numbers.

The required, when rounded to the nearest 10, the estimated product of 3217 ×  44 is 128,800.

What is the product?

In mathematics, products are defined as the repetitive addition of a value a number of times to another value.

Here,
To estimate the product of 3217 × 44 by rounding to the nearest 10, we can round each number to the nearest 10 and then multiply:

3217 rounds to 3220

44 rounds to 40

So we can estimate the product as:

3220 × 40 = 128,800

Therefore, when rounded to the nearest 10, the estimated product of 3217 x 44 is 128,800.

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ANSWER ASAP!!!!
PLEASE INCLUDE STEP BY STEP EXPLANATION
DO A.

Answers

Answer:

57

Step-by-step explanation:

I prefer the equation in this format

[tex] \frac{3 |m - 2 {n}^{2} | }{4} [/tex]

substitute -4 for m and 6 for n

[tex] \frac{3 | - 4 - 2( {6}^{2}) | }{4} [/tex]

square the 6 then multiply by 2

[tex] \frac{3 | - 4 - 72| }{4} [/tex]

solve inside the absolute value then multiply by 3

[tex] \frac{3 | - 76| }{4} [/tex]

[tex] \frac{228}{4} [/tex]

divide by 4

[tex]57[/tex]

An object is translated by (x - 2; y- 6). If one point in the pre-image has the coordinates (-3, 7), what would be the
coordinates of its image?
(-5,1)
(-1, 13)
(-1,7)
(-9,5)

Answers

Answer:

(-5,1) would be the coordinates of its image

Answer:

(5,1)

Step-by-step explanation:

hope this helps

The measure of angle

Answers

Answer:
120 degrees

Explanation:
Opposite angles (angles that are on opposite sides of an intersection) are equal to each other. Because angle 2 and 120 degrees are opposite angles, angle 2 is equal to 120 degrees.

I hope this helped if it did, a brainliest would be much appreciated:)

In 35 divided by 5, 5 is the dividend, quotient, or divisor

Answers

Answer:

Divisor

Step-by-step explanation:

Find a formula for the general term
an (not the partial sum) of each infinite series (with starting point of n = 1.)
4/12+1+1/22+1+4/32+1+1/42+1+................

Answers

Answer and Explanation:

Solution: For the general term of each infinite series,

     n=1 and the series are:

4/12+1+1/22+1+4/32+1+1/42+1+……..

Let [4/12 +1] + [1/22 + 1] + [4/32+1] + [1/42+1] +………

Sum of infinite series= ∑n=1 [4/n+11 + 1/n] + [1/n+21 + 1/n] + [4/n+31 + 1/n] + [1/n+41 +1/n] +………..

For n=1.

Izzy is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 500
miles per minute to travel to the moon? Round to the nearest hour
8 hours
20 hours
478 hours
28,680 hours

Answers

Answer:

478 hours

Step-by-step explanation:

You would divide 239,000 by 500.

The following table shows the bonus earned by Samuel for selling different numbers of shirts:

Samuel's Bonus
Number of Shirts Sold Bonus Earned
9 24
12 32
15 40
18 48
21 ?

Answers

The answer is 56.
If you look, the second number column increases by eight each time. So take the last number, forty eight, and add eight to it.
Hope that helps!

Irving Manz works for Ben’s Food Mart. He is paid weekly on the basis of a 40-hour week at the rate of $8.95 an hour with time-and-a-half for overtime. During one week he works 49.5 hours. What was Irving’s time-and-a-half pay rate an hour?

Answers

Answer:

Irving earned about $363.00 during the week.

Step-by-step explanation:

Irving’s time-and-a-half pay rate an hour =$485.54

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Payment for one hour =  $8.95

So, paid for 40 hours

=40*$8.95

= $358.00

Now for -a-half overtime

=$8.95*1.5

= $13.425

Now, for extra 9.5 hours

=$13.425*9.5

=$127.5375

Hence,  Irving’s time-and-a-half pay rate an hour

=127.5375+358.00

=$485.54

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Analyze the diagram below and complete the instructions that follow. If ON = MN, find MN. A. 4 B. 5 C.4 sqrt{2}]. D 4 square root 30

Answers

Answer:

C. 4 sqr 2, sorry for the answer being late, hope this helps some one tho :)

Step-by-step explanation:

I took the quiz and got it correct

Answer:

The answer would indeed be C.

Step-by-step explanation:

Was in my test on edg.

Use completing the square to solve for x in the equation (x + 7) (x minus 9) = 25.

Answers

Answer:

x=1+/- the square root of 89

Answer:

x=1+ (square root of 89)

Step-by-step explanation:

The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 22/7 for π.

Answers

C=πd

r=21

d=42

C=132 ft, and D is your final answer. Hope it help!

Answer:

132

Step-by-step explanation:

D

Four hundred seven million eighty two thousand in numbers

Answers

Answer:

407082000

Step-by-step explanation:

hope it helps

Pls mark as brainiest...........

Answer:

407,820,000.

Step-by-step explanation:

This is how four hundred seven million eighty two thousand is written a numerical value.

The length of AB = in ?

Answers

AB = 2.894 inches

hope this helps

Which equation represents a direct linear variation?


y=1x

y = x2


y = x + 2


y=12x

Answers

Y=1x because if you draw it on the line you’ll see the linear variation

What is 10% of 344?

Answers

Answer:

34.4

Step-by-step explanation:

10% is the same thing as 0.1 so 344 times 0.1 is 34.4

A percent (%) is equal to 1/100 (We actually don't call that 'per''cent' for no reason)

So 10% is actually 10 times % which is:

[tex]10\% \\ 10(\frac{1}{100}) \\ \frac{10}{100} \\ \frac{1}{10}[/tex]

If you get a calculator and calculate 1/10 the calculator should give 0.1

You might be taught that to get the decimal form from percent you just move the decimal point to the left twice (like 34% -----> .34) but if you do this, you are essentially dividing by 100 or multiplying by 1/100

now you know 10% is 0.1 the next thing to do is multiply it to 344.

[tex]344(\frac{1}{10}) \\ \frac{344}{10} \\ 34.4[/tex]

Answer:

34.4

Step-by-step explanation:

344 x 1/10 = 34.4

Suri solved the equation x^2=49 and found that x = 7. What error did Suri make? 15 points to answer​

Answers

he was at the end of the day with u and I 6so was a little bit of a joke but I 6

Step-by-step explanation:

just like that I don't think you know that I have to do that again 261and but it 1was 1is 1and 1is 1and is not 774a

Dan drove his truck 2436 miles in six months at that rate how far will he drive in 12 months

Answers

Answer:

4,872 miles

Step-by-step explanation:

Step 1:

2,436 : 6

Step 2:

2,436 : 6 = x : 12

Step 3:

6x = 29,232

Answer:

x = 4,872

Hope This Helps :)

PLEASE HELP !! Which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)

Answers

Answer:

y = 1/2x - 4

Step-by-step explanation:

You would use point slope to solve this. y-y = m(x-x) with your numbers it would look like this ---> y+3 = 1/2(x-2). (I changed it to +3 because y- -3 = y+3. Two negatives make a positive.)  Next you would use the distributive property and it would look like this ---> y+3 = 1/2x - 1 -----> -3 on both sides ------->

y = 1/2x - 4. Hope this helped!!!!

In the diagram which angles are vertical angles

Answers

Answer:

angles that are opposite each other when two straight lines intersect.

Step-by-step explanation:

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